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"))
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`.
• 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。
• minimal_surfaces — py -3.11 examples_3d/minimal_surfaces.py
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
surface)minimal_surface · gyroid_isosurface · gyroid_solid_mask · curve3d_tube_mesh
*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.