veiling_glare_index — OPTICS imaging op

• Data kinds: image2d × image2d × image2d → table

• Call: import fullseye as fs; fs.ledger.veiling_glare_index(img, dark_mask, bright_mask) (to call the implementation directly, import edgesfr; edgesfr.veiling_glare_index(img, dark_mask, bright_mask); from the registry, opsoptics.get("veiling_glare_index"))

Usage

> This operator's description has not been translated yet. The original text follows as it is.

迷光(ベーリンググレア)指数: 黒い点の中心の明るさの平均 / 白地の明るさの平均(ISO 9358 の考え方)。

*dark_mask*(必須): 黒い点の中心部の画素(点の縁の ぼけ を含めない —— 縁を含めるとコアの ぼけ まで迷光に数える)。

*bright_mask*(必須): 白地の画素。★黒い点の大きさ(と光源の広さ)で答えが変わる: 裾が 1/(1+(r/r0)²) のレンズでは

黒い点の一辺を 16 → 256 px にすると同じレンズの指数が 19.6 % → 4.5 %(poc_veiling_glare 3 節)。点の大きさは結果と一緒に報告すること。

返り値 `{"vgi": 比, "dark": 黒点の平均, "bright": 白地の平均, "n_dark", "n_bright"}`。暗電流・黒レベルは引かない

(引いた像を渡す)。

Raises `ValueError`: 画像・マスクの形が違う / マスクが bool でない・空・重なる / 白地の平均が 0 以下。

Family-wide input contract (fail-closed)

Every optics op validates its input before computing (nothing slips through silently):

• Units are baked into the argument name — _mm / _um / _deg / _mrad. Confusing mm with µm does not crash; it yields a plausible-looking wrong answer, so the name prevents it. Nothing here guesses the unit from the magnitude.

• **Strings raise ValueError** — float('50') succeeds, so an unparsed configuration value would slip through as a length (measured: thin_lens('50', '200') returned a plausible 66.667 mm). bool is refused too, as the implicit promotion True == 1.

• **complex / masked arrays raise ValueError (real-valued slots only; silently dropping the imaginary part or peeling off the mask is refused). NaN/Inf raises ValueError on every input.**

• Division by zero and its relatives are refused by name: focal length 0, radius of curvature 0, refractive index <= 0, a fully opaque aperture (all zeros, so the normalisation is 0/0), a PSF whose sum is <= 0, a Stokes vector with S0 = 0, and an object sitting at the front focal point (the image is at infinity).

• Only two ops return a non-finite value, and both state it as a contract: depth_of_field returns far_mm = inf beyond the hyperfocal distance (that is what the hyperfocal distance means), and gaussian_beam returns wavefront_radius_mm = inf at the waist (the radius of curvature of a plane wavefront). Both also return a finite companion (far_is_infinite / curvature_per_mm). **Any other silent NaN/Inf is detected internally and raises ValueError** — "float64 overflowed" and "the answer is infinite" are different claims, so the first is never returned wearing the face of the second.

• Size caps: generated grids are capped by optics.MAX_GRID (4096); supplied fields/PSFs/apertures by optics.MAX_FIELD_ELEMENTS (2^24); ABCD element chains by optics.MAX_SYSTEM_ELEMENTS (1024); Zernike by MAX_ZERNIKE_TERMS (512) / MAX_ZERNIKE_ORDER (40) / MAX_ZERNIKE_BASIS (2^25). This closes, fail-closed, the paths where a small argument triggers a huge internal allocation (measured: n_max=40 × 4096² needs 108 GB).

• Physically impossible states are refused too: a Stokes vector with degree of polarisation > 1, negative transmittance, negative intensity, and invalid Zernike indices such as n-|m| odd.

Detailed usage guide

• optics_imaging family guide

Background guides (the physics and conventions behind this op)

• measurement_uncertainty — 計測の不確かさと校正の知識 — 「測れている」を主張するために

• mv_cameras — 産業用カメラメーカー(センサとの紐付け・ラインスキャン / TDI)

• virtual_machine_vision — 仮想マシンビジョン — パラメータの洗い出しとオブジェクト模型

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_veiling_glare — py -3.11 examples/poc_veiling_glare.py

Ops the type connects to (they accept table as input)

abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd

Same category (imaging)

psf_to_mtf · mtf_diffraction · wavefront_stats · edge_spread · sfr_from_edge · mtf50


*Provenance: edgesfr.py — OPTICS operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

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