intersect_line_plane — 3D geometry op

• Data kinds: primitive → position

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

Usage

Line ∩ plane → a point (None when they are parallel).

Returns line_pt + t·d with t = ((plane_pt − line_pt)·n̂)/(d·n̂) (float array). d is not normalised (t is in units of the length of d). If |d·n̂| < 1e-9 it returns None (not an exception; check for None before using the return value). A line lying in the plane (distance 0 and parallel) also gives None. Arguments are numeric 2- or 3- vectors; mixed dimensions raise ValueError. In 2-D, n is taken as the line's normal and the result is a line-line intersection.

Uses: intersection of a line of sight (point of depth_to_points − origin) with the plane of fit_plane_3d; a ray against a reference plane.

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 position as input)

refine_peak_newton · refine_translation_lk · refine_lm · fuse_to_voxel

Same category (geometry)

line_from_2points · plane_from_3points · angle_3points · angle_between_lines · angle_between_planes · angle_line_plane · distance_point_plane · distance_point_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.