Automatic Generation of Multiresolution Boundary Representations

Abstract

Abstract The paper focuses on automatic simplification algorithms for the generation of a multiresolution family of solid models from an initial boundary representation of a polyhedral solid. An algorithm for general polyhedra based on an intermediate octree representation is proposed. Simplified elements of the multiresolution family approximate the initial solid within increasing tolerances. A discussion among different octree‐based simplification methods and the standard marching cubes algorithm is presented.