inside_outside — 3D superquadric op

• Data kinds: points → signal

• Call: import fullseye as fs; fs.ledger.inside_outside(points, a, eps, R=None, t=None) -> 'np.ndarray' (to call the implementation directly, import superquadric; superquadric.inside_outside(points, a, eps, R=None, t=None) -> 'np.ndarray'; from the registry, ops3d.get("inside_outside"))

Usage

The inside-outside function F of a superquadric (surface = 1, inside < 1, outside > 1).

F(X) = (|x/a1|^(2/eps2) + |y/a2|^(2/eps2))^(eps2/eps1) + |z/a3|^(2/eps1). Pose via R, t (X_body = R.T @ (X - t)).

Parameters

points : array_like (N,3)

a : (a1,a2,a3) radii (all positive)

eps : (eps1,eps2) shape exponents (> 0)

R : (3,3) rotation (columns = body axes expressed in world), default = identity

t : (3,) translation (world position of the body centre), default = origin

Returns

np.ndarray, shape (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)

• superquadric_fit — py -3.11 examples_3d/superquadric_fit.py

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

fuse_to_voxel

Same category (superquadric)

fit_superquadric · sample_surface · superquadric_residual

*Provenance: superquadric.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.