Title:
        Projectable Multivariate Wavelets

Abstract:

We demonstrate that many multivariate wavelets are
projectable wavelets; that is, they
essentially carry the tensor product (separable) structure though
themselves may be non-tensor 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.