diff --git a/modsim_toolbox/.gitignore b/modsim_toolbox/.gitignore
new file mode 100644
index 0000000..d30925e
--- /dev/null
+++ b/modsim_toolbox/.gitignore
@@ -0,0 +1,223 @@
+.DS_Store
+.dev/
+
+# Byte-compiled / optimized / DLL files
+__pycache__/
+*.py[codz]
+*$py.class
+
+# C extensions
+*.so
+
+# Distribution / packaging
+.Python
+build/
+develop-eggs/
+dist/
+downloads/
+eggs/
+.eggs/
+lib/
+lib64/
+parts/
+sdist/
+var/
+wheels/
+share/python-wheels/
+*.egg-info/
+.installed.cfg
+*.egg
+MANIFEST
+
+# PyInstaller
+# Usually these files are written by a python script from a template
+# before PyInstaller builds the exe, so as to inject date/other infos into it.
+*.manifest
+*.spec
+
+# Installer logs
+pip-log.txt
+pip-delete-this-directory.txt
+
+# Unit test / coverage reports
+htmlcov/
+.tox/
+.nox/
+.coverage
+.coverage.*
+.cache
+nosetests.xml
+coverage.xml
+*.cover
+*.py.cover
+*.lcov
+.hypothesis/
+.pytest_cache/
+cover/
+
+# Translations
+*.mo
+*.pot
+
+# Django stuff:
+*.log
+local_settings.py
+db.sqlite3
+db.sqlite3-journal
+
+# Flask stuff:
+instance/
+.webassets-cache
+
+# Scrapy stuff:
+.scrapy
+
+# Sphinx documentation
+docs/_build/
+
+# PyBuilder
+.pybuilder/
+target/
+
+# Jupyter Notebook
+.ipynb_checkpoints
+
+# IPython
+profile_default/
+ipython_config.py
+
+# pyenv
+# For a library or package, you might want to ignore these files since the code is
+# intended to run in multiple environments; otherwise, check them in:
+# .python-version
+
+# pipenv
+# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.
+# However, in case of collaboration, if having platform-specific dependencies or dependencies
+# having no cross-platform support, pipenv may install dependencies that don't work, or not
+# install all needed dependencies.
+# Pipfile.lock
+
+# UV
+# Similar to Pipfile.lock, it is generally recommended to include uv.lock in version control.
+# This is especially recommended for binary packages to ensure reproducibility, and is more
+# commonly ignored for libraries.
+# uv.lock
+
+# poetry
+# Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control.
+# This is especially recommended for binary packages to ensure reproducibility, and is more
+# commonly ignored for libraries.
+# https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control
+# poetry.lock
+# poetry.toml
+
+# pdm
+# Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control.
+# pdm recommends including project-wide configuration in pdm.toml, but excluding .pdm-python.
+# https://pdm-project.org/en/latest/usage/project/#working-with-version-control
+# pdm.lock
+# pdm.toml
+.pdm-python
+.pdm-build/
+
+# pixi
+# Similar to Pipfile.lock, it is generally recommended to include pixi.lock in version control.
+# pixi.lock
+# Pixi creates a virtual environment in the .pixi directory, just like venv module creates one
+# in the .venv directory. It is recommended not to include this directory in version control.
+.pixi/*
+!.pixi/config.toml
+
+# PEP 582; used by e.g. github.com/David-OConnor/pyflow and github.com/pdm-project/pdm
+__pypackages__/
+
+# Celery stuff
+celerybeat-schedule*
+celerybeat.pid
+
+# Redis
+*.rdb
+*.aof
+*.pid
+
+# RabbitMQ
+mnesia/
+rabbitmq/
+rabbitmq-data/
+
+# ActiveMQ
+activemq-data/
+
+# SageMath parsed files
+*.sage.py
+
+# Environments
+.env
+.envrc
+.venv
+env/
+venv/
+ENV/
+env.bak/
+venv.bak/
+
+# Spyder project settings
+.spyderproject
+.spyproject
+
+# Rope project settings
+.ropeproject
+
+# mkdocs documentation
+/site
+
+# mypy
+.mypy_cache/
+.dmypy.json
+dmypy.json
+
+# Pyre type checker
+.pyre/
+
+# pytype static type analyzer
+.pytype/
+
+# Cython debug symbols
+cython_debug/
+
+# PyCharm
+# JetBrains specific template is maintained in a separate JetBrains.gitignore that can
+# be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore
+# and can be added to the global gitignore or merged into this file. For a more nuclear
+# option (not recommended) you can uncomment the following to ignore the entire idea folder.
+# .idea/
+
+# Abstra
+# Abstra is an AI-powered process automation framework.
+# Ignore directories containing user credentials, local state, and settings.
+# Learn more at https://abstra.io/docs
+.abstra/
+
+# Visual Studio Code
+# Visual Studio Code specific template is maintained in a separate VisualStudioCode.gitignore
+# that can be found at https://github.com/github/gitignore/blob/main/Global/VisualStudioCode.gitignore
+# and can be added to the global gitignore or merged into this file. However, if you prefer,
+# you could uncomment the following to ignore the entire vscode folder
+# .vscode/
+# Temporary file for partial code execution
+tempCodeRunnerFile.py
+
+# Ruff stuff:
+.ruff_cache/
+
+# PyPI configuration file
+.pypirc
+
+# Marimo
+marimo/_static/
+marimo/_lsp/
+__marimo__/
+
+# Streamlit
+.streamlit/secrets.toml
diff --git a/modsim_toolbox/.python-version b/modsim_toolbox/.python-version
new file mode 100644
index 0000000..e4fba21
--- /dev/null
+++ b/modsim_toolbox/.python-version
@@ -0,0 +1 @@
+3.12
diff --git a/modsim_toolbox/README.md b/modsim_toolbox/README.md
new file mode 100644
index 0000000..5c0e8b3
--- /dev/null
+++ b/modsim_toolbox/README.md
@@ -0,0 +1,45 @@
+# ModSim Toolbox
+
+ModSim Toolbox is a minimal example of building reusable, accelerated, and
+differentiable infrastructure for multimodal simulation on top of
+[fVDB](https://github.com/AcademySoftwareFoundation/openvdb/tree/master/fvdb).
+It is not a simulator for any particular sensor. Instead, it factors out the
+geometric work that most sensor simulations share, so that the physics
+specific to a given modality can be written separately, on top of a common
+tensor-based interface.
+
+## Components
+
+The toolbox covers three areas:
+
+- **geometry** — rotations and the coordinate frames a sensor is mounted in.
+- **voxels** — converting group-jagged meshes into an `fvdb.GridBatch`, and
+ carrying per-corner attributes onto the resulting voxels.
+- **ray tracing** — casting a bundle of rays against a voxel grid batch using
+ fVDB's voxel ray tracing, finding the nearest surface each ray hits, and
+ computing visibility between a surface and a direction (for example,
+ toward a light source).
+
+There is also a viewer (`visualization.Visualizer`) for displaying the
+result. Because ray tracing runs against voxel grids rather than triangle
+meshes, and because fVDB's operations are differentiable, the same trace can
+be used both for fast forward simulation and for gradient-based tasks such as
+calibration or inverse rendering.
+
+The toolbox does not model physics: it has no notion of spectra, materials,
+or units of radiance, and it does not read files. Every function operates on
+tensors and returns tensors, and the modules are stateless, with the
+exception of `visualization.Visualizer`, which owns a live viser server. What
+a modality's outputs represent — radiance, a range value, a label — is
+decided by the caller. This is what allows the same underlying trace to
+support different modalities, such as a panchromatic camera or a
+spectrometer, without changes to the toolbox itself.
+
+## Example
+
+[`examples/car`](examples/car) shows one modality built on the toolbox: a
+DIRSIG vehicle-glint scene, voxelized per OBJ group, imaged by the
+panchromatic frame camera described in the scene's own platform file, and
+shaded using solar irradiance and Beard-Maxwell BRDFs. The physics specific
+to that example — spectral reflectance, shading, band integration — is
+implemented in the example itself, not in the toolbox.
diff --git a/modsim_toolbox/examples/car/.gitignore b/modsim_toolbox/examples/car/.gitignore
new file mode 100644
index 0000000..307b457
--- /dev/null
+++ b/modsim_toolbox/examples/car/.gitignore
@@ -0,0 +1 @@
+/scene
diff --git a/modsim_toolbox/examples/car/README.md b/modsim_toolbox/examples/car/README.md
new file mode 100644
index 0000000..72fa8af
--- /dev/null
+++ b/modsim_toolbox/examples/car/README.md
@@ -0,0 +1,43 @@
+# Car: vehicle-glint example
+
+This example uses the toolbox to simulate a panchromatic frame camera imaging
+a car, based on RIT's DIRSIG vehicle-glint demo scene. The toolbox handles
+voxelization and ray tracing; this example adds the optical physics —
+solar irradiance, Beard-Maxwell BRDFs, spectral reflectance, and band
+integration — in `radiometry.py` and `shade`.
+
+## Layout
+
+| File | Contents |
+|---|---|
+| `main.py` | `build_scene`, `build_sensor`, `simulate`, `serve` |
+| `radiometry.py` | Solar spectrum, Beard-Maxwell, Fresnel, spectral resampling |
+| `loader.py` | Wavefront OBJ and DIRSIG `.platform` / `.ppd` / `.mat` / `.ems` / `.fit` parsing |
+
+## Scene data
+
+The scene data is not checked in. Download the DIRSIG vehicle-glint demo
+scene from the [DIRSIG demo scenes page](https://dirsig.cis.rit.edu/) and
+unpack it into `scene/`, subject to RIT's license terms for that data. This
+example reads five files from it:
+
+```
+scene/geometry/infiniti_g35_vn.obj car geometry, per group, with vertex normals
+scene/demo.platform 320x240 at 16 um, f = 100 mm, 0.400-0.800 um "Pan"
+scene/demo.ppd platform pose: 150 m up, yawed 135 deg
+scene/materials/demo.mat material table, referencing:
+scene/materials/*.ems, *.fit emissivity curves and Beard-Maxwell fits
+```
+
+The 6 km ground plane declared in the scene is replaced with a 40 m patch,
+and capture time and location are constants in `main.py` rather than parsed
+from the scene files. Everything else the demo ships is unused.
+
+## Running it
+
+```bash
+uv run python main.py
+```
+
+This opens a viser page showing the voxelized scene alongside the simulated
+focal plane, with controls for solar azimuth, elevation, and shadows.
diff --git a/modsim_toolbox/examples/car/loader.py b/modsim_toolbox/examples/car/loader.py
new file mode 100644
index 0000000..fdf7947
--- /dev/null
+++ b/modsim_toolbox/examples/car/loader.py
@@ -0,0 +1,556 @@
+"""Load Wavefront OBJ files and DIRSIG scene files into GPU tensors.
+
+:class:`Material`, :class:`Channel` and :class:`Instrument` are the data
+objects those files are loaded into.
+"""
+
+from __future__ import annotations
+
+import re
+from dataclasses import dataclass
+from pathlib import Path
+from xml.etree import ElementTree
+
+import numpy as np
+import torch
+
+
+@dataclass(frozen=True)
+class Material:
+ """One ``MATERIAL_ENTRY`` of a DIRSIG ``.mat`` file.
+
+ Lambertian ``ClassicEmissivity`` materials have all Beard-Maxwell fields
+ set to ``None``; ``ShellTarget`` materials carry the full set. The fit
+ nearest the sensor's band is used, since the two visible-band entries in
+ these files are identical.
+
+ Attributes:
+ id: The ``usemtl`` id the geometry refers to this material by.
+ name: Human readable material name.
+ reflectance: Spectral reflectance as ``(wavelength, value)`` tensors,
+ derived from the emissivity curve as ``1 - emissivity``.
+ Wavelengths in microns, shape: (S,) each. S: spectral samples.
+ n: Real part of the complex index of refraction, ``None`` for
+ Lambertian materials.
+ k: Imaginary part (extinction coefficient) of the index.
+ dhr: Directional hemispherical reflectance of the first-surface term,
+ which sets its absolute scale.
+ bias: Amplitude of the Gaussian microfacet orientation distribution.
+ sigma: Width of that Gaussian, in radians of half-vector tilt.
+ tau: Beard-Maxwell shadowing decay constant, in degrees of bistatic
+ angle.
+ omega: Beard-Maxwell obscuration constant, in degrees of half-vector
+ tilt.
+ rho_d: Lambertian volumetric reflectance.
+ rho_v: Directional-diffuse volumetric reflectance.
+ """
+
+ id: int
+ name: str
+ reflectance: tuple[torch.Tensor, torch.Tensor]
+ n: float | None = None
+ k: float | None = None
+ dhr: float | None = None
+ bias: float | None = None
+ sigma: float | None = None
+ tau: float | None = None
+ omega: float | None = None
+ rho_d: float | None = None
+ rho_v: float | None = None
+
+ @property
+ def is_specular(self) -> bool:
+ """Whether this material has a first-surface (glinting) lobe."""
+ return self.n is not None
+
+ @property
+ def brdf(self) -> dict[str, float]:
+ """The Beard-Maxwell parameters, ready to splat into the BRDF calls.
