English

Trimmed Spline Surfaces with Accurate Boundary Control

Graphics 2021-03-16 v2 Computational Geometry

Abstract

We introduce trimmed NURBS surfaces with accurate boundary control, briefly called ABC-surfaces, as a solution to the notorious problem of constructing watertight or smooth (G1G^1 and G2)G^2) multi-patch surfaces within the function range of standard CAD/CAM systems and the associated file exchange formats. Our construction is based on the appropriate blend of a base surface, which traces out the intended global shape, and a series of reparametrized ribbons, which dominate the shape near the boundary.

Keywords

Cite

@article{arxiv.2009.02480,
  title  = {Trimmed Spline Surfaces with Accurate Boundary Control},
  author = {Florian Martin and Ulrich Reif},
  journal= {arXiv preprint arXiv:2009.02480},
  year   = {2021}
}
R2 v1 2026-06-23T18:19:54.498Z