The subdivision wavelet transform with local shape control

Abstract

In this paper, we present a method to construct the efficient wavelet transform based on the matrix-valued Loop subdivision. The new wavelet transforms inherits the advantages of the matrix-valued subdivision and offers the good shape preserving ability. By adopting the local lifting scheme, it is efficient and uses less memory. Our experiments showed that the proposed wavelet transform is sufficiently stable and the fitting quality of resulted surfaces is good.