angle_between_planes — 3D geometry op

• Data kinds: primitive → measurement

• Call: import fullseye as fs; fs.ledger.angle_between_planes(n1, n2) (to call the implementation directly, import match3d; match3d.angle_between_planes(n1, n2); from the registry, ops3d.get("angle_between_planes"))

Usage

The dihedral angle between two planes (normals n1, n2; in degrees).

> The detailed description below is the original text — the summary and the headings are translated.

法線同士の角 `arccos(|n̂1·n̂2|)` を度で返す(float)。絶対値を取るので [0, 90] の鋭角側

(法線の向きに依らない。鈍角側が要るなら `180 −)。0 = 平行、90 = 直交。n1, n2` は

数値の 2 または 3 ベクトル(長さは問わない)、次元の混在は ValueError。零ベクトルは 90 が返る。

用途: `fit_plane_3d / hough_plane_3d で取った 2 面の平行度・直角度、intersect_planes`

の前の平行判定。

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_line_plane · 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.