arXiv subjects

Wen-Haw Chen

Publications and source records attributed to Wen-Haw Chen.

2 recordsLinked to original sources

arXiv2010

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

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 $\mathbb{R}^3$. Moreover, the geodesic-like algorithm also provides an efficient approach to simulate the minimal geodesic between two holes on a NURBS surfaces.

cs.CG↗

arXiv2005

Ricci Curvature, Diameter and Fundamental groups

In this note we discuss the fundamental groups and diameters of positively Ricci curved $n$-manifolds. We use a method combining the results about equivarient Hausdorff convergence developed by Fukaya and Yamaguchi with the Ricci version of splitting theorem by Cheeger and Colding to give new information on the topology of compact manifolds with positive Ricci curvature. Moreover, we also obtain a weak Margulis's lemma for manifolds under a lower Ricci curvature bound.

math.DG↗