angle_line_plane — 3D geometry op

• Data kinds: primitive → measurement

• Call: import fullseye as fs; fs.ledger.angle_line_plane(d, n) (to call the implementation directly, import match3d; match3d.angle_line_plane(d, n); from the registry, ops3d.get("angle_line_plane"))

Usage

The angle between a line (direction d) and a plane (normal n), in degrees.

Returns 90 − arccos(|d̂·n̂|) in degrees (float). The value is in [0, 90]; 0 = the line is parallel to the plane, 90 = perpendicular. d, n are numeric 2- or 3-vectors (length does not matter); mixed dimensions raise ValueError. A zero vector returns 0.

Uses: perpendicularity of a hole axis to a datum plane, the parallel check before intersect_line_plane (near 0 the intersection flies far away).

References (sample data, literature)

• 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.

Runnable examples (verified samples that actually call this op)

• geometry_metrology — py -3.11 examples_3d/geometry_metrology.py

Ops the type connects to (they accept measurement as input)

vol_gaussian_psf · fuse_to_voxel · fresnel_reflectance · snell_angle

Same category (geometry)

line_from_2points · plane_from_3points · angle_3points · angle_between_lines · angle_between_planes · distance_point_plane · distance_point_line · distance_line_line

*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.