The Projection Method in Wavelet Analysis
نویسندگان
چکیده
A simple way of obtaining multivariate wavelets is the tensor product of univariate wavelets. Multivariate wavelets are of interest in both theory and application. In this paper, we study the projection method, an inverse operation in some sense to the tensor product method, to investigate various properties of multivariate refinable function vectors and multivariate multiwavelets. To illustrate the projection method, we provide analysis for the optimal (in terms of smoothness) bivariate interpolatory Hermite subdivision schemes whose masks are supported inside [−1, 1]. Using the projection method, for any dilation matrix, we are able to construct orthogonal scalar masks and interpolatory scalar masks painlessly with arbitrarily high orders of sum rules. §
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