radiosity op• データ種: table × table × table → table
• 呼び出し: 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) (実装を直接呼ぶなら 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)、台帳から引くなら opsoptics.get("render_optscene_gi"))
Inspection render with interreflection: the photometry of render_optscene plus n bounces (or the converged sum) between Lambertian patches.
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 の全 op は入力を検証してから計算する(黙って通さない):
• 単位は引数名に埋め込む — _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。
• 文字列は 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。
• complex / masked array は 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。
• 0 除算とその親戚を名指しで拒否: 焦点距離 0・曲率半径 0・屈折率 <= 0・不透明な開口(全 0 なので正規化が 0/0)・総和 <= 0 の PSF・S0 = 0 の Stokes ベクトル・物体が前側焦点にある(像が無限遠)。
• 非有限を返すのは 2 op だけ、しかも契約として明記: 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。
• サイズ上限: 生成格子は 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。
• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。
• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。
• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。
• poc_pocket_interreflection — py -3.11 examples/poc_pocket_interreflection.py
table 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
radiosity)form_factor_parallel_rects · form_factor_perpendicular_rects · form_factor_polygons · radiosity_patches · form_factor_matrix · radiosity_progressive_3d
*Provenance: radiosity3d.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.