polarization_render — SPECULAR polarization op

Data kinds: image2d × image2dpolsweep

Call: import specularity; specularity.polarization_render(diffuse, specular, angles_deg=(0.0, 45.0, 90.0, 135.0), azimuth_deg=0.0) (or opsspecular.get("polarization_render"))

Usage

Forward model of a polariser sweep: turn a known split into the frames a polarisation camera would record. → (N, H, W).

`I(t) = 0.5 * diffuse + specular * cos^2(t - azimuth)`. The diffuse term is

treated as completely unpolarised, so it contributes half its radiance at

every analyser angle; the specular term is treated as completely linearly

polarised at *azimuth_deg*, so it follows Malus's law. Those are the two

assumptions :func:polarization_separate inverts, and rendering with them

is how the inversion gets a ground truth to be exact against.

Physically the assumptions hold near Brewster's angle for a dielectric and

fail at normal incidence; the module docstring says where. This operator

does not model the incidence angle at all — it takes the two radiance maps

you specify and produces the sweep they imply.

Raises `ValueError`: *diffuse* / *specular* are not 2-D arrays of the

same shape, or are complex / masked / non-finite / string-typed; either has

a negative value (a negative radiance is not a scene); *angles_deg* has

fewer than 3 entries or does not determine the three unknowns.

Detailed usage guide

specular_photometric family guide

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

poc_polarization_specularpy -3.11 examples/poc_polarization_specular.py

specular_photometricpy -3.11 examples/specular_photometric.py

Ops the type connects to (they accept polsweep as input)

polarization_separate · polarization_dolp_map · polarization_stokes

Same category (polarization)

polarization_separate · polarization_dolp_map · polarization_stokes


*Provenance: specularity.py — SPECULAR operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.