About Surface Remeshing.
Pascal Frey · 2000
In this paper, we present a general scheme suitable to optimize an arbitrary given surface triangulation representing a piecewise linear approximation of an underlying surface geometry. The proposed approach is based on two steps related to i) the extraction of a geometric mesh (based on a simplification procedure), ii) the optimization of this mesh with respect to the model geometry as well as to the element shape quality (for finite element computations). This last stage involves the creation of a geometric (G 1 continuous) support that defines an adequate approximation of the underlying surface and the definition of a geometric (curvature-based) metric. Details about the construction of the metric and the definition of a proper simplification "enveloppe" are provided. Examples of surface mesh simplification are given to illustrate the various stages of the proposed approach. Keywords: Surface remeshing, Triangulation, Hausdorff distance, Decimation, Mesh adaptation. 1. INTRODUCTI...