radiosity optable × signal → tableimport fullseye as fs; fs.ledger.radiosity_progressive_3d(patches, emission, form_factors=None, albedo=None, tol=1e-06, max_shots=None, n_quad=3) (実装を直接呼ぶなら import radiosity3d; radiosity3d.radiosity_progressive_3d(patches, emission, form_factors=None, albedo=None, tol=1e-06, max_shots=None, n_quad=3)、台帳から引くなら opsoptics.get("radiosity_progressive_3d"))Progressive-refinement radiosity (Cohen et al. 1988, shooting, eqs. 7–8) on a 3-D patch set, with the evidence that it converged.
Solves B = E + diag(ρ) F̃ B (F̃_ji = F_ij A_i/A_j, eq. 8) by shooting: all
patches start with B = ΔB = E (the emitted, or first-reflected, radiosity);
repeatedly the patch with the largest unshot energy ΔB_i A_i shoots —
every patch j gains ΔRad = ρ_j ΔB_i F_ij A_i/A_j in both B_j and
ΔB_j — and its ΔB_i is reset to 0. Ties (equal after rounding to 1e-12
relative) go to the lower index; nothing is random.
Stopping rule — our choice, not Cohen’s: the paper stops “when the solution
converges to within the desired tolerance” without a number. Here the shooting
stops when the residual unshot energy Σ ΔB_i A_i falls to tol times the
initial energy Σ E_i A_i (a bound on the energy still missing from the
solution). max_shots (default 200 × N) caps the work; hitting it returns
converged=False.
emission E is (N,) or (N, C) (C colour channels), non-negative.
albedo defaults to the patches’ (RGB when emission has 3 channels, else the
channel mean). form_factors defaults to :func:form_factor_matrix (n_quad).
Returns a dict (table) with kind = "rad_solution", radiosity (N, C),
unshot_history (the residual energy before each shot), n_shots,
converged, tol, residual_energy (relative), initial_energy and the
stop_rule text.
Raises ValueError: an empty or unmarked table (not radiosity_patches);
emission or albedo of the wrong shape, negative or non-finite; an albedo outside
[0, 1]; tol not in (0, 1]; a form-factor matrix of the wrong shape. (An
albedo of 1 in a closed enclosure never loses energy: the shooting then stops at
max_shots with converged=False instead of raising.)
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_pocket_interreflection.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
radiosity)form_factor_parallel_rects · form_factor_perpendicular_rects · form_factor_polygons · radiosity_patches · form_factor_matrix · render_optscene_gi
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.