gaussian_curvature — 3D curvature op

• Data kinds: points → signal

• Call: import curvature3d; curvature3d.gaussian_curvature(points, k=25) (or ops3d.get("gaussian_curvature"))

Usage

Gaussian curvature K = k1·k2 (invariant to flipping the normal). → (N,).

Background guides (the physics and conventions behind this op)

• blas_threads_and_memory — 行列分解が遅い理由の知識 — BLAS スレッド・キャッシュ・メモリ配置

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)

• curvature_grasp — py -3.11 examples_3d/curvature_grasp.py

• curvature_shape_index — py -3.11 examples_3d/curvature_shape_index.py

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

fuse_to_voxel

Same category (curvature)

principal_curvatures · mean_curvature · shape_index · estimate_normals

*Provenance: curvature3d.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.