alpha_shape_mesh — 3D `reconstruct` op

• Data kinds: points → mesh

• Call: import fullseye as fs; fs.ledger.alpha_shape_mesh(points, alpha) (to call the implementation directly, import recon3d; recon3d.alpha_shape_mesh(points, alpha); from the registry, ops3d.get("alpha_shape_mesh"))

Usage

The triangulated surface mesh by alpha shapes (point set → (vertices, faces)).

> The detailed description below is the original text — the summary and the headings are translated.

`alpha_shape_boundary` と同じ境界三角形を、使用頂点だけに詰め直したメッシュとして返す。

voxel を介さず点群から直接張る表面。凹み/穴を保持できるのが marching cubes 系との差別化。

Parameters

----------

points : array_like (N,3)

alpha : float

正の実数(半径しきい値 1/alpha)。

Returns

-------

vertices : numpy.ndarray (V,3) float64

境界に使われた入力点(詰め直し済み)。

faces : numpy.ndarray (F,3) int64

vertices を参照する三角形インデックス。境界が無ければ (0,3)/(0,3)。

Background guides (the physics and conventions behind this op)

• blender_interop — Blender との併用 — 形を作って fullseye で測る(軸・単位・正解データの罠)

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)

• alpha_shape_topology — py -3.11 examples_3d/alpha_shape_topology.py

Ops the type connects to (they accept `mesh` as input)

mesh_to_voxel · mesh_to_points · to_points · fuse_to_voxel · ambient_occlusion · cast_shadow · supersample_mesh · render_beauty

Same category (`reconstruct`)

poisson_lite · alpha_shape_boundary · estimate_alpha

*Provenance: recon3d.py — 3D operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

alpha_shape_mesh — 3D reconstruct op