laplacian_smooth — 3D `mesh_process` op

• Data kinds: mesh → mesh

• Call: import fullseye as fs; fs.ledger.laplacian_smooth(mesh: 'Sequence', iters: 'int' = 10, lam: 'float' = 0.5) -> 'Mesh' (to call the implementation directly, import mesh_smooth; mesh_smooth.laplacian_smooth(mesh: 'Sequence', iters: 'int' = 10, lam: 'float' = 0.5) -> 'Mesh'; from the registry, ops3d.get("laplacian_smooth"))

Usage

Triangle-mesh smoothing by the umbrella Laplacian. → (verts, faces).

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

各反復で全頂点を `v_i += lam * (mean(隣接 v_j) - v_i)` と更新する。高周波ノイズを

確実に減らす一方、閉曲面では平均曲率流と同様に 内側へ収縮(shrinkage) する

(球は反復とともに縮む)。収縮を避けたい場合は :func:taubin_smooth を使う。

Args:

mesh: (verts (N,3), faces (M,3)[, ...]) のシーケンス。faces は不変。

iters: 反復回数(正の整数)。

lam: 各段の寄せ率、`0 < lam <= 1`(1 で隣接平均へ全寄せ)。

Returns:

(verts (N,3) float64, faces (M,3) int64)。faces は入力を保持。

Raises:

ValueError: メッシュ形状不正・面範囲外・iters/lam が不正(fail-closed)。

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)

• mesh_smooth — py -3.11 examples_3d/mesh_smooth.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 (`mesh_process`)

taubin_smooth · decimate_qem · face_normals · vertex_normals · mesh_area · vertex_curvature · face_areas · mesh_volume

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

laplacian_smooth — 3D mesh_process op