smallest_sphere3 — 3D geometry op

Data kinds: pointsprimitive

Call: import fullseye as fs; fs.ledger.smallest_sphere3(points) -> 'dict' (to call the implementation directly, import measure3d; measure3d.smallest_sphere3(points) -> 'dict'; from the registry, ops3d.get("smallest_sphere3"))

Usage

Minimum enclosing sphere of `(depth, row, col)` points (Welzl's exact

algorithm on the convex hull). Returns `center (cd/cr/cc`) and radius

`r` — the smallest sphere that contains every point. This is the 3-D

`smallest_circle`; its radius is strictly below the AABB-diagonal sphere on

any non-spherical set, and equals the true radius for points on a sphere.

Raises `ValueError` on empty input.

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)

primitive_fitting_3dpy -3.11 examples_3d/primitive_fitting_3d.py

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

fuse_to_voxel · angle_between_lines · angle_between_planes · angle_line_plane · distance_point_plane · distance_point_line · distance_line_line · distance_segment_segment

Same category (geometry)

line_from_2points · plane_from_3points · angle_3points · angle_between_lines · angle_between_planes · angle_line_plane · distance_point_plane · distance_point_line


*Provenance: measure3d.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.