Shape Interpolation with Multiresolution Analysis

This paper presents a novel approach for shape interpo-lation in 3D morphing with irregular meshes. We assume that the metameshes of the source and target meshes are given. The basic idea is that the multiresolution analysis of metameshes with detail encoding helps to generate nat-ural in-between meshes. We construct mesh hierarchies by simplifying the given metameshes to the base meshes with the error metric reflecting both the source and target geom-etry. The geometric differences between successive levels in the hierarchies are encoded as details represented in local frames. An in-between mesh is synthesized by adding up the blended details to the interpolated base mesh. Exper-imental results demonstrate that the generated in-between meshes have reasonable blended shapes of the source and target meshes