pixelshift op• Data kinds: none → matrix (an op determined by its arguments alone — it takes no image or data input)
• Call: import fullseye as fs; fs.ledger.pixel_shift_pattern(mode='4shot', error_px=0.0, cycles=1, seed=0) (to call the implementation directly, import pixelshift; pixelshift.pixel_shift_pattern(mode='4shot', error_px=0.0, cycles=1, seed=0); from the registry, opsoptics.get("pixel_shift_pattern"))
Nominal pixel-shift sequence (N, 2) (dr, dc) [sensor pixels] with the actuator error added.
> The detailed description below is the original text — the summary and the headings are translated.
*mode*:
• "single" —— (0, 0) の 1 枚(比較の基準)。
• "4shot" —— (0,0)・(0,1)・(1,1)・(1,0)。Bayer の 2×2 を一巡し、各画素で R・G・G・B が揃う(解像度はそのまま)。
• "half4" —— (0,0)・(0,½)・(½,½)・(½,0)。白黒センサで標本の間隔を 1/2 画素に(ナイキスト 2 倍)。
• "16shot" —— 半画素 4 位相 × 1 画素 4 枚。Bayer で 2 倍の格子の各点に R・G・G・B が揃う。
*error_px*: 各枚・各軸に独立に足す正規乱数の標準偏差 [画素] (圧電の位置決め誤差・振動)。0 なら公称のまま。★合わせる側(pixel_shift_merge)には公称を渡すこと —— 実機は誤差を知らない。*cycles*: 同じ巡りを何周するか(N 倍の枚数で雑音を √N で下げる。動く被写体では誤差の元)。*seed*: 誤差の乱数の種。
Raises ValueError: mode が一覧に無い / error_px が負・0.5 以上・非有限 / cycles が 1〜64 の整数でない。
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
matrix as input)abcd_trace · emva_filter_distortion · mueller_apply · mueller_checks · pixel_shift_capture · pixel_shift_merge · pixel_shift_motion_mask · oct_from_spectra
pixelshift)pixel_shift_capture · pixel_shift_merge · pixel_shift_motion_mask · 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.