fullseye

minimal_surface_bend — 3D surface op

• データ種: なし → mesh(引数だけで決まる op —— 画像やデータの入力を取らない)
• 呼び出し: import fullseye as fs; fs.ledger.minimal_surface_bend(t=0.0, nu=80, nv=120, extent=1.5, scale=1.0) (実装を直接呼ぶなら import render3d; render3d.minimal_surface_bend(t=0.0, nu=80, nv=120, extent=1.5, scale=1.0)、台帳から引くなら ops3d.get("minimal_surface_bend"))

使い方

The catenoid-helicoid bend — every member of the family is still minimal.

The associate family cos(t) * helicoid + sin(t) * catenoid (in the Weierstrass sense) deforms one into the other without stretching: the surfaces are isometric at every t, and every one of them is minimal. t = 0 is the helicoid, t = pi/2 the catenoid.

★Why this earns its place: it turns “minimal” from a property of two named surfaces into a one-parameter claim that must hold throughout. If an implementation is only accidentally right at the endpoints, the middle of the family exposes it — and the intrinsic geometry (first fundamental form) must not change along the way, which is a second, independent check.

Returns a mesh.

Raises ValueError: the same shape/scale contracts as :func:minimal_surface; a non-finite t.

参考(サンプルデータ・文献)

• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。
• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

• minimal_surfaces — py -3.11 examples_3d/minimal_surfaces.py

型が繋がる次の op(mesh を入力に取れる)

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

同カテゴリ(surface)

minimal_surface · gyroid_isosurface · gyroid_solid_mask · curve3d_tube_mesh

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Provenance: render3d.py — 3D operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。

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

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