tps_warp — 3D deform op

• Data kinds: deformation × points → points

• Call: import fullseye as fs; fs.ledger.tps_warp(model, points) (to call the implementation directly, import deform3d; deform3d.tps_warp(model, points); from the registry, ops3d.get("tps_warp"))

Usage

Deform a point set with a TPS model.

Evaluates f(x) = [1,x,y,z]·a + Σ_i w_i·U(‖x − p_i‖).

Arguments:

model: the dict returned by tps_fit.

points: (M,3) (or 1-dimensional of length 3). The points to deform.

Returns:

(M,3) deformed points (if the input is 1-dimensional, returns (3,)).

Exceptions:

ValueError: malformed model or bad shape of points.

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)

• nonrigid_deform — py -3.11 examples_3d/nonrigid_deform.py

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

points_to_voxel · gaussians_to_voxel · estimate_point_normals · to_points · match_points_ncc · match_pca · moment_axes · icp_point2point_3d

Same category (deform)

tps_fit · register_nonrigid · register_cpd_rigid

*Provenance: deform3d.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.