论文信息 - A new approach to interpolating scaling functions

A new approach to interpolating scaling functions

We present a new method to construct interpolating refinable functions in higher dimensions. The approach is based on the solutions to specific Lagrange interpolation problems by polynomials and applies to a large class of scaling matrices. The resulting scaling functions automatically satisfy certain Strang-Fix conditions. Several examples are discussed.

K. Gröchenig | P. Maass | S. Dahlke

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