Abstract

Polyhedral meshes are used for visualization, computer graphics or geometric modeling purposes and result from many applications like iso-surface extraction, surface reconstruction or CAD/CAM. The present paper introduces a method for constructing smooth surfaces from a triangulated polyhedral mesh of arbitrary topology. It presents a new algorithm which generalizes and improves the triangle 4-split method [7] in the crucial point of boundary curve network construction. This network is then filled-in by a visual smooth surface from which an explicit closed form parametrization is given. Furthermore, the method becomes now completely local and can interpolate normal vector input at the mesh vertices. Keywords and phrases: triangular meshes, visual continuity, arbitrary topology, visualization. 1 INTRODUCTION Polyhedral meshes consisting of a collection of vertices, edges and triangular faces which describe an oriented 2-manifold in IR 3 are dealt with in many applications. They resu...

Citations