taubin_smooth — 3D mesh_process op

Data kinds: meshmesh

Call: import fullseye as fs; fs.ledger.taubin_smooth(mesh: 'Sequence', iters: 'int' = 10, lam: 'float' = 0.33, mu: 'float' = -0.34) -> 'Mesh' (to call the implementation directly, import mesh_smooth; mesh_smooth.taubin_smooth(mesh: 'Sequence', iters: 'int' = 10, lam: 'float' = 0.33, mu: 'float' = -0.34) -> 'Mesh'; from the registry, ops3d.get("taubin_smooth"))

Usage

Non-shrinking smoothing by the Taubin λ|μ filter. → (verts, faces).

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

各反復で「正の `lam で寄せる段」→「負の mu` で押し戻す段」を続けて掛ける。

`|mu| > lam` とすることで低周波(全体形状)を通し高周波(ノイズ)だけを減衰させる

帯域通過フィルタになり、Laplacian の収縮アーティファクトを打ち消す(球の平均半径が

ほぼ保たれる)。既定 `lam=0.33, mu=-0.34` は Taubin (1995) の推奨に近い。

Args:

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

iters: λ|μ ペアの反復回数(正の整数)。

lam: 寄せ段の係数、`0 < lam < 1`。

mu: 押し戻し段の係数、`mu < 0 かつ |mu| > lam`(収縮を打ち消す条件)。

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/mu 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_smoothpy -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)

laplacian_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).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.