optics op• Data kinds: vector × vector → vector
• Call: import fullseye as fs; fs.ledger.normal_from_reflection(incident, reflected) (to call the implementation directly, import match3d; match3d.normal_from_reflection(incident, reflected); from the registry, ops3d.get("normal_from_reflection"))
Recover a mirror surface's normal from the incident and reflected rays (deflectometry). n ∝ (r − d), pointing against the incident ray.
Observe the reflection of a known pattern → surface normal → integrate into the specular shape. The key to shape measurement of specular (reflective) objects.
Normalises incident (incident direction toward the surface) and reflected (reflected direction leaving the surface), and returns n = unit(r − d) with its sign chosen so that n·d <= 0 (against the incidence = outward on the incident side) (a unit vector). If r == d, the zero vector. The last axis is taken as the vector, so an (N,3) batch also goes through (the sign is decided only 1 time, from the sum of the dot products over the whole batch).
Uses: build normals per pixel from the reflection image of a known pattern (a normal map), integrate them into height with integrate_normals, reproduce the appearance with render_shaded, cross-check with reflect.
• 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.
• sensor_seg — py -3.11 examples_3d/sensor_seg.py
vector as input)fuse_to_voxel · reflect · refract · cast_shadow · shadow_raycast · carve_look_at · sample_surface
optics)reflect · refract · fresnel_reflectance · snell_angle
*Provenance: match3d.py — 3D 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.