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Box Spline Prewavelets of Small Support

โœ Scribed by M.D Buhmann; O Davydov; T.N.T Goodman


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
113 KB
Volume
112
Category
Article
ISSN
0021-9045

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We give a simple formula for the duals of the filters associated with bivariate box spline functions. We show how to construct bivariate non-separable compactly supported biorthogonal wavelets associated with box spline functions which have arbitrarily high regularities.

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Suppose that S is a linear combination of integer translates of a box spline on a 3-direction mesh that is restricted to a bounded region. The paper shows that the surface area of the control net decreases under subdivision and converges linearly to the surface area of S. A lower bound is also given