surface op• 数据种类:无 → mesh(仅由参数决定的算子 —— 不接受图像或数据输入)
• 调用: import fullseye as fs; fs.ledger.minimal_surface_bend(t=0.0, nu=80, nv=120, extent=1.5, scale=1.0)(要直接调用实现,import render3d; render3d.minimal_surface_bend(t=0.0, nu=80, nv=120, extent=1.5, scale=1.0);从台账取用则 ops3d.get("minimal_surface_bend"))
悬链面 ⇄ 螺旋面的弯折 —— 族中每一个仍然是极小曲面。
> 以下的详细说明为原文 —— 摘要与标题已翻译。
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 minimal_surface; a non-finite t.
• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。
• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。
• minimal_surfaces — py -3.11 examples_3d/minimal_surfaces.py
mesh 作为输入)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 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.