Multiresolution signal processing for meshes

摘要

We generalize basic signal processing tools ushc as downsampling,upsampling,and filters to irregular ocnnectivity triangle meshes.This is accomplished through the design of a non-uniform relaxation procedure whose weights depend on hte geometry and we show its supeiroity over sexisting schemes whose weights depend only on connectivity.This is ocmbined with known mesh simplification methods to build subdivision and pyramid algorihtms.We demonstrate the power of these algorithms through a number of application expampelx including smoothing,enhancement,editing,and texture mapping.