Using Most Isometric Parametrizations for Remeshing Polygonal Surfaces

Authors:
Ulf Labsik;Kai Hormann;Guenther Greiner
Affiliations:
-;-;-
Venue:
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Year:
2000

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Abstract

The importance of triangle meshes with a special kind of connectivity, the so-called subdivision connectivity is still growing. Therefore it is important to develop efficient algorithms for converting a given mesh with arbitrary connectivity into one with subdivision connectivity. In this paper we have focused on 2-manifold triangle meshes with boundary and no holes. We discuss the importance of a parametrization with minimal distortion for the process of remeshing. Based on the concept of most isometric parametrizations we have developed a remeshing algorithm for the given class of triangle meshes. A series of examples shows the advantages of our approach.