Projectable Multivariate Wavelets
Bin Han · 2001
: We demonstrate that many multivariate wavelets are projectable wavelets; that is, they essentially carry the tensor product (separable) structure though themselves may be nontensor product (nonseparable) wavelets. We show that a projectable wavelet can be replaced by a tensor product wavelet without loss of desirable properties such as spatial localization, smoothness and vanishing moments. Key words: Projectable wavelets, tensor product wavelets, dilation matrix, sum rules. 2000 AMS subject classification: 42C40, 42C15, 41A05, 41A63. 1 1