+
+ Returns:
+ The eight lobe and volumetric parameters keyed by the argument names
+ :func:`radiometry.beard_maxwell` and
+ :func:`radiometry.dhr_specular_scale` use. Empty for a Lambertian
+ material.
+ """
+ keys = ("n", "k", "bias", "sigma", "tau", "omega", "rho_d", "rho_v")
+ return {key: value for key in keys if (value := getattr(self, key)) is not None}
+
+
+@dataclass(frozen=True)
+class Channel:
+ """One spectral channel of the focal plane's response.
+
+ Attributes:
+ name: Channel name as it appears in the platform file, e.g. ``"Pan"``.
+ center: Center wavelength, in microns.
+ width: Full width of the channel's passband, in microns.
+ """
+
+ name: str
+ center: float
+ width: float
+
+
+@dataclass(frozen=True)
+class Instrument:
+ """A generic DIRSIG instrument: its optics, focal plane and mounting.
+
+ Attributes:
+ focal_length: Distance from the entrance pupil to the focal plane, in
+ millimeters. DIRSIG declares no unit for it; millimeters is the
+ format's convention.
+ x_count: Number of detector elements along the focal plane's x axis.
+ y_count: Number of elements along its y axis.
+ x_spacing: Center-to-center element pitch along x, in millimeters.
+ y_spacing: Pitch along y, in millimeters.
+ x_flip: Whether the x element index runs opposite to focal plane x.
+ y_flip: Whether the y element index runs opposite to focal plane y.
+ mount_rotation: Euler xyz rotation of the mount relative to the
+ platform, in radians, shape: (3,).
+ bandpass: Wavelength ``(minimum, maximum)`` the focal plane responds
+ over, in microns.
+ channels: The focal plane's spectral channels, in file order.
+ """
+
+ focal_length: float
+ x_count: int
+ y_count: int
+ x_spacing: float
+ y_spacing: float
+ x_flip: bool
+ y_flip: bool
+ mount_rotation: np.ndarray
+ bandpass: tuple[float, float]
+ channels: tuple[Channel, ...]
+
+
+def load_emissivity(path: Path) -> tuple[torch.Tensor, torch.Tensor]:
+ """Read the first curve of a DIRSIG ``.ems`` emissivity file.
+
+ The format is a count of curves, then 91 further header lines, then one or
+ more ``CURVE_BEGIN`` blocks of ``wavelength emissivity`` pairs. Files may
+ hold many curves -- ``grass_mixed.ems`` has 300 realizations of a grass
+ mixture -- and only the first is used here, which is the simplification
+ this renderer makes in place of DIRSIG's per-facet material sampling.
+
+ Args:
+ path: Path to the ``.ems`` file.
+
+ Returns:
+ A pair ``(wavelength, emissivity)`` with wavelengths in microns,
+ shape: (S,) each. S: number of samples in the curve.
+ """
+ lines = path.read_text().splitlines()
+ start = next(i for i, line in enumerate(lines) if line.strip() == "CURVE_BEGIN")
+
+ wavelength: list[float] = []
+ value: list[float] = []
+ for line in lines[start + 1 :]:
+ if line.strip() == "CURVE_BEGIN":
+ break
+ fields = line.split()
+ if len(fields) == 2:
+ wavelength.append(float(fields[0]))
+ value.append(float(fields[1]))
+
+ return (
+ torch.tensor(wavelength, dtype=torch.float64),
+ torch.tensor(value, dtype=torch.float64),
+ )
+
+
+def _payloads(text: str, keyword: str) -> list[str]:
+ """Collect the payload of every line opening with ``keyword``.
+
+ Args:
+ text: Block of OBJ text to scan.
+ keyword: Line keyword to match, such as ``v`` or ``f``.
+
+ Returns:
+ The remainder of each matching line, keyword and its space stripped.
+ """
+ prefix = keyword + " "
+ return [
+ line[len(prefix) :] for line in text.splitlines() if line.startswith(prefix)
+ ]
+
+
+def _float_rows(lines: list[str], device: str) -> torch.Tensor:
+ """Parse whitespace-separated ``xyz`` payloads into one tensor.
+
+ Trailing columns (vertex colors, the ``w`` of a rational position) are
+ dropped. Parsing is batched through numpy so a whole table is converted at
+ C speed and reaches the device in a single transfer.
+
+ Args:
+ lines: Payload of each ``v`` or ``vn`` line.
+ device: Torch device to place the result on.
+
+ Returns:
+ Parsed rows, shape: (N, 3). N: number of lines.
+ """
+ if not lines:
+ return torch.empty(0, 3, device=device)
+ return torch.from_numpy(
+ np.array([line.split()[:3] for line in lines], dtype=np.float32)
+ ).to(device)
+
+
+def load_obj(
+ path: Path, device: str = "cuda"
+) -> tuple[
+ list[torch.Tensor],
+ list[torch.Tensor],
+ list[torch.Tensor],
+ list[str],
+ list[int],
+]:
+ """Load a Wavefront OBJ, jagged over its ``g`` groups.
+
+ A group is the unit of authoring in a modelling package and the unit of
+ simulation here, so it is the jagged dimension: groups hold wildly
+ different vertex counts. A ``g`` line opens a group and everything up to
+ the next one belongs to it, so the file is split on those and read one
+ block at a time, each block yielding the group's own tensors.
+
+ OBJ indices are global and cumulative, and a file may declare its vertices
+ all at once up front or block by block, so the ``v`` and ``vn`` tables are
+ accumulated as the blocks are read and a group is resolved against
+ everything declared so far. A group is assumed to reference only its own
+ vertices, so its slice of the table is the span between the lowest and
+ highest position index its faces touch, and rebasing the faces onto that
+ slice is all the reconciliation needed.
+
+ Normals are not group-local: a block may reference a ``vn`` declared in an
+ earlier one, so they stay indices into the accumulated table. They are also
+ stored per face corner rather than per vertex, because the OBJ picks a
+ ``vn`` per corner independently of the position — a hard crease reuses a
+ position with a different normal on each side, which the corner represents
+ directly instead of splitting the vertex to encode it. A corner with no
+ ``vn`` takes the flat geometric normal of its own triangle.
+
+ Args:
+ path: Path to the ``.obj`` file.
+ device: Torch device to place all tensors on.
+
+ Returns:
+ A five-tuple describing one group per ``g`` block that declares faces,
+ in file order. The first three are lists of length G, one tensor per
+ group, ready to hand to :class:`fvdb.JaggedTensor` once any further
+ groups have been appended:
+
+ - ``vertices``: Group-local world-space vertex positions, shape:
+ (V_g, 3) each. G: number of groups; V_g: vertices in group g.
+ - ``normals``: Per-corner normals, three independent vectors per face,
+ shape: (F_g, 3, 3) each. F_g: triangles in group g. Not unit length;
+ the OBJ's ``vn`` values are passed through as written.
+ - ``faces``: Triangle corner indices into the group's own vertices,
+ shape: (F_g, 3) each.
+ - ``group_names``: Name of each group, length G.
+ - ``material_ids``: ``usemtl`` id of each group, length G (``-1`` if
+ absent).
+ """
+ # Anything before the first ``g`` is header and any tables the file
+ # declares up front; each split that follows is one group's block, opening
+ # with its name.
+ preamble, *blocks = re.split(r"^g[ \t]+", path.read_text(), flags=re.MULTILINE)
+
+ group_names: list[str] = []
+ material_ids: list[int] = []
+ group_vertices: list[torch.Tensor] = []
+ group_normals: list[torch.Tensor] = []
+ group_faces: list[torch.Tensor] = []
+
+ # Positions and normals contributed by the preamble and every block read so
+ # far, which is all the current group may reference.
+ v_blocks = [_float_rows(_payloads(preamble, "v"), device)]
+ vn_blocks = [_float_rows(_payloads(preamble, "vn"), device)]
+
+ for block in blocks:
+ name, _, body = block.partition("\n")
+ v_blocks.append(_float_rows(_payloads(body, "v"), device))
+ vn_blocks.append(_float_rows(_payloads(body, "vn"), device))
+
+ v = torch.cat(v_blocks) # (V_so_far, 3)
+ # Zero row appended so the flat-normal branch below always has a row to
+ # read, including for a file that declares no ``vn`` at all.
+ vn = torch.cat(vn_blocks + [torch.zeros(1, 3, device=device)])
+
+ # Corner indices into the file's tables, three corners per triangle.
+ # Polygons are fan-triangulated about their first corner, and a corner
+ # written without a ``vn`` gets index -1.
+ positions: list[int] = []
+ normal_refs: list[int] = []
+ for face in _payloads(body, "f"):
+ corner_v: list[int] = []
+ corner_vn: list[int] = []
+ for token in face.split():
+ parts = token.split("/")
+ corner_v.append(int(parts[0]) - 1)
+ corner_vn.append(
+ int(parts[2]) - 1 if len(parts) > 2 and parts[2] else -1
+ )
+ for i in range(1, len(corner_v) - 1):
+ for c in (0, i, i + 1):
+ positions.append(corner_v[c])
+ normal_refs.append(corner_vn[c])
+
+ if not positions:
+ continue
+
+ v_index = torch.tensor(positions, dtype=torch.int64, device=device).reshape(
+ -1, 3
+ ) # (F_g, 3)
+ vn_index = torch.tensor(normal_refs, dtype=torch.int64, device=device).reshape(
+ -1, 3
+ ) # (F_g, 3)
+
+ # The group's own span of the table, with its faces rebased onto it.
+ base = int(v_index.min())
+ vertices = v[base : int(v_index.max()) + 1] # (V_g, 3)
+ faces = (v_index - base).int() # (F_g, 3)
+
+ # Flat geometric normal of each triangle, the fallback for corners the
+ # file leaves without a ``vn``.
+ corners = vertices[faces.long()] # (F_g, 3, 3)
+ face_normal = torch.nn.functional.normalize(
+ torch.linalg.cross(
+ corners[:, 1] - corners[:, 0],
+ corners[:, 2] - corners[:, 0],
+ dim=-1,
+ ),
+ dim=-1,
+ ) # (F_g, 3)
+
+ materials = _payloads(body, "usemtl")
+ group_names.append(name.strip())
+ material_ids.append(int(materials[-1]) if materials else -1)
+ group_vertices.append(vertices)
+ group_normals.append(
+ torch.where(
+ (vn_index >= 0)[..., None],
+ vn[vn_index.clamp(min=0)],
+ face_normal[:, None, :],
+ )
+ ) # (F_g, 3, 3)
+ group_faces.append(faces)
+
+ return group_vertices, group_normals, group_faces, group_names, material_ids
+
+
+def ground_plane_mesh(
+ half_extent: float = 20.0,
+ z: float = 0.0,
+ device: str = "cuda",
+) -> tuple[torch.Tensor, torch.Tensor, torch.Tensor]:
+ """Build a flat rectangular mesh at height ``z`` for voxelization.
+
+ The returned tensors are a single geometry group shaped like one entry of
+ what :func:`load_obj` returns, so they can be appended to its lists before
+ constructing a :class:`fvdb.JaggedTensor`.
+
+ Args:
+ half_extent: Half-width of the square patch along each axis, in scene
+ meters.
+ z: Height of the plane in scene meters.
+ device: Torch device to place all tensors on.
+
+ Returns:
+ A 3-tuple of:
+
+ - ``vertices``: Corner positions, shape: (4, 3).
+ - ``normals``: Per-corner normals aligned with ``faces``, all pointing
+ up (+z), shape: (2, 3, 3). F: triangles (2).
+ - ``faces``: Triangle corner indices into ``vertices``, shape: (2, 3).
+ """
+ e = half_extent
+ vertices = torch.tensor(
+ [[-e, -e, z], [e, -e, z], [e, e, z], [-e, e, z]],
+ dtype=torch.float32,
+ device=device,
+ )
+ faces = torch.tensor([[0, 1, 2], [0, 2, 3]], dtype=torch.int32, device=device)
+ up = torch.zeros(2, 3, 3, device=device)
+ up[..., 2] = 1.0
+ return vertices, up, faces
+
+
+def _text(element: ElementTree.Element, tag: str) -> str:
+ """Return the text of a required child element, asserting it is present."""
+ value = element.findtext(tag)
+ assert value is not None, f"Required element {tag!r} missing"
+ return value
+
+
+# DIRSIG declares spatial and angular units as attributes on the element that
+# carries the values, so the scale factor is looked up rather than assumed.
+_LENGTH_TO_MM = {"microns": 1e-3, "millimeters": 1.0, "meters": 1e3}
+_LENGTH_TO_METERS = {"millimeters": 1e-3, "meters": 1.0, "kilometers": 1e3}
+_ANGLE_TO_RADIANS = {"radians": 1.0, "degrees": float(np.pi / 180.0)}
+
+
+def load_platform(path: Path) -> Instrument:
+ """Read a DIRSIG ``.platform`` file's instrument description.
+
+ Only the first enabled focal plane of the first instrument is read, which is
+ all this demo's platform declares.
+
+ Args:
+ path: Path to the ``.platform`` file.
