Smooth reverse Loop and Catmull-Clark subdivision
In this paper we present a new multiresolution technique for general topology surfaces based on reversing subdivision with energy minimization. We first introduce a general reverse subdivision approach that starts from a trial set of biorthogonal multiresolution filters and refines the resulting coarse points using local masks. The refinement step tries to find a good approximation of the fine points while minimizing the local energy of the coarse points in a least-squares sense. This approach is then used to find smooth reverse of the Loop and Catmull-Clark subdivisions. We discuss the advantages of using this technique in various surface editing and synthesis applications. (C) 2011 Elsevier Inc. All rights reserved.
catmull-clark subdivision multiresolution reverse subdivision energy minimization loop subdivision