Sampling Algorithms for Multivariate Wavelets

This paper briefly introduced wavelets and Wavelets Analysis first, pointed out that the research significance. Then to the multivariate wavelets, we explained the principle of processing the general problem, analyzed the tensor product bivariate orthogonal wavelets and Mallat algorithms. Then we researched sampling algorithms, the approximate calculation lemma was foundation. We deduced the approximate calculation formula of wavelets coefficients based on univariate wavelets sampling algorithms and then got the sampling algorithms for bivariate wavelets. Finally algorithms were used in image processing. We gave a reasonable function and drawn the figure, took N=3. After denoising noise with the algorithms we obtained the outline and detail of it, the effect was wonderful. It further explained the theory research of our algorithms was correct and effective.