+
+ Returns:
+ The instrument, with every length converted to millimeters and every
+ angle to radians.
+ """
+ root = ElementTree.parse(path).getroot()
+
+ mount = root.find(".//mount/data")
+ assert mount is not None
+ mount_scale = _ANGLE_TO_RADIANS[mount.get("angularunits", "radians")]
+ mount_rotation = mount_scale * np.array(
+ [float(_text(mount, f"{axis}rotation")) for axis in "xyz"], dtype=np.float64
+ )
+
+ array = root.find(".//detectorarray")
+ assert array is not None
+ to_mm = _LENGTH_TO_MM[array.get("spatialunits", "microns")]
+
+ bandpass = root.find(".//spectralresponse/bandpass")
+ assert bandpass is not None
+ return Instrument(
+ focal_length=float(_text(root, ".//instrument/properties/focallength")),
+ x_count=int(_text(array, "xelementcount")),
+ y_count=int(_text(array, "yelementcount")),
+ x_spacing=to_mm * float(_text(array, "xelementspacing")),
+ y_spacing=to_mm * float(_text(array, "yelementspacing")),
+ x_flip=bool(int(_text(array, "xflipaxis"))),
+ y_flip=bool(int(_text(array, "yflipaxis"))),
+ mount_rotation=mount_rotation,
+ bandpass=(
+ float(_text(bandpass, "minimum")),
+ float(_text(bandpass, "maximum")),
+ ),
+ channels=tuple(
+ Channel(
+ name=channel.get("name", ""),
+ center=float(_text(channel, "center")),
+ width=float(_text(channel, "width")),
+ )
+ for channel in root.findall(".//channellist/channel")
+ ),
+ )
+
+
+def load_platform_motion(path: Path) -> tuple[np.ndarray, np.ndarray]:
+ """Read the platform's pose from a DIRSIG ``.ppd`` file.
+
+ Only the first entry is read: this demo's platform is static, so its single
+ entry holds for every capture time.
+
+ Args:
+ path: Path to the ``.ppd`` file.
+
+ Returns:
+ A pair of ``(position, orientation)`` in scene ENU coordinates.
+ ``position``: Platform location in meters, shape: (3,).
+ ``orientation``: Euler xyz rotation in radians, shape: (3,).
+ """
+ data = ElementTree.parse(path).getroot().find("data")
+ assert data is not None
+ # The camera model below rotates instrument-frame directions straight into
+ # scene ENU, which only holds for these two conventions.
+ assert data.get("rotationframe") == "sceneenu"
+ assert data.get("rotationorder") == "xyz"
+
+ entry = data.find("entry")
+ assert entry is not None
+ point = entry.find("position/location/point")
+ assert point is not None
+ triple = entry.find("orientation/eulerangles/cartesiantriple")
+ assert triple is not None
+ position = _LENGTH_TO_METERS[data.get("spatialunits", "meters")] * np.array(
+ [float(_text(point, axis)) for axis in "xyz"], dtype=np.float64
+ )
+ orientation = _ANGLE_TO_RADIANS[data.get("angularunits", "radians")] * np.array(
+ [float(_text(triple, axis)) for axis in "xyz"], dtype=np.float64
+ )
+ return position, orientation
+
+
+def load_materials(path: Path, wavelength: float) -> dict[int, Material]:
+ """Read a DIRSIG ``.mat`` file and everything its entries reference.
+
+ For ``ShellTarget`` entries the Beard-Maxwell parameters are read from the
+ ``.fit`` file referenced by ``BRDF_FIT_FILE`` and inlined directly onto the
+ :class:`Material`. The fit block whose ``LAMBDA`` is nearest
+ ``wavelength`` is used; the two visible-band blocks in these files carry
+ identical parameters so the spectral variation is left entirely to the
+ reflectance curve.
+
+ Args:
+ path: Path to the ``.mat`` file. Emissivity and fit files are resolved
+ relative to its directory, as ``demo.scene`` declares.
+ wavelength: Band center in microns, used to select the nearest BRDF fit
+ block.
+
+ Returns:
+ Every material in the file, keyed by its ``usemtl`` id.
+ """
+
+ def _number(block: str, key: str) -> float:
+ m = re.search(rf"\b{key}\s*=\s*(\S+)", block)
+ assert m is not None
+ return float(m.group(1))
+
+ result: dict[int, Material] = {}
+ for block in re.findall(
+ r"MATERIAL_ENTRY\s*\{(.*?)\n\}", path.read_text(), re.DOTALL
+ ):
+ emissivity_match = re.search(r"FILENAME\s*=\s*(\S+)", block) or re.search(
+ r"EMISSIVITY_FILE\s*=\s*(\S+)", block
+ )
+ fit_match = re.search(r"BRDF_FIT_FILE\s*=\s*(\S+)", block)
+
+ assert emissivity_match is not None
+ emissivity_wl, emissivity_val = load_emissivity(
+ path.parent / emissivity_match.group(1)
+ )
+
+ bm: dict[str, float] = {}
+ if fit_match:
+ fit_blocks: list[str] = re.findall(
+ r"FIT_PARAMS\s*\{(.*?)\n\}",
+ (path.parent / fit_match.group(1)).read_text(),
+ re.DOTALL,
+ )
+ parsed = [
+ {
+ "n": _number(b, "N"),
+ "k": _number(b, "K"),
+ "dhr": _number(b, "DHR"),
+ "bias": _number(b, "BIAS"),
+ "sigma": _number(b, "SIGMA"),
+ "tau": _number(b, "TAU"),
+ "omega": _number(b, "OMEGA"),
+ "rho_d": _number(b, "RHO_D"),
+ "rho_v": _number(b, "RHO_V"),
+ "_lambda": _number(b, "LAMBDA"),
+ }
+ for b in fit_blocks
+ ]
+ best = min(parsed, key=lambda f: abs(f["_lambda"] - wavelength))
+ bm = {k: v for k, v in best.items() if k != "_lambda"}
+
+ id_match = re.search(r"\bID\s*=\s*(\d+)", block)
+ name_match = re.search(r"\bNAME\s*=\s*(.+)", block)
+ assert id_match is not None and name_match is not None
+ material = Material(
+ id=int(id_match.group(1)),
+ name=name_match.group(1).strip(),
+ # Kirchhoff: an opaque surface reflects what it does not absorb.
+ reflectance=(emissivity_wl, 1.0 - emissivity_val),
+ **bm,
+ )
+ result[material.id] = material
+ return result
diff --git a/modsim_toolbox/examples/car/main.py b/modsim_toolbox/examples/car/main.py
new file mode 100644
index 0000000..101cb39
--- /dev/null
+++ b/modsim_toolbox/examples/car/main.py
@@ -0,0 +1,565 @@
+"""Simulate the DIRSIG vehicle glint demo with fVDB, and serve it in viser.
+
+The demo scene ships everything a sensor simulation needs, and this example
+reads all of it rather than hard-coding any of it:
+
+``geometry/infiniti_g35_vn.obj``
+ One Infiniti G35 with vertex normals, voxelized per OBJ group via
+ :func:`modsim_toolbox.voxelize.voxelize_mesh`.
+``demo.platform`` / ``demo.ppd``
+ A 320 x 240, 16 um focal plane behind a 100 mm lens, 150 m up and yawed
+ 135 degrees. Parsed by :mod:`loader`, which casts one ray per element.
+``materials/demo.mat``
+ Spectral emissivities and Beard-Maxwell BRDF fits, loaded by
+ :mod:`loader` and evaluated by :mod:`radiometry`. The glossy paint and
+ glass are what glint.
+``demo.scene`` / ``demo.tasks``
+ Where and when: Rochester NY, 2010-08-03 11:06 local, which is what the
+ sun sliders default to.
+
+The four stages below run in the order they are written:
+:meth:`Scene.from_obj` turns the geometry into voxel grids,
+:meth:`Sensor.from_dirsig` reads the optics and the materials, :func:`simulate`
+casts one ray per detector element and shades what it hits, and :func:`serve`
+puts both in a browser. Every knob either stage has -- voxel sizing, the ground
+patch, the spectral grid, the capture time and place -- is a defaulted argument
+on the one that uses it, so the only module constants are the paths into the
+scene and the capture the scene was authored around.
+
+The radiometry is deliberately single-bounce: direct solar plus uniform diffuse
+sky, no interreflection and no path radiance between the scene and the
+platform. That is enough to reproduce what this demo exists to show -- glints
+off the car's specular paint and glass moving as the sun moves -- but it is not
+a substitute for DIRSIG's own radiometry solver.
+
+Wavelengths are microns and radiances are ``W / (m^2 sr)`` integrated over the
+channel's passband, unless stated otherwise.
+"""
+
+from __future__ import annotations
+
+import datetime as dt
+import time
+from pathlib import Path
+from typing import NamedTuple
+
+import fvdb
+import numpy as np
+import pandas as pd # pyright: ignore[reportMissingImports]
+import pvlib.solarposition # pyright: ignore[reportMissingImports]
+import torch
+
+from modsim_toolbox import geometry, trace, visualization, voxelize
+
+import loader # pyright: ignore[reportImplicitRelativeImport]
+import radiometry # pyright: ignore[reportImplicitRelativeImport]
+
+DEVICE = "cuda"
+
+SCENE_DIR = Path(__file__).parent / "scene"
+OBJ_FILE = SCENE_DIR / "geometry" / "infiniti_g35_vn.obj"
+PLATFORM_FILE = SCENE_DIR / "demo.platform"
+MOTION_FILE = SCENE_DIR / "demo.ppd"
+MATERIAL_FILE = SCENE_DIR / "materials" / "demo.mat"
+
+# Rochester NY, 2010-08-03 11:06 local, which is what demo.scene and demo.tasks
+# declare and what the sun sliders default to.
+CAPTURE_LATITUDE = 43.12
+CAPTURE_LONGITUDE = -77.67
+CAPTURE_TIME = dt.datetime(
+ 2010, 8, 3, 10, 0, 0, tzinfo=dt.timezone(dt.timedelta(hours=-5))
+) + dt.timedelta(seconds=4000)
+
+
+class Scene(NamedTuple):
+ """The voxelized scene a ray is traced against.
+
+ Attributes:
+ topology: Voxel grids, one per OBJ group plus the ground.
+ normals: Unit surface normal per voxel, jagged shape: (G, M_g, 3).
+ G: number of groups; M_g: voxels in group g.
+ materials: ``usemtl`` id of the group each voxel belongs to, jagged
+ shape: (G, M_g).
+ names: Name of each group, length G.
+ voxel_sizes: Voxel edge length per group, in scene meters, shape: (G,).
+ ground_z: Height of the ground plane in scene meters.
+ """
+
+ topology: fvdb.GridBatch
+ normals: fvdb.JaggedTensor
+ materials: fvdb.JaggedTensor
+ names: list[str]
+ voxel_sizes: torch.Tensor
+ ground_z: float
+
+ @classmethod
+ def from_obj(
+ cls,
+ path: Path,
+ detail_fraction: float = 0.35,
+ voxel_size_bounds: tuple[float, float] = (0.001, 0.1),
+ ground_half_extent: float = 20.0,
+ ground_voxel_size: float = 0.5,
+ ground_z: float = 0.0,
+ ground_material_id: int = 8000,
+ device: str = DEVICE,
+ ) -> Scene:
+ """Voxelize an OBJ and the ground it sits on.
+
+ Each OBJ group is voxelized at its own tessellation, so the wing mirrors
+ resolve without the underbody costing a fortune, and the ground patch is
+ added as one more group at a size that only has to catch shadows.
+
+ The defaults describe this demo: the scene's own 6 km ground box, whose
+ top is at z = 0 and which ``geometry.glist`` gives material 8000, stood
+ in for by a patch just big enough to hold the car's shadow.
+
+ Args:
+ path: Path to the ``.obj`` file.
+ detail_fraction: Voxel size per group as a fraction of that group's
+ own tessellation. Smaller oversamples; larger blurs.
+ voxel_size_bounds: Floor and ceiling on that size, in scene meters.
+ ground_half_extent: Half-width of the square ground patch, in scene
+ meters.
+ ground_voxel_size: Voxel edge length of the ground, in scene meters.
+ It only has to catch shadows, so it is coarse.
+ ground_z: Height of the ground plane in scene meters.
+ ground_material_id: ``usemtl`` id to give the ground.
+ device: Torch device to build everything on.
+
+ Returns:
+ The voxelized scene.
+ """
+ vertices, normals, faces, names, material_ids = loader.load_obj(path, device)
+ sizes = voxelize.estimate_voxel_size(
+ fvdb.JaggedTensor(vertices),
+ fvdb.JaggedTensor(faces),
+ detail_scale=detail_fraction,
+ smallest=voxel_size_bounds[0],
+ largest=voxel_size_bounds[1],
+ )
+
+ ground_vertices, ground_normals, ground_faces = loader.ground_plane_mesh(
+ ground_half_extent, ground_z, device
+ )
+ names = names + ["ground"]
+ material_ids = material_ids + [ground_material_id]
+ voxel_sizes = torch.cat([sizes, sizes.new_tensor([ground_voxel_size])])
+
+ topology, raw_normals = voxelize.voxelize_mesh(
+ fvdb.JaggedTensor(vertices + [ground_vertices]),
+ fvdb.JaggedTensor(faces + [ground_faces]),
+ fvdb.JaggedTensor(normals + [ground_normals]),
+ voxel_sizes,
+ )
+ return cls(
+ topology=topology,
+ normals=raw_normals.jagged_like(
+ torch.nn.functional.normalize(raw_normals.jdata, dim=-1)
+ ),
+ # The trace reports which voxel it hit, so materials are resolved
+ # per voxel: every voxel of a group carries that group's ``usemtl``.
