English

Computation of the shortest path between two curves on a parametric surface by geodesic-like method

Computational Geometry 2010-11-25 v1 Numerical Analysis

Abstract

In this paper, we present the geodesic-like algorithm for the computation of the shortest path between two objects on NURBS surfaces and periodic surfaces. This method can improve the distance problem not only on surfaces but in R3\mathbb{R}^3. Moreover, the geodesic-like algorithm also provides an efficient approach to simulate the minimal geodesic between two holes on a NURBS surfaces.

Keywords

Cite

@article{arxiv.1011.5320,
  title  = {Computation of the shortest path between two curves on a parametric surface by geodesic-like method},
  author = {Wen-Haw Chen and Sheng-Gwo Chen},
  journal= {arXiv preprint arXiv:1011.5320},
  year   = {2010}
}

Comments

11 pages, 10 figures

R2 v1 2026-06-21T16:48:19.607Z