linescan op• Data kinds: table → table
• Call: import fullseye as fs; fs.ledger.linescan_lens_columns(profile=None, width=8192, pixel_um=7.0, frequency_index=None) (to call the implementation directly, import linescan; linescan.linescan_lens_columns(profile=None, width=8192, pixel_um=7.0, frequency_index=None); from the registry, opsoptics.get("linescan_lens_columns"))
Turn the image-height table of lens_field_profile into illumination and blur for each pixel column of a line sensor (table).
> The detailed description below is the original text — the summary and the headings are translated.
列 j の像高 = |j − (width − 1)/2| × 画素ピッチ。照度は像高で線形補間(表の外は ValueError —— 外挿しない)。ぼけは MTF を 1 つの周波数 ν(frequency_index、既定は表の真ん中)でガウスに合わせた σ:
MTF(ν) = exp(−2π²σ²ν²) → σ = √(−ln MTF / (2π²ν²))。幅方向 = タンジェンシャル、流れ方向 = サジタル。★ガウスは近似(コマや口径食の非対称な PSF を対称にしてしまう)。MTF が 0.02 未満の列は σ を「その周波数で 0.02」に当たる値で止める(どうせ見えない; 光が届かない列は照度 0)。
返り値 dict: relative_illumination (width,) / blur_sigma_px (width, 2) = (幅方向, 流れ方向)/ image_height_mm (width,) / frequency_lp_mm / pixel_um。
Raises ValueError: profile が lens_field_profile の結果でない / センサが表の像高の範囲を超える / width・pixel_um が範囲外 / frequency_index が範囲外 / 選んだ周波数が 0。
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.
• 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_tdi_linescan — py -3.11 examples/poc_tdi_linescan.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
linescan)tdi_snr · tdi_sync_mtf · linescan_acquire · lens_field_profile · linescan_lens_example
*Provenance: linescan.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.