+ materials=voxelize.broadcast_to_voxels(
+ topology, torch.tensor(material_ids, device=topology.device)
+ ),
+ names=names,
+ voxel_sizes=voxel_sizes,
+ ground_z=ground_z,
+ )
+
+
+class Sensor(NamedTuple):
+ """The instrument, where it is, and what it is looking at things made of.
+
+ Attributes:
+ instrument: Optics and focal plane, from the platform file.
+ position: Platform location in scene ENU coordinates, in meters,
+ shape: (3,).
+ rotation: Rotation taking instrument-frame directions into scene ENU,
+ shape: (3, 3).
+ materials: Every material the scene declares, matched to a voxel by
+ :attr:`loader.Material.id`.
+ specular_scales: First-surface normalization for each entry of
+ ``materials``.
+ wavelength: Wavelengths the channel response is sampled at, in microns,
+ shape: (W,). W: number of spectral samples.
+ weights: Band-integration weight per wavelength, shape: (W,).
+ """
+
+ instrument: loader.Instrument
+ position: np.ndarray
+ rotation: torch.Tensor
+ materials: list[loader.Material]
+ specular_scales: list[float]
+ wavelength: torch.Tensor
+ weights: torch.Tensor
+
+ @classmethod
+ def from_dirsig(
+ cls,
+ platform_path: Path,
+ motion_path: Path,
+ material_path: Path,
+ spectral_step: float = 0.01,
+ device: str = DEVICE,
+ ) -> Sensor:
+ """Read the optics, the pose and the materials from DIRSIG scene files.
+
+ ``demo.platform`` declares a 0.400-0.800 um bandpass and a single
+ rectangular "Pan" channel spanning all of it, so the channel response is
+ sampled as a boxcar over a grid of that step.
+
+ Args:
+ platform_path: Path to the ``.platform`` file, giving the optics and
+ the focal plane.
+ motion_path: Path to the ``.ppd`` file, giving the platform's pose.
+ material_path: Path to the ``.mat`` file, and through it the
+ emissivity curves and BRDF fits it references.
+ spectral_step: Spacing of the wavelength grid the channel response
+ and every spectrum are sampled on, in microns.
+ device: Torch device to build everything on.
+
+ Returns:
+ The sensor.
+ """
+ instrument = loader.load_platform(platform_path)
+ position, orientation = loader.load_platform_motion(motion_path)
+
+ # Instrument frame -> platform frame -> scene ENU, composed as matrices.
+ rotation = geometry.euler_to_mat(
+ torch.as_tensor(orientation, dtype=torch.float32, device=device)
+ ) @ geometry.euler_to_mat(
+ torch.as_tensor(
+ instrument.mount_rotation, dtype=torch.float32, device=device
+ )
+ )
+
+ # Sampled and windowed in float64: at the ends of the bandpass the
+ # boxcar edge falls exactly on a sample, so which side of it that sample
+ # lands on is decided by the last bit of the comparison.
+ low, high = instrument.bandpass
+ grid = np.arange(low, high + 1e-9, spectral_step)
+ window = np.zeros_like(grid)
+ for channel in instrument.channels:
+ window[np.abs(grid - channel.center) <= 0.5 * channel.width] = 1.0
+ wavelength = torch.as_tensor(grid, dtype=torch.float32, device=device)
+ response = torch.as_tensor(window, dtype=torch.float32, device=device)
+
+ materials = list(
+ loader.load_materials(
+ material_path, float(np.mean(instrument.bandpass))
+ ).values()
+ )
+ return cls(
+ instrument=instrument,
+ position=position,
+ rotation=rotation,
+ materials=materials,
+ specular_scales=[specular_scale(m) for m in materials],
+ wavelength=wavelength,
+ weights=radiometry.band_weights(wavelength, response),
+ )
+
+
+def specular_scale(material: loader.Material) -> float:
+ """Normalization for a material's first-surface lobe.
+
+ Args:
+ material: The material to scale, specular or not.
+
+ Returns:
+ The multiplier that reproduces the material's declared DHR, or 1.0 for a
+ Lambertian material, which has no first-surface term to scale.
+ """
+ if not material.is_specular:
+ return 1.0
+ assert material.dhr is not None
+ return radiometry.dhr_specular_scale(material.dhr, **material.brdf)
+
+
+def shade(
+ hit: trace.Hit,
+ material: torch.Tensor,
+ sunlit: torch.Tensor,
+ view: torch.Tensor,
+ toward_sun: torch.Tensor,
+ elevation: float,
+ sensor: Sensor,
+ shadows: bool = True,
+) -> torch.Tensor:
+ """Compute band-integrated radiance toward the sensor for every ray.
+
+ Direct sunlight is scattered by the material's BRDF, the shadow mask gates
+ it, and a uniform sky adds a Lambertian term weighted by how much of the
+ hemisphere the surface can see.
+
+ Args:
+ hit: Where each ray met the scene. N: number of rays.
+ material: ``usemtl`` id of the surface at each hit, -1 where the ray
+ escaped, shape: (N,).
+ sunlit: True where the sun reaches the surface, shape: (N,), dtype bool.
+ view: Unit direction from each surface point back toward the sensor,
+ shape: (N, 3).
+ toward_sun: Unit direction from the scene toward the sun, shape: (3,).
+ elevation: Solar elevation in degrees above the horizon.
+ sensor: Supplies the material table and the channel weighting.
+ shadows: Whether the shadow mask gates the direct beam.
+
+ Returns:
+ Radiance in ``W / (m^2 sr)`` integrated over the channel, shape: (N,).
+ """
+ direct, diffuse = radiometry.solar_spectrum(sensor.wavelength, elevation)
+
+ cos_incident = (hit.normal * toward_sun).sum(-1)
+ cos_reflected = (hit.normal * view).sum(-1)
+ half = torch.nn.functional.normalize(toward_sun + view, dim=-1)
+ cos_half = (hit.normal * half).sum(-1)
+ cos_bistatic = (half * toward_sun).sum(-1)
+ lit = (cos_incident > 0.0) & (cos_reflected > 0.0) & hit.hit
+ if shadows:
+ lit &= sunlit
+
+ # How much of the sky hemisphere the surface sees, for the ambient term.
+ sky_view = (0.5 * (1.0 + hit.normal[:, 2])).clamp(0.0, 1.0)
+
+ radiance = torch.zeros(len(hit.point), device=hit.point.device)
+ for index, entry in enumerate(sensor.materials):
+ selected = material == entry.id
+ if not bool(selected.any()):
+ continue
+ wl, value = entry.reflectance
+ reflectance = radiometry.resample(
+ wl.to(DEVICE), value.to(DEVICE), sensor.wavelength
+ ).to(torch.float32)
+
+ if not entry.is_specular:
+ # Lambertian: SPECULAR_FRACTION is 0 for both ClassicEmissivity
+ # materials in this scene.
+ brdf = (reflectance / torch.pi)[None, :].expand(int(selected.sum()), -1)
+ else:
+ # The material's DHR is the first-surface share of the total
+ # reflectance; whatever is left scatters diffusely and carries the
+ # material's color.
+ assert entry.dhr is not None
+ lobe = radiometry.beard_maxwell(
+ cos_incident[selected],
+ cos_reflected[selected],
+ cos_half[selected],
+ cos_bistatic[selected],
+ specular_scale=sensor.specular_scales[index],
+ **entry.brdf,
+ )
+ body = ((reflectance - entry.dhr).clamp(min=0.0) / torch.pi)[None, :]
+ brdf = lobe[:, None] + body
+
+ beam = (
+ brdf
+ * direct[None, :]
+ * (cos_incident[selected] * lit[selected]).clamp(min=0.0)[:, None]
+ )
+ sky = (
+ (reflectance / torch.pi)[None, :]
+ * diffuse[None, :]
+ * sky_view[selected][:, None]
+ )
+ radiance[selected] = ((beam + sky) * sensor.weights[None, :]).sum(-1)
+
+ return torch.where(hit.hit, radiance, 0.0)
+
+
+def simulate(
+ scene: Scene,
+ sensor: Sensor,
+ azimuth: float,
+ elevation: float,
+ shadows: bool = True,
+) -> np.ndarray:
+ """Render one full-resolution frame of the focal plane.
+
+ Args:
+ scene: The voxelized scene to trace against.
+ sensor: The instrument to trace from.
+ azimuth: Solar azimuth in degrees, clockwise from north.
+ elevation: Solar elevation in degrees above the horizon.
+ shadows: Whether to trace shadow rays.
+
+ Returns:
+ Band-integrated radiance in ``W / (m^2 sr)``, shape: (H, W). H:
+ detector rows, y element count. W: columns, x element count.
+ """
+ instrument = sensor.instrument
+ origins, directions = trace.rays_from_pinhole(
+ instrument.focal_length,
+ instrument.x_count,
+ instrument.y_count,
+ instrument.x_spacing * (-1.0 if instrument.x_flip else 1.0),
+ instrument.y_spacing * (-1.0 if instrument.y_flip else 1.0),
+ torch.as_tensor(sensor.position, dtype=torch.float32, device=DEVICE),
+ sensor.rotation,
+ )
+
+ hit = trace.first_hit(scene.topology, scene.normals, origins, directions)
+ toward_sun = radiometry.sun_direction(azimuth, elevation).to(DEVICE)
+ sunlit = ~trace.shadowed(scene.topology, hit.point, hit.normal, toward_sun)
+
+ radiance = shade(
+ hit,
+ material=torch.where(hit.hit, scene.materials.jdata[hit.voxel], -1),
+ sunlit=sunlit,
+ view=-directions,
+ toward_sun=toward_sun,
+ elevation=elevation,
+ sensor=sensor,
+ shadows=shadows,
+ )
+ return radiance.reshape(instrument.y_count, instrument.x_count).cpu().numpy()
+
+
+def two_sigma_scale(image: np.ndarray, sigmas: float = 2.0) -> np.ndarray:
+ """Scale a high dynamic range image the way DIRSIG's viewer does.
+
+ The demo's own README points out that min/max scaling hides everything once
+ a glint saturates the range, and that its "two sigma" scaling is what makes
+ the scene legible. This is that: clip to the mean plus or minus a couple of
+ standard deviations, then stretch.
+
+ Args:
+ image: Radiance image, shape: (H, W). H: detector rows. W: columns.
+ sigmas: Half-width of the retained range, in standard deviations.
+
+ Returns:
+ Display image in ``[0, 255]``, shape: (H, W, 3), dtype uint8.
+ """
+ mean = float(image.mean())
+ deviation = float(image.std())
+ low = max(image.min(), mean - sigmas * deviation)
+ high = min(image.max(), mean + sigmas * deviation)
+ scaled = np.clip((image - low) / max(high - low, 1e-12), 0.0, 1.0)
+ return np.repeat((255.0 * scaled).astype(np.uint8)[:, :, None], 3, axis=2)
+
+
+def serve(
+ scene: Scene,
+ sensor: Sensor,
+ capture_time: dt.datetime = CAPTURE_TIME,
+ latitude: float = CAPTURE_LATITUDE,
+ longitude: float = CAPTURE_LONGITUDE,
+ port: int = 8080,
+) -> None:
+ """Show the voxels and the simulated focal plane in a viser page.
+
+ Blocks until the process is interrupted.
+
+ Args:
+ scene: The voxelized scene, drawn as colored point clouds.
+ sensor: The instrument to simulate with.
+ capture_time: When the scene is being imaged, which with the
+ geolocation sets where the sun sliders start.
+ latitude: Scene latitude in degrees north.
+ longitude: Scene longitude in degrees east.
+ port: TCP port for the viser web interface.
+ """
+ vis = visualization.Visualizer(host="0.0.0.0", port=port)
+ server = vis.server
+ vis.add_grid_batch(
+ "/voxels",
+ scene.topology,
+ scene.normals,
+ visualization.normal_colormap(),
+ point_size=scene.voxel_sizes * 0.5,
+ names=scene.names,
+ )
+
+ position = pvlib.solarposition.get_solarposition(
+ pd.DatetimeIndex([capture_time]), latitude, longitude
+ )
+ sun = (float(position["azimuth"].iloc[0]), float(position["elevation"].iloc[0]))
+ print(f"sun at capture time: azimuth {sun[0]:.1f} deg, elevation {sun[1]:.1f} deg")
+
+ with server.gui.add_folder("Sun"):
+ azimuth_slider = server.gui.add_slider(
+ "Azimuth (deg)", min=0.0, max=360.0, step=1.0, initial_value=sun[0]
+ )
+ elevation_slider = server.gui.add_slider(
+ "Elevation (deg)", min=0.0, max=90.0, step=1.0, initial_value=sun[1]
+ )
+ shadow_toggle = server.gui.add_checkbox("Shadows", initial_value=True)
+ reset_button = server.gui.add_button("Reset to capture time")
+ resimulate_button = server.gui.add_button("Resimulate")
+
+ status = server.gui.add_markdown("")
+ image_handle = server.gui.add_image(
+ np.zeros((sensor.instrument.y_count, sensor.instrument.x_count, 3), np.uint8),
+ label="Simulated focal plane",
+ format="png",
+ )
+
+ def resimulate() -> None:
+ """Re-render the focal plane for the sliders' current sun angle."""
