shape_from_polarization oppolsweep → tableimport fullseye as fs; fs.ledger.sfp_normals(sweep, refractive_index=1.5, model='specular', angles_deg=(0.0, 45.0, 90.0, 135.0), violation_tol=0.05, out_of_range='invalid') (実装を直接呼ぶなら import sfpolar; sfpolar.sfp_normals(sweep, refractive_index=1.5, model='specular', angles_deg=(0.0, 45.0, 90.0, 135.0), violation_tol=0.05, out_of_range='invalid')、台帳から引くなら opsoptics.get("sfp_normals"))From a polariser sweep to the explicit set of candidate surface normals per pixel — 2 for the diffuse model, 4 for the specular model (2 zeniths x 2 azimuths).
sweep is an (N, H, W) stack through linear analysers at angles_deg
(the polsweep sort; :func:optics.polarization_demosaic gives it from a
raw mosaic). Per pixel the sinusoid I(t) = a0 + a1 cos 2t + a2 sin 2t is
fitted (the same least-squares fit as :func:specularity.polarization_dolp_map),
giving DoLP = hypot(a1, a2)/a0 and AoLP = 0.5 atan2(a2, a1); then
:func:dolp_to_zenith and :func:aolp_to_azimuth give the zenith and
azimuth candidates.
A fitted minimum below zero (modulation above the mean, DoLP > 1) is
impossible for light. Near Brewster’s angle the true minimum is ~0, so
sensor noise pushes it slightly negative; violation_tol is the largest
excess DoLP - 1 that is read as noise (DoLP clipped to 1). A larger
excess marks the pixel invalid — the frames do not match angles_deg,
or the pixel saw something other than a polariser sweep. Such a pixel is
reported in violation, never silently clipped.
(:func:specularity.polarization_dolp_map refuses the whole image instead;
a shape map with one hot pixel is still a shape map, so here the decision
is per pixel and :func:sfp_disambiguate refuses invalid pixels inside its
mask by default.)
out_of_range: a DoLP that no zenith produces (diffuse model, above
(n^2-1)/(n^2+1)) makes the pixel "invalid" (default) or is
"clamp"-ed to the reachable limit and kept, flagged in clamped.
Returns a dict (a table, marked kind == "sfp_candidates"):
candidates (K, H, W, 3) unit normals; specular order is
[low zenith & azimuth 0, low & azimuth 1, high & azimuth 0, high &
azimuth 1], diffuse [azimuth 0, azimuth 1]. Zero vectors at
invalid pixels (see valid) — never NaN, never a made-up unit normal.zenith_deg (1|2, H, W), azimuth_deg (2, H, W),
dolp, aolp_deg, intensity (S0) (H, W).n_distinct (H, W) — how many genuinely different normals the
pixel admits: 4 (specular), 2 at Brewster’s angle or for the diffuse
model, 0 where nothing fits or the pixel is dark.valid (H, W) bool — lit, physically possible and invertible;
violation / clamped (H, W) bool — why a pixel is suspect.model, refractive_index, brewster_deg.Nothing here chooses among the candidates; a single “best” normal map returned at this stage would be a guess dressed as a measurement.
Raises ValueError: not an (N, H, W) stack of >= 3 finite
non-negative frames; angles that do not match or do not determine the fit;
violation_tol outside [0, 1]; index not > 1; unknown model /
out_of_range.
optics の全 op は入力を検証してから計算する(黙って通さない):
_mm / _um / _deg / _mrad。mm と µm の取り違えは crash ではなく「もっともらしく間違った答え」なので、名前で防ぐ。大きさから単位を推測する処理は一切しない。ValueError — float('50') は成功してしまうため、未パースの設定値が長さとして通り抜ける(実測: thin_lens('50', '200') がもっともらしい 66.667 mm を返していた)。bool も True == 1 の暗黙昇格として拒否。ValueError(実数枠のみ。虚部の無言切り捨て・マスク剥がしを拒否)。NaN/Inf は全入力で ValueError。depth_of_field の過焦点距離以遠の far_mm = inf(それが過焦点距離の定義)と gaussian_beam のウエストでの wavefront_radius_mm = inf(平面波面の曲率半径)。どちらも有限の相棒(far_is_infinite / curvature_per_mm)を併せて返す。それ以外の無言 NaN/Inf は内部で検出して ValueError —「float64 が溢れた」と「答えが無限大」は別の主張なので、後者の顔で前者を返さない。optics.MAX_GRID(4096)、供給された場/PSF/開口は optics.MAX_FIELD_ELEMENTS(2^24)、ABCD 素子列は optics.MAX_SYSTEM_ELEMENTS(1024)、Zernike は MAX_ZERNIKE_TERMS(512)/ MAX_ZERNIKE_ORDER(40)/ MAX_ZERNIKE_BASIS(2^25)。小さな引数から巨大な内部確保が起きる経路(実測: n_max=40 × 4096² で 108 GB)を fail-closed で塞ぐ。| 物理的に不可能な状態も拒否: 偏光度 > 1 の Stokes ベクトル、負の透過率、負の強度、n- | m | が奇数などの不正な Zernike 添字。 |
py -3.11 examples/poc_shape_from_polarization.pytable を入力に取れる)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
shape_from_polarization)sfp_dolp_model · dolp_to_zenith · aolp_to_azimuth · sfp_render · sfp_disambiguate · sfp_estimate_index · sfp_height
Provenance: sfpolar.py — OPTICS operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.