light_transport op• Data kinds: none → table (an op determined by its arguments alone — it takes no image or data input)
• Call: import fullseye as fs; fs.ledger.groove_profile(kind='vgroove', n_patches=240, width=1.0, angle_deg=None, floor_frac=None, vertices=None) (to call the implementation directly, import lighttransport; lighttransport.groove_profile(kind='vgroove', n_patches=240, width=1.0, angle_deg=None, floor_frac=None, vertices=None); from the registry, opsoptics.get("groove_profile"))
Split a concave cross-section (V-groove, circular trough, fillet or any concave polyline) into patches, one camera pixel column each.
The part is extruded along the groove axis; the cross-section is a function z(x) that is concave (a valley), viewed by an orthographic camera from straight above, one patch per pixel column. The built-in shapes are sampled at n_patches + 1 uniform x (a kink between two samples is cut by the chord), rims at z = 0. *angle_deg* is the shape's defining angle and *floor_frac* the share of *width* that is a flat floor; None takes the per-shape default.
• "vgroove" — two plates with full opening angle *angle_deg* (default 90 = an inner corner tipped by 45 degrees, range [5, 175]), meeting at the bottom or, with floor_frac > 0 (default 0), on a centred flat floor (a trapezoidal groove). With no floor and an even *n_patches* the vertex is a patch edge.
• "trough" — circular arcs that reach a wall slope of *angle_deg* at the rims (default 60, range (0, 90)), with an optional centred floor (default 0).
• "fillet" — a flat floor over the left *floor_frac* of the width (default 0.5, range (0, 1)), then a circular arc tangent to it rising to a wall slope of *angle_deg* at the right rim (default 70, range (0, 85]) — a solder-fillet-like meniscus. The floor's left end is open.
• "polyline" — *vertices* (P+1, 2) as (x, z).
Returns a dict (a table) with kind = "lt_profile", shape, vertices (P+1, 2), centers (P, 2), normals (P, 2, unit, pointing up out of the material), lengths (P,) and x_centers (P,).
Raises ValueError: unknown *kind*; *n_patches* not an integer in [2, 2048]; non-positive or non-finite *width*; *angle_deg* or *floor_frac* outside the shape's range; *vertices* given for a built-in shape or missing for "polyline"; vertices that are not a concave function z(x) (x not strictly increasing, or a convex turn).
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.
• converge_tour — py -3.11 examples/converge_tour.py
• poc_interreflection_fringe_error — py -3.11 examples/poc_interreflection_fringe_error.py
• poc_itof_multifreq — py -3.11 examples/poc_itof_multifreq.py
table as input)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
light_transport)form_factors_2d · transport_matrix_radiosity · high_frequency_patterns · render_transport · separate_direct_global · fringe_multipath_phase_error · predict_fringe_phase_error · micro_phase_decode
*Provenance: lighttransport.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.