+ azimuth, elevation = float(azimuth_slider.value), float(elevation_slider.value)
+ status.content = (
+ f"Simulating at azimuth {azimuth:.0f}, elevation {elevation:.0f}..."
+ )
+ start = time.perf_counter()
+ image = simulate(
+ scene, sensor, azimuth, elevation, shadows=bool(shadow_toggle.value)
+ )
+ image_handle.image = two_sigma_scale(image)
+ server.scene.add_point_cloud(
+ "/sun",
+ points=(200.0 * radiometry.sun_direction(azimuth, elevation))
+ .unsqueeze(0)
+ .numpy(),
+ colors=np.array([[255, 240, 120]], np.uint8),
+ point_size=6.0,
+ point_shape="circle",
+ )
+ status.content = (
+ f"azimuth {azimuth:.0f} deg, elevation {elevation:.0f} deg \n"
+ f"radiance {image.min():.2f} to {image.max():.2f} W/(m^2 sr) \n"
+ f"{time.perf_counter() - start:.2f} s"
+ )
+
+ @resimulate_button.on_click
+ def _(_event) -> None:
+ resimulate()
+
+ @reset_button.on_click
+ def _(_event) -> None:
+ azimuth_slider.value, elevation_slider.value = sun
+ resimulate()
+
+ resimulate()
+ print(f"viser running at http://localhost:{server.get_port()} (ctrl-c to exit)")
+ while True:
+ time.sleep(1.0)
+
+
+def main() -> None:
+ """Voxelize the car, read the sensor, and serve the simulation in viser."""
+ scene = Scene.from_obj(OBJ_FILE)
+ print(
+ f"{OBJ_FILE.stem}: {len(scene.names)} groups, "
+ f"{len(scene.normals.jdata)} voxels, "
+ f"{1000 * float(scene.voxel_sizes.min()):.1f}-"
+ f"{1000 * float(scene.voxel_sizes.max()):.1f} mm"
+ )
+
+ sensor = Sensor.from_dirsig(PLATFORM_FILE, MOTION_FILE, MATERIAL_FILE)
+ instrument = sensor.instrument
+ ifov = instrument.x_spacing / instrument.focal_length
+ altitude = sensor.position[2] - scene.ground_z
+ print(
+ f"sensor: {instrument.x_count}x{instrument.y_count} elements, "
+ f"{1000 * instrument.x_spacing:.1f} um pitch, f = {instrument.focal_length:.1f} mm, "
+ f"bandpass {instrument.bandpass[0]:.3f}-{instrument.bandpass[1]:.3f} um\n"
+ f" IFOV {1e6 * ifov:.1f} urad, GSD {100 * ifov * altitude:.2f} cm at "
+ f"{altitude:.0f} m, materials "
+ + ", ".join(m.name[:24] for m in sensor.materials)
+ )
+
+ serve(scene, sensor)
+
+
+if __name__ == "__main__":
+ main()
diff --git a/modsim_toolbox/examples/car/pyproject.toml b/modsim_toolbox/examples/car/pyproject.toml
new file mode 100644
index 0000000..6e1ae36
--- /dev/null
+++ b/modsim_toolbox/examples/car/pyproject.toml
@@ -0,0 +1,29 @@
+[project]
+name = "car-example"
+version = "0.1.0"
+description = "Vehicle glint scene example for the modsim toolbox"
+requires-python = ">=3.12"
+dependencies = [
+ "modsim-toolbox",
+ "numpy",
+ "pandas",
+ "pvlib>=0.11",
+]
+
+# `tool.uv.sources` is not inherited from a path dependency, so the index
+# routing that modsim-toolbox declares has to be repeated here. Keep the two
+# files in sync: fvdb-core wheels are built against one exact torch minor.
+[tool.uv.sources]
+modsim-toolbox = { path = "../..", editable = true }
+torch = { index = "pytorch-cu130" }
+fvdb-core = { index = "fvdb-release" }
+
+[[tool.uv.index]]
+name = "pytorch-cu130"
+url = "https://download.pytorch.org/whl/cu130"
+explicit = true
+
+[[tool.uv.index]]
+name = "fvdb-release"
+url = "https://d36m13axqqhiit.cloudfront.net/simple"
+explicit = true
diff --git a/modsim_toolbox/examples/car/radiometry.py b/modsim_toolbox/examples/car/radiometry.py
new file mode 100644
index 0000000..1de77a2
--- /dev/null
+++ b/modsim_toolbox/examples/car/radiometry.py
@@ -0,0 +1,329 @@
+"""The optical physics this example simulates.
+
+Sunlight reaching the ground, how a surface scatters it, and how a spectral
+curve is resampled and integrated against a channel. None of this belongs to
+the toolbox, which is deliberately modality-free; it is what makes *this*
+example a reflective-band optical simulation rather than some other kind.
+"""
+
+import math
+
+import torch
+
+# Solar constant, band-integrated irradiance at the top of the atmosphere, W/m^2.
+SOLAR_CONSTANT = 1361.0
+# Effective blackbody temperature of the sun's photosphere, in kelvin.
+SOLAR_TEMPERATURE = 5778.0
+# Angstrom turbidity parameters for the aerosol optical depth.
+AEROSOL_BETA = 0.05
+AEROSOL_ALPHA = 1.3
+
+
+def sun_direction(azimuth: float, elevation: float) -> torch.Tensor:
+ """Unit vector pointing at the sun, in scene ENU coordinates.
+
+ Args:
+ azimuth: Solar azimuth in degrees, clockwise from north.
+ elevation: Solar elevation in degrees above the horizon.
+
+ Returns:
+ Unit direction from the scene toward the sun, shape: (3,).
+ """
+ az = math.radians(azimuth)
+ el = math.radians(elevation)
+ return torch.tensor(
+ [
+ math.sin(az) * math.cos(el),
+ math.cos(az) * math.cos(el),
+ math.sin(el),
+ ],
+ dtype=torch.float32,
+ )
+
+
+def solar_spectrum(
+ wavelength: torch.Tensor, elevation: float
+) -> tuple[torch.Tensor, torch.Tensor]:
+ """Direct and diffuse solar spectral irradiance at the ground.
+
+ The extraterrestrial spectrum is a 5778 K blackbody normalized to the solar
+ constant. It is attenuated by Rayleigh scattering and an Angstrom aerosol
+ term along the Kasten-Young air mass path; the diffuse sky term takes half
+ of what Rayleigh scattering removes, the standard first-order approximation
+ that also gives the sky its blue.
+
+ Args:
+ wavelength: Wavelengths to evaluate, in microns, shape: (W,). W: number
+ of wavelengths.
+ elevation: Solar elevation in degrees above the horizon.
+
+ Returns:
+ A pair of spectral irradiances in ``W / (m^2 um)``: the direct beam
+ measured normal to itself, shape: (W,), and the diffuse sky irradiance
+ on a horizontal surface, shape: (W,).
+ """
+ if elevation <= 0.0:
+ return torch.zeros_like(wavelength), torch.zeros_like(wavelength)
+
+ micron = wavelength * 1e-6
+ radiance = 1.0 / (
+ micron**5 * (torch.exp(0.01438777 / (micron * SOLAR_TEMPERATURE)) - 1.0)
+ )
+
+ # Normalize the full Planck integral to the solar constant.
+ full = torch.linspace(0.15, 5.0, 4000, device=wavelength.device) * 1e-6
+ total = torch.trapezoid(
+ 1.0 / (full**5 * (torch.exp(0.01438777 / (full * SOLAR_TEMPERATURE)) - 1.0)),
+ full * 1e6,
+ )
+ top_of_atmosphere = SOLAR_CONSTANT * radiance / total
+
+ # Kasten-Young (1989) relative air mass.
+ sine = math.sin(math.radians(elevation))
+ air_mass: float = 1.0 / (sine + 0.50572 * (elevation + 6.07995) ** (-1.6364))
+
+ rayleigh = torch.exp(-air_mass * 0.008735 * wavelength**-4.08)
+ aerosol = torch.exp(-air_mass * AEROSOL_BETA * wavelength**-AEROSOL_ALPHA)
+
+ direct = top_of_atmosphere * rayleigh * aerosol
+ diffuse = 0.5 * top_of_atmosphere * sine * (1.0 - rayleigh) * aerosol
+ return direct, diffuse
+
+
+def beard_maxwell(
+ cos_incident: torch.Tensor,
+ cos_reflected: torch.Tensor,
+ cos_half: torch.Tensor,
+ cos_bistatic: torch.Tensor,
+ n: float,
+ k: float,
+ bias: float,
+ sigma: float,
+ tau: float,
+ omega: float,
+ rho_d: float,
+ rho_v: float,
+ specular_scale: float = 1.0,
+) -> torch.Tensor:
+ """Evaluate the NEF Beard-Maxwell BRDF.
+
+ Implements the Westlund-Meyer (Graphics Interface 2002) equation 10:
+
+ rho = R(beta)/R(0) * rho_fs(theta_h) * cos^2(theta_h)
+ / (cos(theta_i) cos(theta_r)) * SO
+ + rho_d + 2 rho_v / (cos(theta_i) + cos(theta_r))
+
+ where ``rho_fs`` is a Gaussian in half-vector tilt and SO is a
+ shadowing/obscuration factor.
+
+ Args:
+ cos_incident: Cosine between the surface normal and the direction to
+ the source, shape: (N,). N: number of samples.
+ cos_reflected: Cosine between the surface normal and the direction to
+ the sensor, shape: (N,).
+ cos_half: Cosine between the surface normal and the half vector
+ (microfacet tilt), shape: (N,).
+ cos_bistatic: Cosine between the incident direction and the half
+ vector (angle of incidence onto the microfacet), shape: (N,).
+ n: Real part of the complex index of refraction.
+ k: Imaginary part (extinction coefficient) of the index.
+ bias: Amplitude of the Gaussian microfacet orientation distribution.
+ sigma: Width of that Gaussian, in radians of half-vector tilt.
+ tau: Shadowing decay constant, in degrees of bistatic angle.
+ omega: Obscuration constant, in degrees of half-vector tilt.
+ rho_d: Lambertian volumetric reflectance.
+ rho_v: Directional-diffuse volumetric reflectance.
+ specular_scale: Multiplier on the first-surface term, used to match
+ the material's declared DHR.
+
+ Returns:
+ BRDF value in inverse steradians, shape: (N,).
+ """
+ theta_half = torch.arccos(cos_half.clamp(-1.0, 1.0))
+ beta = torch.arccos(cos_bistatic.clamp(-1.0, 1.0))
+
+ orientation = bias * torch.exp(-((theta_half / sigma) ** 2))
+
+ tilt = torch.rad2deg(theta_half) / omega
+ shadow = (1.0 + tilt * torch.exp(-2.0 * torch.rad2deg(beta) / tau)) / (1.0 + tilt)
+
+ fresnel_ratio = fresnel(cos_bistatic, n, k) / fresnel(
+ torch.ones_like(cos_bistatic), n, k
+ )
+ denominator = (cos_incident * cos_reflected).clamp(min=1e-4)
+ first_surface = (
+ specular_scale
+ * fresnel_ratio
+ * orientation
+ * cos_half.clamp(min=0.0) ** 2
+ / denominator
+ * shadow
+ )
+
+ volumetric = rho_d + 2.0 * rho_v / (cos_incident + cos_reflected).clamp(min=1e-4)
+ return first_surface + volumetric
+
+
+def fresnel(cos_angle: torch.Tensor, n: float, k: float) -> torch.Tensor:
+ """Unpolarized Fresnel reflectance of a surface with complex index n - ik.
+
+ Averages the two polarization states, which is what an unpolarized source
+ and a sensor with ```` between them see.
+
+ Args:
+ cos_angle: Cosine of the angle of incidence onto the microfacet,
+ shape: (N,). N: number of samples.
+ n: Real part of the index of refraction.
+ k: Extinction coefficient.
+
+ Returns:
+ Reflectance in ``[0, 1]``, shape: (N,).
+ """
+ # Floored away from zero: the parallel branch below divides by cos^2, which
+ # at exactly grazing incidence would produce inf / inf.
+ cos_sq = cos_angle.clamp(0.0, 1.0) ** 2 + 1e-12
+ sin_sq = (1.0 - cos_sq).clamp(min=0.0)
+
+ # Solve for the real and imaginary parts of the transmitted cosine.
