radiosity op• 数据种类:table × table × table → table
• 调用: import fullseye as fs; fs.ledger.render_optscene_gi(scene, camera, lights, bounces=None, patch_mm=2.0, outer_mm=None, tol=1e-06, n_quad=3, supersample=1, study_bounces=8, study_tol=0.01)(要直接调用实现,import radiosity3d; radiosity3d.render_optscene_gi(scene, camera, lights, bounces=None, patch_mm=2.0, outer_mm=None, tol=1e-06, n_quad=3, supersample=1, study_bounces=8, study_tol=0.01);从台账取用则 opsoptics.get("render_optscene_gi"))
含相互反射的检测用渲染:在 render_optscene 的光度之上加上朗伯面片之间的 n 次反射(或收敛解)。
> 以下的详细说明为原文 —— 摘要与标题已翻译。
The same scene (optscene.scene_*), camera (optical_camera) and lights (illumdesign.light_source results) as optscene.render_optscene. The direct part is computed with the very same irradiance function, so bounces=0 reproduces render_optscene exactly (a test gate). On top of it the surfaces are cut into patches (radiosity_patches, at most *patch_mm* inside pockets and *outer_mm* (default *patch_mm*) elsewhere on a side), their view factors computed with occlusion (form_factor_matrix), and the light reflected between them added:
• bounces=None — converged, by progressive shooting (radiosity_progressive_3d, stop at residual energy tol);
• bounces=k — the Neumann partial sum: light that bounced at most k times between surfaces before reaching the camera (0 = direct only, 1 = one interreflection).
Each pixel's interreflected irradiance is gathered from the patch radiosities with the point-to-polygon closed form at the pixel's own surface point (final gather, one visibility ray per patch), so it is smooth inside a patch. Pixel radiance = ρ/π (E_direct + E_interreflected) in the same linear units as render_optscene. Light intensity enters linearly (the geometry is cached by a SHA-256 of the scene's shapes, camera and patch size — materials and light intensity are read on every call, so a calibration loop that varies albedo or intensity re-solves only the radiosity).
*study_bounces* K > 0 adds a bounce study: the images after 0..K bounces, the increment of each (max abs change / image peak), the observed ratio of successive increments g (the geometric analogue of an observed order of convergence), a GCI-style estimate 1.25 · Δ_k g/(1 − g) of what the remaining bounces still add, whether k is in the asymptotic range (g moved by at most 5 % at k and at k − 1; before it the estimate can be optimistic), the actual error against the converged image, and bounces_needed = the first k in the asymptotic range whose GCI estimate is below *study_tol*.
Returns a dict (table) with kind = "gi_render", image (H, W, 3), direct (H, W, 3, identical to render_optscene), difference (H, W, 3) = image − direct (the interreflection map), indirect_share (H, W), bounces, converged, n_shots, unshot_history, n_patches, patch_radiosity (N, 3), bounce_study (list of rows, or None), bounces_needed and notes.
Raises ValueError: an empty scene, or an unsupported one (see radiosity_patches:
Lambertian boxes, box-minus-box pockets, finite planes; an infinite plane only black); no lights; *bounces* not None or an integer in [0, 1000]; bad *patch_mm*, *tol*, *n_quad*, *supersample*, *study_bounces* or *study_tol*; an all-zero image (as render_optscene).
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。
• 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。
• poc_pocket_interreflection — py -3.11 examples/poc_pocket_interreflection.py
table 作为输入)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
radiosity)form_factor_parallel_rects · form_factor_perpendicular_rects · form_factor_polygons · radiosity_patches · form_factor_matrix · radiosity_progressive_3d
*Provenance: radiosity3d.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.