imaging op• Data kinds: image2d → table
• Call: import fullseye as fs; fs.ledger.edge_spread(img, roi, *, oversample=4, orientation='auto') (to call the implementation directly, import edgesfr; edgesfr.edge_spread(img, roi, *, oversample=4, orientation='auto'); from the registry, opsoptics.get("edge_spread"))
> This operator's description has not been translated yet. The original text follows as it is.
傾いたエッジ(ISO 12233)の ROI から、画素より細かい ESF を作る。
手順: ROI を「エッジが行を横切る」向きにそろえる(`orientation="auto"` は列方向と行方向の勾配の大きさで決める、
`"vertical" = エッジが縦に走る / "horizontal"` = 横に走る)→ 行ごとに 1 階差分の重心でエッジの位置を出す →
位置を行番号に直線で当てる(最小二乗)→ 各画素の中心のエッジからの垂直距離 d を出し、幅 1/oversample px の升に
振り分けて平均する。
返り値 ``{"x": 升の中心の距離 [px] (エッジに垂直), "esf": 升の平均, "count": 升の画素数, "angle_deg": エッジの傾き
(行に対する、符号つき), "oversample", "orientation": 使った向き, "edge_x0": ROI の 0 行目でのエッジの位置 [px]}``。
★傾きが小さすぎる(画素の位相が升を埋めない)と空の升が出る —— 黙って補間しないで `ValueError`。
ISO 12233 が 2〜10° 程度の傾きを求めるのはこのため。傾きが 45° を越えるなら `orientation` が逆。
Raises `ValueError`: 画像が 2-D の実数でない / NaN・inf / roi が画像の外・空・4 行 × 8 列未満 /
oversample が 1〜16 の整数でない / 行の中にエッジ(差分の変化)が無い / 傾きが 45° 以上 / 空の升が出た。
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.
• 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
• 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.
• poc_veiling_glare — py -3.11 examples/poc_veiling_glare.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
imaging)psf_to_mtf · mtf_diffraction · wavefront_stats · sfr_from_edge · mtf50 · veiling_glare_index
*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.