Loop细分小波紧框架对三维图形压缩的应用

在基于Loop细分小波紧框架多分辨率分析理论的基础上, 推导了Loop细分小波紧框架的分解和重构公式, 用这些公式实现了多分辨率曲面的构造并将其应用到三维网格图形的压缩中. 通过与双正交Loop细分小波算法的比较, 表明基于Loop细分小波紧框架的多分辨率分析算法具有较好的压缩效果. 由于通常的输入网格不具有细分连通性, 而基于细分曲面的多分辨率分析算法要求它所处理的网格具有这种连通性, 所以特别提出一种构造既能逼近输入网格又具有细分连通性网格的简捷算法.

Application of Loop Subdivision Wavelet Frames to the Compression of 3D Graphics

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 surfa...