polarization op• 資料種類:polsweep → image2d
• 呼叫:import specularity; specularity.polarization_separate(images, angles_deg=(0.0, 45.0, 90.0, 135.0), max_violation_frac=0.0)(或 opsspecular.get("polarization_separate"))
把偏振片旋轉序列分成非偏振與線偏振的輻亮度。→ (diffuse, specular),都是 (H, W)。
> 以下的詳細說明為原文 —— 摘要與標題已翻譯。
Fitting `I(t) = 0.5 (S0 + S1 cos 2t + S2 sin 2t)` per pixel gives
`I_min and I_max` in closed form, and the classical separation
(Wolff & Boult 1991; Nayar, Fang & Boult 1997) reads
`diffuse = 2 * I_min` (the unpolarised radiance)
`specular = I_max - I_min` (the linearly polarised radiance)
with `diffuse + specular = I_min + I_max` = the total scene radiance, so
nothing is lost or invented. Round-tripping
:func:polarization_render through this operator returns the inputs with a
maximum absolute error of 3.9e-16 for the four angles of a
division-of-focal-plane sensor and 4.4e-16 for a bare three-angle sweep
(measured in `tests/test_specularity.py`).
Read the names as shorthand. What is recovered exactly is the
unpolarised and polarised parts. Calling them diffuse and specular assumes
diffuse reflection is unpolarised and specular reflection is fully linearly
polarised — true near Brewster's angle for a dielectric, **false at normal
incidence**, where the specular reflection is unpolarised and this operator
returns all of it as "diffuse", and unreliable for metals. The polarisation
route is complementary to the colour route
(:func:specular_diffuse_split), not a replacement: it needs no illuminant
colour and works on textured, multi-material surfaces, but it needs a
favourable geometry.
*max_violation_frac* is the fraction of pixels allowed to fit a negative
minimum radiance before the call fails. The default 0 is fail-closed: a
negative fitted minimum means the modulation exceeded the mean, which no
analyser can produce, and it usually means the frames and *angles_deg* are
out of order. Raise it to clamp sensor-noise-level violations to zero as a
deliberate, recorded choice.
Raises `ValueError: *images* is not an (N, H, W)` stack of at
least 3 frames, or exceeds :data:MAX_LIGHTS / :data:MAX_STACK_ELEMENTS;
*angles_deg* does not match the frame count or leaves the fit
rank-deficient (two angles equal modulo 180); more than
*max_violation_frac* of the pixels fit a negative minimum.
• 範例資料目錄(下載 URL / 授權) —— 2-D 用 skimage.data(BSD/公有領域)加合成圖,3-D 給出真實資料源(Stanford/PDS 等)的下載 URL。
• 運算子來歷與參考文獻 —— 該運算子族所依據的研究/方法出處。
• 演算法的正典(作者・年份)與用途見上面的族使用指南。
• specular_photometric — py -3.11 examples/specular_photometric.py
image2d 作為輸入)polarization)polarization_render · polarization_dolp_map · polarization_stokes
*Provenance: specularity.py — SPECULAR 運算子登記表。本條目由 tools/opdocs.py md 自動產生(請勿手動編輯)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.