pixelshift op• Data kinds: video × matrix → image2d
• Call: import fullseye as fs; fs.ledger.pixel_shift_motion_mask(frames, shifts, pattern='RGGB', scale=1, threshold=4.0, noise_sigma=0.0) (to call the implementation directly, import pixelshift; pixelshift.pixel_shift_motion_mask(frames, shifts, pattern='RGGB', scale=1, threshold=4.0, noise_sigma=0.0); from the registry, opsoptics.get("pixel_shift_motion_mask"))
Map of moved pixels (H·scale, W·scale) (1.0 = moved, 0.0 = static or undecidable).
> The detailed description below is the original text — the summary and the headings are translated.
同じ出力の格子点に、別の枚から同じ色(Bayer なら G、白黒ならそのまま)の標本が 2 つ以上入る。被写体が止まっていれば、その差は時間の雑音だけ(差の標準偏差 √2·σ)。差の幅(最大 − 最小)が threshold · √2 · σ を超えた格子点を「動いた」とする。σ は *noise_sigma* で与えるか、0 なら全格子点の差の中央値から推定する(半正規の中央値 0.6745·√2·σ。動いた画素が半数を超えると推定が壊れる —— MAD と同じ破綻点)。
★雑音の少ない静止画でも、シフトの誤差があると細かい模様の上で差が出る(誤差 δ・空間周波数 f・振幅 a で差 ≈ 2π f a δ)。閾値はその偽陽性と、遅い動き(1 枚あたり小さなずれ)の見逃しの綱引き。1 画素シフト 4 枚の Bayer では、各格子点の G はちょうど 2 つ(別の 2 枚から)。
Raises ValueError: frames・shifts の形 / 公称のシフトが格子に乗らない / threshold が正でない / どの格子点にも同じ色の標本が 2 つ入らない(このシフト列では動きを検出できない)。
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.
• 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_pixel_shift — py -3.11 examples/poc_pixel_shift.py
image2d as input)fraunhofer_pattern · pupil_psf · pupil_blur · psf_to_mtf · edge_spread · veiling_glare_index · emva_pair_statistics · emva_defect_pixels
pixelshift)pixel_shift_pattern · pixel_shift_capture · pixel_shift_merge · false_color_metric · pixel_shift_resolution_budget
*Provenance: pixelshift.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.