sfp_disambiguate — OPTICS shape_from_polarization op

• 数据种类:table → normalmap

• 调用: import fullseye as fs; fs.ledger.sfp_disambiguate(candidates, prior='convex', mask=None, center=None, prior_normals=None, coarse_depth=None, brewster_tol=0.02, invalid='raise')(要直接调用实现,import sfpolar; sfpolar.sfp_disambiguate(candidates, prior='convex', mask=None, center=None, prior_normals=None, coarse_depth=None, brewster_tol=0.02, invalid='raise');从台账取用则 opsoptics.get("sfp_disambiguate"))

用法

用明确的先验从 sfp_normals 的候选中为每个像素选 1 个法线 —— 凸性 + Brewster 脊线分割,或粗略深度/法线(normalmap)。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

prior="convex" (an object bulging toward the camera, such as a dome, a lens or a cap): the azimuth is the candidate pointing away from *center* (default: the centroid of *mask*). For the specular model the two zenith branches are separated by the Brewster ridge — the pixels whose DoLP is within *brewster_tol* of 1: the connected region of the mask that contains *center* (minus the ridge) takes the branch below Brewster's angle, the rest of the mask the branch above. Inside the ridge band the branch is read from the radial slope of the DoLP (a convex surface tilts more toward its rim, so the DoLP rises outward below Brewster's angle and falls outward above it). If the object never reaches Brewster's angle there is no ridge and every pixel stays on the low branch, which is right for a shallow dome. If noise breaks the ridge, the outside leaks in and takes the low branch — measured in the tests, not hidden.

prior="normals" / prior="depth": per pixel, the candidate closest in angle to *prior_normals* (H, W, 3) — or to the normals of *coarse_depth* (H, W) (height toward the camera, pixel units, photometric.surface_normals). This resolves both ambiguities at once, and a coarse depth needs to be right only to within the angular distance between candidates.

Pixels outside *mask* (default candidates["valid"]) are set to (0, 0, 1) (flat background, the convention of photometric.integrate_normals). Invalid pixels inside the mask (valid is False: dark, physically impossible, or out of the model's

reach): invalid="raise" refuses (fail-closed), "exclude" drops them to the background.

Returns an (H, W, 3) float64 unit normal map (the normalmap sort).

Raises ValueError: *candidates* not an sfp_normals result; unknown *prior* / *invalid*; a prior's array missing or of the wrong shape; an empty mask; invalid pixels inside the mask with invalid="raise".

该族通用的输入契约(fail-closed)

optics 的每个算子都先校验输入再计算(不让任何东西无声通过):

• 单位写进参数名 —— _mm / _um / _deg / _mrad。把 mm 和 µm 弄混不会崩溃,而是给出「看着合理却是错的答案」,所以用命名来防。这里绝不从数值大小去猜单位。

• 字符串一律 ValueError —— float('50') 会成功,于是未解析的配置值会被当成长度混进来(实测:thin_lens('50', '200') 曾返回看着合理的 66.667 mm)。bool 也按 True == 1 的隐式提升拒绝。

• complex / masked array 一律 ValueError(仅接受实数槽位;拒绝无声丢弃虚部或剥掉掩码)。所有输入中的 NaN/Inf 一律 ValueError。

• 逐项点名拒绝除零及其近亲:焦距 0、曲率半径 0、折射率 <= 0、全不透明光阑(全为 0,归一化变成 0/0)、总和 <= 0 的 PSF、S0 = 0 的 Stokes 矢量、物体位于前焦点(像在无穷远)。

• 只有两个算子会返回非有限值,而且都写进了契约:depth_of_field 在超焦距以外返回 far_mm = inf(这正是超焦距的定义),gaussian_beam 在束腰处返回 wavefront_radius_mm = inf(平面波前的曲率半径)。两者都同时返回一个有限的搭档(far_is_infinite / curvature_per_mm)。除此之外的无声 NaN/Inf 都在内部检出并 ValueError ——「float64 溢出了」和「答案是无穷大」是两种不同的主张,不能拿后者的脸去交付前者。

• 尺寸上限:生成网格受 optics.MAX_GRID(4096)限制,传入的场/PSF/光阑受 optics.MAX_FIELD_ELEMENTS(2^24),ABCD 元件序列受 optics.MAX_SYSTEM_ELEMENTS(1024),Zernike 受 MAX_ZERNIKE_TERMS(512)/ MAX_ZERNIKE_ORDER(40)/ MAX_ZERNIKE_BASIS(2^25)。以 fail-closed 堵住「小参数引发巨大内部分配」的路径(实测:n_max=40 × 4096² 需要 108 GB)。

• 物理上不可能的状态同样拒绝:偏振度 > 1 的 Stokes 矢量、负透过率、负强度、n-|m| 为奇数等非法 Zernike 指标。

详细使用指南

• optics_imaging 族使用指南

参考(示例数据、文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

• 算法的正典(作者、年份)与用途见上面的族使用指南。

可运行的示例(实际调用该算子并已验证的样例)

• poc_shape_from_polarization — py -3.11 examples/poc_shape_from_polarization.py

类型可衔接的下一个算子(可接受 normalmap 作为输入)

grating_rgb · thin_film_rgb · ward_anisotropic · micro_normals · blast_normals · finish_shade · oren_nayar · clearcoat_shade

同类别(shape_from_polarization)

sfp_dolp_model · dolp_to_zenith · aolp_to_azimuth · sfp_render · sfp_normals · sfp_estimate_index · sfp_height


*Provenance: sfpolar.py — OPTICS 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

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