+ common = n * n - k * k - sin_sq
+ radical = torch.sqrt((common**2 + (2.0 * n * k) ** 2).clamp(min=0.0))
+ a_sq = (0.5 * (radical + common)).clamp(min=0.0)
+ b_sq = (0.5 * (radical - common)).clamp(min=0.0)
+ a = torch.sqrt(a_sq)
+ cos = torch.sqrt(cos_sq)
+
+ perpendicular = (a_sq + b_sq - 2.0 * a * cos + cos_sq) / (
+ a_sq + b_sq + 2.0 * a * cos + cos_sq
+ )
+ parallel = perpendicular * (
+ (a_sq + b_sq - 2.0 * a * cos * torch.sqrt(sin_sq) + sin_sq * sin_sq / cos_sq)
+ / (a_sq + b_sq + 2.0 * a * cos * torch.sqrt(sin_sq) + sin_sq * sin_sq / cos_sq)
+ )
+ return (0.5 * (perpendicular + parallel)).clamp(0.0, 1.0)
+
+
+# Zenith and azimuth samples used to integrate a BRDF over the hemisphere when
+# solving for the DHR normalization. The specular lobes here are a few degrees
+# wide, so the zenith grid has to be fine to resolve them.
+DEVICE = "cuda"
+DHR_ZENITH_SAMPLES = 2048
+DHR_AZIMUTH_SAMPLES = 256
+
+
+def dhr_specular_scale(
+ dhr: float,
+ n: float,
+ k: float,
+ bias: float,
+ sigma: float,
+ tau: float,
+ omega: float,
+ rho_d: float = 0.0,
+ rho_v: float = 0.0,
+) -> float:
+ """Solve for the first-surface scale that reproduces a material's DHR.
+
+ A fit file declares a directional hemispherical reflectance but not how the
+ orientation Gaussian is normalized, so the lobe's absolute height is
+ undetermined. Integrating the unscaled first-surface term over the reflected
+ hemisphere at normal incidence and dividing the declared DHR by the result
+ recovers it, which is what NEF equation 11 does spectrally.
+
+ The integral is taken at normal incidence, where the lobe sits around the
+ normal and the quadrature resolves it.
+
+ Args:
+ dhr: Declared directional hemispherical reflectance of the first-surface
+ term.
+ n: Real part of the complex index of refraction.
+ k: Imaginary part (extinction coefficient) of the index.
+ bias: Amplitude of the Gaussian microfacet orientation distribution.
+ sigma: Width of that Gaussian, in radians of half-vector tilt.
+ tau: Shadowing decay constant, in degrees of bistatic angle.
+ omega: Obscuration constant, in degrees of half-vector tilt.
+ rho_d: Ignored. The DHR quantifies the first-surface lobe alone, so the
+ volumetric terms are held at zero for the integral; accepted only so
+ a material's full parameter set can be splatted in.
+ rho_v: Ignored, as ``rho_d``.
+
+ Returns:
+ Multiplier for the first-surface term of :func:`beard_maxwell`.
+ """
+ del rho_d, rho_v
+
+ zenith = (
+ torch.arange(DHR_ZENITH_SAMPLES, device=DEVICE, dtype=torch.float64) + 0.5
+ ) * (0.5 * math.pi / DHR_ZENITH_SAMPLES)
+ azimuth = (
+ torch.arange(DHR_AZIMUTH_SAMPLES, device=DEVICE, dtype=torch.float64) + 0.5
+ ) * (2.0 * math.pi / DHR_AZIMUTH_SAMPLES)
+ grid_zenith, grid_azimuth = torch.meshgrid(zenith, azimuth, indexing="ij")
+
+ # Normal incidence: the source is straight up, so theta_i = 0.
+ incident = torch.tensor([0.0, 0.0, 1.0], device=DEVICE, dtype=torch.float64)
+ reflected = torch.stack(
+ [
+ torch.sin(grid_zenith) * torch.cos(grid_azimuth),
+ torch.sin(grid_zenith) * torch.sin(grid_azimuth),
+ torch.cos(grid_zenith),
+ ],
+ dim=-1,
+ ).reshape(-1, 3)
+ half = torch.nn.functional.normalize(reflected + incident, dim=-1)
+
+ unscaled = beard_maxwell(
+ cos_incident=torch.ones(len(reflected), device=DEVICE, dtype=torch.float64),
+ cos_reflected=reflected[:, 2],
+ cos_half=half[:, 2],
+ cos_bistatic=(half * incident).sum(-1),
+ n=n,
+ k=k,
+ bias=bias,
+ sigma=sigma,
+ tau=tau,
+ omega=omega,
+ rho_d=0.0,
+ rho_v=0.0,
+ )
+
+ # Integrate f * cos(theta_r) over the hemisphere.
+ solid_angle = (
+ torch.sin(grid_zenith).reshape(-1)
+ * (0.5 * math.pi / DHR_ZENITH_SAMPLES)
+ * (2.0 * math.pi / DHR_AZIMUTH_SAMPLES)
+ )
+ return dhr / float((unscaled * reflected[:, 2] * solid_angle).sum())
+
+
+def resample(x: torch.Tensor, y: torch.Tensor, at: torch.Tensor) -> torch.Tensor:
+ """Linearly resample a tabulated curve, holding its end values beyond it.
+
+ Args:
+ x: Sample positions of the curve, ascending, shape: (S,). S: number of
+ tabulated samples.
+ y: Curve value at each, shape: (S,).
+ at: Positions to evaluate at, shape: (W,). W: number of query points.
+
+ Returns:
+ Curve value at each query position, shape: (W,).
+ """
+ i = torch.searchsorted(x.contiguous(), at.contiguous()).clamp(1, len(x) - 1)
+ t = ((at - x[i - 1]) / (x[i] - x[i - 1])).clamp(0.0, 1.0)
+ return y[i - 1] + t * (y[i] - y[i - 1])
+
+
+def band_weights(wavelength: torch.Tensor, response: torch.Tensor) -> torch.Tensor:
+ """Trapezoidal quadrature weights for integrating a spectrum over a channel.
+
+ Args:
+ wavelength: Wavelengths of the spectral samples, ascending, in microns,
+ shape: (W,). W: number of spectral samples.
+ response: Channel response at each wavelength, shape: (W,).
+
+ Returns:
+ Weight per sample, so that ``(spectrum * weights).sum(-1)`` is the
+ band-integrated quantity, shape: (W,).
+ """
+ delta = torch.diff(wavelength)
+ width = torch.cat([delta[:1], (wavelength[2:] - wavelength[:-2]) / 2, delta[-1:]])
+ return response * width
diff --git a/modsim_toolbox/examples/car/uv.lock b/modsim_toolbox/examples/car/uv.lock
new file mode 100644
index 0000000..9d0e936
--- /dev/null
+++ b/modsim_toolbox/examples/car/uv.lock
@@ -0,0 +1,1150 @@
+version = 1
+revision = 3
+requires-python = ">=3.12"
+resolution-markers = [
+ "python_full_version >= '3.14' and sys_platform == 'win32'",
+ "python_full_version >= '3.14' and sys_platform == 'emscripten'",
+ "python_full_version >= '3.14' and sys_platform != 'emscripten' and sys_platform != 'win32'",
+ "python_full_version < '3.14' and sys_platform == 'win32'",
+ "python_full_version < '3.14' and sys_platform == 'emscripten'",
+ "python_full_version < '3.14' and sys_platform != 'emscripten' and sys_platform != 'win32'",
+]
+
+[[package]]
+name = "car-example"
+version = "0.1.0"
+source = { virtual = "." }
+dependencies = [
+ { name = "modsim-toolbox" },
+ { name = "numpy" },
+ { name = "pandas" },
+ { name = "pvlib" },
+]
+
+[package.metadata]
+requires-dist = [
+ { name = "modsim-toolbox", editable = "../../" },
+ { name = "numpy" },
+ { name = "pandas" },
+ { name = "pvlib", specifier = ">=0.11" },
+]
+
+[[package]]
+name = "certifi"
+version = "2026.7.22"
+source = { registry = "https://pypi.org/simple" }
+sdist = { url = "https://files.pythonhosted.org/packages/a3/c2/24167ea9858356b47a87a50d39908bfdb72ceeefe0041586e704e5376b3a/certifi-2026.7.22.tar.gz", hash = "sha256:741e2c3b351ddf169a738da9f2c048608ff7f2c5cc02f1ebc6b118bb090d5d55", size = 138112, upload-time = "2026-07-22T03:35:12.644Z" }
+wheels = [
+ { url = "https://files.pythonhosted.org/packages/0b/a7/71ac2cff56fec219ed242bb11b8efb69fcc4bec75db06fb7bfe35de520e6/certifi-2026.7.22-py3-none-any.whl", hash = "sha256:62f22742b58a1a33014a2b6b706588a8d7e2a88ae7bd1a6ebe8c992928483775", size = 136983, upload-time = "2026-07-22T03:35:11.276Z" },
+]
+
+[[package]]
+name = "charset-normalizer"
+version = "3.4.9"
+source = { registry = "https://pypi.org/simple" }
+sdist = { url = "https://files.pythonhosted.org/packages/bd/2a/23f34ec9d04624958e137efdc394888716353190e75f25dd22c7a2c7a8aa/charset_normalizer-3.4.9.tar.gz", hash = "sha256:673611bbd43f0810bec0b0f028ddeaaa501190339cac411f347ac76917c3ae7b", size = 152439, upload-time = "2026-07-07T14:34:58.454Z" }
+wheels = [
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diff --git a/modsim_toolbox/pyproject.toml b/modsim_toolbox/pyproject.toml
new file mode 100644
index 0000000..ba89d02
--- /dev/null
+++ b/modsim_toolbox/pyproject.toml
@@ -0,0 +1,50 @@
+[project]
+name = "modsim-toolbox"
+version = "0.1.0"
+description = "Accelerated and differentiable sensor simulation"
+readme = "README.md"
+authors = [
+ { name = "Gabriel Casselman", email = "gcasselman@nvidia.com" }
+]
+requires-python = ">=3.12"
+dependencies = [
+ # fvdb-core wheels are built against one exact torch minor (encoded in the
+ # "+ptXYZ.cuNNN" local version), so torch must be pinned to match. Bumping
+ # fvdb-core means bumping torch in lockstep:
+ # fvdb-core 0.4.x -> torch 2.10 fvdb-core 0.5.x -> torch 2.11
+ "torch==2.10.*",
+ "fvdb-core==0.4.2",
+ "numpy",
+ "viser>=1.0",
+]
+
+[tool.uv.sources]
+torch = { index = "pytorch-cu130"}
+fvdb-core = { index = "fvdb-release"}
+
+[[tool.uv.index]]
+name = "pytorch-cu130"
+url = "https://download.pytorch.org/whl/cu130"
+explicit = true
+
+[[tool.uv.index]]
+name = "fvdb-release"
+url = "https://d36m13axqqhiit.cloudfront.net/simple"
+explicit = true
+
+
+[build-system]
+requires = ["uv_build>=0.11.17,<0.12.0"]
+build-backend = "uv_build"
+
+[tool.ruff]
+line-length = 88
+
+[tool.ruff.lint.isort]
+# The car example imports its own modules by bare name, as a flat script does.
+known-local-folder = ["loader", "radiometry"]
+
+[tool.basedpyright]
+typeCheckingMode = "standard"
+venvPath = "."
+venv = ".venv"
diff --git a/modsim_toolbox/src/modsim_toolbox/__init__.py b/modsim_toolbox/src/modsim_toolbox/__init__.py
new file mode 100644
index 0000000..83237b0
--- /dev/null
+++ b/modsim_toolbox/src/modsim_toolbox/__init__.py
@@ -0,0 +1,22 @@
+"""Reusable components for simulating imaging systems on voxelized scenes.
+
+The toolbox generalizes over three things and nothing else: **geometry**,
+**voxels**, and **ray tracing**, with a viewer for looking at the result. It
+holds no physics -- no spectra, no materials, no units of radiance -- and reads
+no files: every function takes tensors and returns tensors, so what a modality
+means is decided entirely by its caller. See ``examples/car`` for one worked
+modality end to end.
+
+Import the modules, not their contents, so that every call site says which of
+the four concepts it is reaching for::
+
+ from modsim_toolbox import geometry, trace, visualization, voxelize
+
+ topology, normals = voxelize.voxelize_mesh(vertices, faces, normals, size)
+ origins, directions = trace.rays_from_pinhole(...)
+ hit = trace.first_hit(topology, normals, origins, directions)
+"""
+
+from modsim_toolbox import geometry, trace, visualization, voxelize
+
+__all__ = ["geometry", "trace", "visualization", "voxelize"]
diff --git a/modsim_toolbox/src/modsim_toolbox/geometry.py b/modsim_toolbox/src/modsim_toolbox/geometry.py
new file mode 100644
index 0000000..6f3e942
--- /dev/null
+++ b/modsim_toolbox/src/modsim_toolbox/geometry.py
@@ -0,0 +1,26 @@
+"""Pure geometric utilities: rotations."""
+
+from __future__ import annotations
+
+import torch
+
+
+def euler_to_mat(angles: torch.Tensor) -> torch.Tensor:
+ """Build a 3×3 rotation matrix from Euler xyz angles.
