Efficient surface triangulation using the Gauss map

Abstract

The purpose of this paper is to show how to use the Gauss map to produce efficient triangulations of parametric surfaces. The central idea is to invert canonical triangulations of the sphere using the Gauss map. The main problem is that the inverse of the Gauss map is not in general well defined. We show how to overcome this problem and formulate an algorithm to generate the desired triangulation.

Keywords:

• efficient
• surface triangulation
• curvature
• parametric surface
• computer graphics

2010 AMS Subject Classifications:

• 53A05
• 65K10
• 68U05
• 68U07

2010 AMS Subject Classifications :

• 15A24
• 65F10