imaging op• Data kinds: table → pairs
• Call: import fullseye as fs; fs.ledger.sfr_from_edge(esf, window, *, correction, ends=1.0, apodize='none') (to call the implementation directly, import edgesfr; edgesfr.sfr_from_edge(esf, window, *, correction, ends=1.0, apodize='none'); from the registry, opsoptics.get("sfr_from_edge"))
> This operator's description has not been translated yet. The original text follows as it is.
ESF から SFR(エッジから測る MTF)を出す。
*esf* は :func:edge_spread の返り値(辞書)か、1 px 刻みの 1-D 配列(`oversample` = 1 とみなす)。
エッジの中心(差分の絶対値の最大)から ±*window* px を切り、両端 *ends* px の平均を黒/白の基準に正規化し、
前進差分で LSF にしてフーリエ変換の絶対値を DC で割る。
*window*(必須、px): 切り出す半幅。★迷光(裾)は窓の外に居るので、窓を狭くするほど SFR から見えなくなる。
*correction*(必須): 標本化が作る sinc の割り戻し。
`"none"` — 割り戻さない(離散の段差を離散の PSF で畳んだ像なら前進差分が離散 LSF そのもので、これが正しい)。
`"derivative"` — 連続のエッジを点で標本した ESF の前進差分は幅 Δ の箱で LSF を均すので sinc(fΔ) で割る。
`"derivative+bin" — :func:edge_spread` の升(幅 Δ)の平均がもう 1 つの箱なので sinc(fΔ)² で割る。
*apodize*: `"none" か "hamming"`(ISO 12233:2017 の LSF の窓)。
返り値 `(n, 2)` の pairs: 列 0 = 周波数 [cyc/px] (エッジに垂直)、列 1 = SFR。0 〜 min(1.0, 0.5/Δ) cyc/px
(升の刻み Δ の Nyquist まで、ただし画素の Nyquist の 2 倍 = 1 cyc/px で打ち切る。その先は sinc の割り戻しが暴れる)。
Raises `ValueError`: esf が空・NaN / window が正の有限でない・ESF の長さを越える / ends が window 以上 /
correction・apodize が一覧に無い / 黒と白の基準が等しい(エッジが無い)。
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
pairs as input)imaging)psf_to_mtf · mtf_diffraction · wavefront_stats · edge_spread · 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.