+
+ The x rotation is applied first, then y, then z:
+ ``R = Rz @ Ry @ Rx``.
+
+ Args:
+ angles: Rotations about x, y and z axes in radians, shape: (3,).
+
+ Returns:
+ Rotation matrix, shape: (3, 3).
+ """
+ cx, cy, cz = torch.cos(angles).unbind()
+ sx, sy, sz = torch.sin(angles).unbind()
+ z, o = torch.zeros_like(cx), torch.ones_like(cx)
+ rx = torch.stack([o, z, z, z, cx, -sx, z, sx, cx]).reshape(3, 3)
+ ry = torch.stack([cy, z, sy, z, o, z, -sy, z, cy]).reshape(3, 3)
+ rz = torch.stack([cz, -sz, z, sz, cz, z, z, z, o]).reshape(3, 3)
+ return rz @ ry @ rx
diff --git a/modsim_toolbox/src/modsim_toolbox/py.typed b/modsim_toolbox/src/modsim_toolbox/py.typed
new file mode 100644
index 0000000..e69de29
diff --git a/modsim_toolbox/src/modsim_toolbox/trace.py b/modsim_toolbox/src/modsim_toolbox/trace.py
new file mode 100644
index 0000000..ef46b18
--- /dev/null
+++ b/modsim_toolbox/src/modsim_toolbox/trace.py
@@ -0,0 +1,250 @@
+"""Purely geometric ray tracing against a voxelized scene.
+
+Nothing here knows about spectra, materials, or units of radiance. A trace
+answers two questions: what surface a ray met, and which point sources that
+surface can see. Turning those answers into radiance is the caller's job.
+
+The scene topology is an :class:`fvdb.GridBatch`, one grid per group of the
+source geometry, each free to carry its own voxel size. A ray is traced against
+every grid and the nearest hit wins, so the batch is a single scene rather than
+a batch of independent scenes.
+"""
+
+from __future__ import annotations
+
+from typing import NamedTuple
+
+import fvdb
+import torch
+
+# Secondary rays start this many voxels off the surface so they do not
+# immediately re-hit the voxel they were spawned from.
+SURFACE_OFFSET_VOXELS = 1.5
+
+
+class Hit(NamedTuple):
+ """Where a bundle of rays first met the scene.
+
+ Attributes:
+ distance: Distance along each ray to the surface, in world units,
+ infinite where the ray escaped, shape: (N,). N: number of rays.
+ point: World-space intersection point, equal to the ray origin where
+ the ray escaped, shape: (N, 3).
+ normal: Unit surface normal at the intersection, zero where the ray
+ escaped, shape: (N, 3).
+ voxel: Index of the surface voxel into the batch's concatenated voxel
+ ordering, the ordering every per-voxel attribute uses, so any of
+ them can be looked up with it. Zero where the ray escaped,
+ shape: (N,).
+ hit: True where the ray met the scene, shape: (N,), dtype bool.
+ """
+
+ distance: torch.Tensor
+ point: torch.Tensor
+ normal: torch.Tensor
+ voxel: torch.Tensor
+ hit: torch.Tensor
+
+
+def rays_from_pinhole(
+ focal_length: float,
+ x_count: int,
+ y_count: int,
+ x_spacing: float,
+ y_spacing: float,
+ origin: torch.Tensor,
+ rotation: torch.Tensor,
+) -> tuple[torch.Tensor, torch.Tensor]:
+ """Generate scene-space rays for every pixel of a pinhole camera.
+
+ The boresight points along the camera's ``-z`` axis. A pixel at column
+ ``i`` and row ``j`` maps to focal-plane position
+ ``((i - 0.5*(x_count-1))*x_spacing, (j - 0.5*(y_count-1))*y_spacing)``,
+ giving unnormalized direction ``(x, y, -focal_length)`` before the rotation
+ is applied. Rays come back row-major, so a per-ray result reshapes straight
+ to an image of shape ``(y_count, x_count)``.
+
+ Args:
+ focal_length: Distance from the entrance pupil to the focal plane, in
+ the same units as ``x_spacing`` and ``y_spacing``.
+ x_count: Number of pixels along the camera's x axis.
+ y_count: Number of pixels along its y axis.
+ x_spacing: Center-to-center pixel pitch along x, in focal-plane units.
+ Pass a negative value to flip the x axis.
+ y_spacing: Center-to-center pixel pitch along y, in focal-plane units.
+ Pass a negative value to flip the y axis.
+ origin: Camera position in world coordinates, shape: (3,).
+ rotation: Rotation matrix taking camera-frame directions into the world
+ frame, shape: (3, 3).
+
+ Returns:
+ A pair of:
+
+ - Ray origins in world coordinates, one per pixel, shape: (N, 3).
+ N: number of pixels, ``x_count * y_count``.
+ - Unit ray directions in world coordinates, shape: (N, 3).
+ """
+ device = origin.device
+ dtype = origin.dtype
+ y_index, x_index = torch.meshgrid(
+ torch.arange(y_count, device=device, dtype=dtype),
+ torch.arange(x_count, device=device, dtype=dtype),
+ indexing="ij",
+ )
+ x_plane = (x_index - 0.5 * (x_count - 1)) * x_spacing
+ y_plane = (y_index - 0.5 * (y_count - 1)) * y_spacing
+ directions = torch.nn.functional.normalize(
+ torch.stack(
+ [x_plane, y_plane, torch.full_like(x_plane, -focal_length)], dim=-1
+ ).reshape(-1, 3),
+ dim=-1,
+ )
+ directions = directions @ rotation.to(device=device, dtype=dtype).T
+ return origin.unsqueeze(0).expand(len(directions), -1), directions
+
+
+def _march(
+ topology: fvdb.GridBatch,
+ origins: torch.Tensor,
+ directions: torch.Tensor,
+) -> tuple[torch.Tensor, torch.Tensor]:
+ """March one ray bundle against every grid in the batch, in a single call.
+
+ :meth:`fvdb.GridBatch.voxels_along_rays` pairs the g-th ray set with the
+ g-th grid, so the bundle is broadcast across the batch by handing it the
+ same rays G times: one DDA launch covers the whole scene rather than one
+ launch per grid. Results come back jagged over G * N rays in grid-major
+ order, which reshapes straight to (G, N).
+
+ Args:
+ topology: Scene topology, one grid per geometry group. G: number of
+ grids.
+ origins: Ray origins in world units, shape: (N, 3). N: number of rays.
+ directions: Unit ray directions, shape: (N, 3).
+
+ Returns:
+ A 2-tuple of:
+
+ - Distance along each ray to where it entered each grid, infinite where
+ the ray missed that grid, shape: (G, N).
+ - Index of the entered voxel into the batch's concatenated voxel
+ ordering, zero where the ray missed, shape: (G, N).
+ """
+ N = len(origins)
+ G = topology.grid_count
+ device = origins.device
+
+ offsets = torch.arange(G + 1, device=device) * N
+ rays = fvdb.JaggedTensor.from_data_and_offsets(
+ origins.expand(G, N, 3).reshape(G * N, 3), offsets
+ )
+ steps = fvdb.JaggedTensor.from_data_and_offsets(
+ directions.expand(G, N, 3).reshape(G * N, 3), offsets
+ )
+ # cumulative=True numbers voxels across the whole batch, so the returned
+ # indices address a per-voxel JaggedTensor's jdata directly.
+ voxels, times = topology.voxels_along_rays(
+ rays, steps, max_voxels=1, return_ijk=False, cumulative=True
+ )
+
+ # Each ray contributes zero or one entry, in ray order, so the jagged
+ # results scatter straight back into dense per-ray arrays.
+ found = (voxels.joffsets[1:] - voxels.joffsets[:-1]) > 0
+ entry = torch.full((G * N,), float("inf"), device=device)
+ entry[found] = times.jdata[:, 0]
+ index = torch.zeros(G * N, dtype=torch.long, device=device)
+ index[found] = voxels.jdata.long()
+ return entry.reshape(G, N), index.reshape(G, N)
+
+
+def first_hit(
+ topology: fvdb.GridBatch,
+ normals: fvdb.JaggedTensor,
+ origins: torch.Tensor,
+ directions: torch.Tensor,
+) -> Hit:
+ """March a ray bundle through every grid and keep the nearest surface.
+
+ Args:
+ topology: Scene topology, one grid per geometry group.
+ normals: Unit surface normal per voxel, ordered to match each grid's own
+ voxel ordering, jagged shape: (G, M_g, 3). G: number of grids;
+ M_g: voxels in grid g.
+ origins: Ray origins in world units, shape: (N, 3). N: number of rays.
+ directions: Unit ray directions, shape: (N, 3).
+
+ Returns:
+ The nearest surface each ray met, as a :class:`Hit`.
+ """
+ entry, voxel = _march(topology, origins, directions)
+
+ nearest = entry.argmin(0)
+ rays = torch.arange(len(origins), device=origins.device)
+ distance = entry[nearest, rays]
+ index = voxel[nearest, rays]
+ hit = torch.isfinite(distance)
+ normal = torch.where(hit[:, None], normals.jdata[index], 0.0)
+ point = origins + torch.where(hit, distance, 0.0)[:, None] * directions
+ return Hit(distance=distance, point=point, normal=normal, voxel=index, hit=hit)
+
+
+def visible(
+ topology: fvdb.GridBatch,
+ origins: torch.Tensor,
+ directions: torch.Tensor,
+ limit: torch.Tensor,
+) -> torch.Tensor:
+ """Test whether each ray reaches its endpoint without meeting the scene.
+
+ Args:
+ topology: Scene topology, one grid per geometry group.
+ origins: Ray origins in world units, shape: (N, 3). N: number of rays.
+ directions: Unit ray directions, shape: (N, 3).
+ limit: Distance along each ray to its endpoint, in world units. Surfaces
+ beyond it do not block, shape: (N,).
+
+ Returns:
+ True where nothing stands between the origin and the endpoint,
+ shape: (N,), dtype bool.
+ """
+ entry, _ = _march(topology, origins, directions)
+ return ~(entry < limit[None, :]).any(0)
+
+
+def shadowed(
+ topology: fvdb.GridBatch,
+ points: torch.Tensor,
+ normals: torch.Tensor,
+ directions: torch.Tensor,
+ limit: torch.Tensor | None = None,
+ offset_voxels: float = SURFACE_OFFSET_VOXELS,
+) -> torch.Tensor:
+ """Test whether scene geometry stands between each surface point and a source.
+
+ A shadow ray is spawned from each point toward the source and lifted off the
+ surface along the normal, so that it does not immediately re-hit the voxel it
+ came from. That lift is the whole reason this exists rather than a bare
+ :func:`visible` call.
+
+ Args:
+ topology: Scene topology, one grid per geometry group.
+ points: World-space surface points, shape: (N, 3). N: number of points.
+ normals: Unit surface normal at each point, along which the shadow ray
+ is lifted, shape: (N, 3).
+ directions: Unit direction from each point toward the source, shape:
+ (N, 3). A single direction of shape (3,) broadcasts to every point,
+ which is what a source at infinity looks like.
+ limit: Distance from each point to the source, in world units, so that
+ geometry behind the source does not shadow it, shape: (N,). Pass
+ ``None`` for a source at infinity, where nothing is behind it.
+ offset_voxels: How far to lift the shadow ray off the surface, in
+ multiples of the largest voxel edge length in the batch.
+
+ Returns:
+ True where the source is occluded, shape: (N,), dtype bool.
+ """
+ offset = offset_voxels * float(topology.voxel_sizes.max())
+ directions = directions.expand_as(points)
+ if limit is None:
+ limit = torch.full((len(points),), float("inf"), device=points.device)
+ return ~visible(topology, points + offset * normals, directions, limit - offset)
diff --git a/modsim_toolbox/src/modsim_toolbox/visualization.py b/modsim_toolbox/src/modsim_toolbox/visualization.py
new file mode 100644
index 0000000..034149f
--- /dev/null
+++ b/modsim_toolbox/src/modsim_toolbox/visualization.py
@@ -0,0 +1,113 @@
+"""3D visualization utilities built on top of viser.
+
+Wraps a :class:`viser.ViserServer` with helpers for displaying fVDB
+:class:`~fvdb.GridBatch` objects, colored by arbitrary per-voxel tensors through
+a pluggable color mapping function.
+"""
+
+from __future__ import annotations
+
+from collections.abc import Callable
+
+import fvdb
+import numpy as np
+import torch
+import viser # pyright: ignore[reportMissingImports]
+
+from modsim_toolbox import voxelize
+
+# A color function maps a per-voxel tensor of shape (N, ...) to an (N, 3)
+# uint8 RGB array. The exact inner shape depends on the colormap.
+ColorFn = Callable[[torch.Tensor], np.ndarray]
+
+
+def normal_colormap() -> ColorFn:
+ """Return a color function that encodes unit normals as RGB.
+
+ Each axis is linearly mapped from ``[-1, 1]`` to ``[0, 255]``, so +x reads
+ red, +y green, and +z blue. Opposing faces of a thin panel appear as
+ complementary colors, which makes a mis-attributed normal easy to spot.
+
+ Returns:
+ A function that accepts normals of shape ``(N, 3)`` and returns
+ ``uint8`` colors of shape ``(N, 3)``.
