curvature_torsion — 3D curve op

• Data kinds: points → pairs

• Call: import curve3d; curve3d.curvature_torsion(curve) (or ops3d.get("curvature_torsion"))

Usage

The curvature κ and torsion τ at each point (a reparameterisation-invariant closed form). → (kappa (N,), tau (N,)).

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)

• space_curve — py -3.11 examples_3d/space_curve.py

• torus_knot_curve — py -3.11 examples_3d/torus_knot_curve.py

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

fuse_to_voxel

Same category (curve)

frenet_frame · arc_length · resample_uniform · fit_spline_curve

*Provenance: curve3d.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.