Abstract:

Through the study of the newly proposed theory of multiresolution analysis based on subdivision wavelet tight frames, we gave the decomposition and reconstruction formulas of Loop subdivision wavelet frames in detail. Then we implemented the algorithm and applied it to the compression of 3D graphics. By comparing it with the biorthogonal Loop subdivision wavelets of M. Bertram, the numerical results illustrate the good performance of the new technique. Since the multiresolution analysis based on subdivision surface requires the input mesh processed to be semiregular, thus we firstly proposed a new rapid algorithm of constructing the meshes which not only have subdivision connectivity but also approximate to the input mesh.

Key words: multiresolution analysis, subdivision wavelet, subdivision wavelet tight frames, compression of 3D graphics