+ """
+
+ def _fn(normals: torch.Tensor) -> np.ndarray:
+ return (127.5 * (normals + 1.0)).clamp(0, 255).to(torch.uint8).cpu().numpy()
+
+ return _fn
+
+
+class Visualizer:
+ """A viser-backed 3D visualizer with fVDB grid helpers.
+
+ Wraps :class:`viser.ViserServer` so that callers can display
+ :class:`~fvdb.GridBatch` objects without touching the viser API directly.
+ The server is started on construction and stays running until the process
+ exits.
+
+ Args:
+ host: Network interface to bind the HTTP server to.
+ port: TCP port for the viser web interface.
+ """
+
+ def __init__(self, host: str = "0.0.0.0", port: int = 8080) -> None:
+ self._server = viser.ViserServer(host=host, port=port)
+ self._server.scene.set_up_direction("+z")
+
+ @property
+ def server(self) -> viser.ViserServer:
+ """The underlying viser server, for callers that need direct access."""
+ return self._server
+
+ def add_grid_batch(
+ self,
+ path: str,
+ grids: fvdb.GridBatch,
+ values: fvdb.JaggedTensor,
+ color_fn: ColorFn,
+ point_size: float | torch.Tensor = 0.05,
+ point_shape: str = "rounded",
+ names: list[str] | None = None,
+ ) -> None:
+ """Display every grid in a :class:`~fvdb.GridBatch` as a colored point cloud.
+
+ One viser point cloud is created per grid, placed under ``path/``
+ (or ``path/`` when ``names`` is not supplied). Each voxel's world
+ position is computed from the grid's IJK coordinates; its color comes
+ from applying ``color_fn`` to the matching row of ``values``.
+
+ Args:
+ path: Base scene path. Each grid is added as a child, e.g.
+ ``/voxels/body``.
+ grids: Voxelized scene, one grid per group.
+ values: Per-voxel attribute fed to ``color_fn``, jagged shape:
+ ``(G, N_g, ...)``. G: number of grids; N_g: voxels in grid g.
+ color_fn: Maps a per-voxel tensor of shape ``(N_g, ...)`` to
+ ``uint8`` colors of shape ``(N_g, 3)``.
+ point_size: Rendered radius of each point in world units. Either a
+ single float applied to every grid, or a 1-D tensor of shape
+ ``(G,)`` with one radius per grid.
+ point_shape: Viser point shape, e.g. ``"rounded"`` or ``"circle"``.
+ names: Labels for each grid, used as the last component of the
+ scene path. Defaults to the grid index as a string.
+ """
+ sizes: torch.Tensor | float
+ if isinstance(point_size, torch.Tensor):
+ sizes = point_size.float().cpu()
+ else:
+ sizes = point_size
+
+ centers = voxelize.voxel_centers(grids)
+ for g in range(grids.grid_count):
+ label = names[g] if names is not None else str(g)
+ colors = color_fn(values[g].jdata)
+ size = float(sizes[g]) if isinstance(sizes, torch.Tensor) else sizes
+ self._server.scene.add_point_cloud(
+ f"{path}/{label}",
+ points=centers[g].jdata.cpu().numpy(),
+ colors=colors,
+ point_size=size,
+ point_shape=point_shape,
+ )
diff --git a/modsim_toolbox/src/modsim_toolbox/voxelize.py b/modsim_toolbox/src/modsim_toolbox/voxelize.py
new file mode 100644
index 0000000..bc4a9b9
--- /dev/null
+++ b/modsim_toolbox/src/modsim_toolbox/voxelize.py
@@ -0,0 +1,219 @@
+"""Turning meshes into voxel grids, and carrying attributes onto the voxels.
+
+Every function here is jagged over the source geometry's groups: a group is the
+unit of authoring, so it is the unit of voxelization, and each group becomes one
+grid of an :class:`fvdb.GridBatch` free to carry its own voxel size.
+"""
+
+import math
+
+import fvdb
+import torch
+
+
+def voxelize_mesh(
+ vertices: fvdb.JaggedTensor,
+ faces: fvdb.JaggedTensor,
+ values: fvdb.JaggedTensor,
+ voxel_size: float | torch.Tensor,
+) -> tuple[fvdb.GridBatch, fvdb.JaggedTensor]:
+ """Voxelize a mesh and interpolate per-corner values onto the resulting voxels.
+
+ Every input is jagged over the mesh's groups, and each group becomes one
+ grid in the returned :class:`fvdb.GridBatch`. Values live on face corners,
+ three independent values per triangle, so an attribute may be discontinuous
+ across an edge. They are interpolated to voxel centers by replaying the
+ stratified barycentric lattice that :meth:`fvdb.GridBatch.from_mesh` uses
+ internally, so every voxel is reached exactly once with barycentric
+ coordinates intact. Each voxel takes the value from the sample nearest its
+ center.
+
+ Args:
+ vertices: Group-local world-space vertex positions, jagged shape:
+ (G, V_g, 3). G: number of groups; V_g: vertices in group g.
+ faces: Triangle corner indices into the group's own vertices, jagged
+ shape: (G, F_g, 3). F_g: triangles in group g.
+ values: Per-corner attribute values to interpolate, jagged shape:
+ (G, F_g, 3, D), aligned corner for corner with ``faces``.
+ D: attribute dimensionality.
+ voxel_size: Voxel edge length in world units. Either a scalar applied
+ to every group, or a 1-D tensor of shape (G,) for per-group sizing.
+
+ Returns:
+ A 2-tuple of:
+
+ - :class:`fvdb.GridBatch` with one grid per group built from the mesh
+ surface.
+ - :class:`fvdb.JaggedTensor` of interpolated values, jagged shape
+ (G, M_g, D). M_g: number of voxels in group g's grid.
+ """
+ G = vertices.num_tensors
+ device = vertices.device
+
+ if torch.is_tensor(voxel_size):
+ sizes = [[float(voxel_size[g])] * 3 for g in range(G)]
+ else:
+ sizes = [[float(voxel_size)] * 3] * G
+
+ batch = fvdb.GridBatch.from_mesh(vertices, faces, voxel_sizes=sizes)
+
+ # Sample spacing in voxel units, from fVDB's IjkForMesh.cu.
+ spacing = math.sqrt(3.0) / 3.0
+
+ voxel_values: list[torch.Tensor] = []
+ for g in range(G):
+ grid = fvdb.Grid.from_grid_batch(batch, g)
+ group_vertices = vertices[g].jdata # (V_g, 3)
+ group_faces = faces[g].jdata.long() # (F_g, 3)
+ group_values = values[g].jdata # (F_g, 3, D)
+
+ # Replay the stratified lattice fVDB used to decide which voxels exist,
+ # recovering barycentric coordinates for every sample.
+ corners = grid.world_to_voxel(group_vertices)[group_faces] # (F_g, 3, 3)
+ origin = corners[:, 0]
+ edge_u = corners[:, 1] - origin
+ edge_v = corners[:, 2] - origin
+ num_u = torch.ceil(
+ ((edge_u * edge_u).sum(-1).sqrt() + spacing) / spacing
+ ).long()
+ num_v = torch.ceil(
+ ((edge_v * edge_v).sum(-1).sqrt() + spacing) / spacing
+ ).long()
+
+ offsets = torch.cat(
+ [torch.zeros(1, dtype=torch.long, device=device), (num_u * num_v).cumsum(0)]
+ )
+ sample = torch.arange(int(offsets[-1]), device=device)
+ triangle = torch.searchsorted(offsets, sample, right=True) - 1
+ within = sample - offsets[triangle]
+ rows = num_v[triangle]
+ i = within // rows
+ j = within - i * rows
+
+ u = i.float() / torch.clamp(num_u[triangle] - 1, min=1).float()
+ v = j.float() / torch.clamp(rows - 1, min=1).float()
+ folded = (u + v) >= 1.0
+ u = torch.where(folded, 1.0 - u, u)
+ v = torch.where(folded, 1.0 - v, v)
+
+ voxel_space = (
+ origin[triangle]
+ + edge_u[triangle] * u[:, None]
+ + edge_v[triangle] * v[:, None]
+ )
+ index = grid.ijk_to_index(torch.floor(voxel_space + 0.5).int())
+ inside = index >= 0
+
+ barycentric = torch.stack([1.0 - u - v, u, v], dim=-1) # (S, 3)
+ interpolated = (barycentric[..., None] * group_values[triangle]).sum(
+ 1
+ ) # (S, D)
+
+ # Per voxel, keep the sample nearest the voxel center.
+ centers = grid.voxel_to_world(grid.ijk.float())
+ diff = grid.voxel_to_world(voxel_space[inside]) - centers[index[inside]]
+ distance = (diff * diff).sum(-1).sqrt()
+ nearest = torch.full((grid.num_voxels,), float("inf"), device=device)
+ _ = nearest.scatter_reduce_(
+ 0, index[inside], distance, reduce="amin", include_self=True
+ )
+
+ winner = torch.zeros(grid.num_voxels, dtype=torch.long, device=device)
+ candidates = torch.nonzero(inside).squeeze(1)
+ won = distance <= nearest[index[inside]] + 1e-9
+ _ = winner.scatter_(0, index[inside][won], candidates[won])
+ voxel_values.append(interpolated[winner])
+
+ return batch, fvdb.JaggedTensor(voxel_values)
+
+
+def estimate_voxel_size(
+ vertices: fvdb.JaggedTensor,
+ faces: fvdb.JaggedTensor,
+ detail_scale: float = 1.0,
+ percentile: float = 10,
+ smallest: float | None = None,
+ largest: float | None = None,
+) -> torch.Tensor:
+ """Estimate a voxel size per group from triangle edge lengths.
+
+ The estimate is driven by the ``percentile``-th triangle edge length scaled
+ by ``detail_scale``. A modeller subdivides where there is detail, so the
+ short edges track the finest tessellation present.
+
+ Args:
+ vertices: Group-local world-space vertex positions, jagged shape:
+ (G, V_g, 3). G: number of groups; V_g: vertices in group g.
+ faces: Triangle corner indices into the group's own vertices, jagged
+ shape: (G, F_g, 3). F_g: triangles in group g.
+ detail_scale: Voxel size as a multiple of the ``percentile``-th edge
+ length. Smaller oversamples; larger blurs.
+ percentile: Which edge-length percentile drives the base estimate.
+ smallest: Absolute floor on the voxel size in world units. No floor
+ applied when ``None``.
+ largest: Absolute ceiling on the voxel size in world units. No ceiling
+ applied when ``None``.
+
+ Returns:
+ Estimated voxel size per group in world units, shape: (G,).
+ """
+
+ def _size_for(g: int) -> torch.Tensor:
+ c = vertices[g].jdata[faces[g].jdata.long()] # (F_g, 3, 3)
+ edges = torch.cat([c[:, 1] - c[:, 0], c[:, 2] - c[:, 1], c[:, 0] - c[:, 2]])
+ lengths = (edges * edges).sum(dim=-1).sqrt() # (3 * F_g,)
+ s = detail_scale * torch.quantile(lengths, percentile / 100.0)
+ if smallest is not None:
+ s = s.clamp(min=smallest)
+ if largest is not None:
+ s = s.clamp(max=largest)
+ return s
+
+ return torch.stack([_size_for(g) for g in range(vertices.num_tensors)])
+
+
+def voxel_centers(topology: fvdb.GridBatch) -> fvdb.JaggedTensor:
+ """World-space center of every voxel in the batch.
+
+ Args:
+ topology: Voxelized geometry, one grid per group. G: number of grids.
+
+ Returns:
+ Voxel centers in world units, jagged shape: (G, M_g, 3). M_g: voxels in
+ grid g.
+ """
+ return fvdb.JaggedTensor(
+ [
+ grid.voxel_to_world(grid.ijk.float())
+ for grid in (
+ fvdb.Grid.from_grid_batch(topology, g)
+ for g in range(topology.grid_count)
+ )
+ ]
+ )
+
+
+def broadcast_to_voxels(
+ topology: fvdb.GridBatch, values: torch.Tensor
+) -> fvdb.JaggedTensor:
+ """Give every voxel of a grid the value belonging to that grid.
+
+ The trace reports which voxel a ray hit, so anything the caller knows per
+ group -- a material id, a part label -- has to be resolved per voxel to be
+ looked up with it.
+
+ Args:
+ topology: Voxelized geometry, one grid per group. G: number of grids.
+ values: One value per grid, shape: (G,) or (G, D). D: value
+ dimensionality.
+
+ Returns:
+ The grid's value repeated over its voxels, jagged shape: (G, M_g) or
+ (G, M_g, D). M_g: voxels in grid g.
+ """
+ return fvdb.JaggedTensor(
+ [
+ values[g].expand(topology.num_voxels_at(g), *values.shape[1:]).contiguous()
+ for g in range(topology.grid_count)
+ ]
+ )
diff --git a/modsim_toolbox/uv.lock b/modsim_toolbox/uv.lock
new file mode 100644
index 0000000..38fe31b
--- /dev/null
+++ b/modsim_toolbox/uv.lock
@@ -0,0 +1,475 @@
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+
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