Normal Meshes for Multiresolution Analysis of Irregular Meshes with Boundaries

Abstract

In this paper we present a remeshing algorithm for irregular meshes with boundaries. The irregular meshes are approximated by regular meshes that have topological regularity, which is essential for the multiresolution analysis of the given irregular meshes. Normal meshes are used to reduce the necessary data size at each resolution level of the regularized meshes. The normal mesh uses one scalar value, i. e., normal offset value that is calculated by the regular rule of a uniform subdivision and normal sampling, while other remeshing schemes use one 3D vector at each vertex. Since the normal offset cannot be adopted for the boundaries of meshes, we use a combined subdivision scheme that resolves the problem of the proposed normal offset method at the boundaries. Lastly, an example showing the effectiveness of the proposed scheme to reduce the data size of a mesh model is included.