vertex_normals — 3D `mesh_process` op

• Data kinds: mesh → normals

• Call: import fullseye as fs; fs.ledger.vertex_normals(mesh) -> 'np.ndarray' (to call the implementation directly, import mesh_props; mesh_props.vertex_normals(mesh) -> 'np.ndarray'; from the registry, ops3d.get("vertex_normals"))

Usage

The vertex normals of a triangle mesh (unit normals aggregated with area weights). → (N,3).

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

各三角形の外積ベクトル(=面法線×2·面積)を、その 3 頂点へ散布加算し、頂点ごとに正規化する。

大きい(重要な)面ほど寄与が大きい面積重み付き平均になり、向きは面の巻き順から一貫する。

`normals_orient.estimate_normals`(点群 PCA・符号未定)と違い、追加の向き付け工程は不要。

Args:

mesh: (vertices (N,3), faces (M,3)) のタプル。

Returns:

(N,3) の単位頂点法線。

Raises:

ValueError: 形状不正・範囲外 index、または法線が定義できない頂点(入射面が無い/

寄与が相殺してゼロ)があるとき。

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_props — py -3.11 examples_3d/mesh_props.py

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

icp_point2plane · compute_fpfh · shot_descriptor · fuse_to_voxel · reflect · refract · normal_consistency · ransac_cylinder

Same category (`mesh_process`)

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

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

vertex_normals — 3D mesh_process op