Article ID Journal Published Year Pages File Type
4633009 Applied Mathematics and Computation 2010 12 Pages PDF
Abstract

In this paper we show that the refinement rules of interpolating and approximating univariate subdivision schemes with odd-width masks of finite support can be derived ones from the others by simple operations on the mask coefficients. These operations are formalized as multiplication/division of the associated generating functions by a proper link polynomial.We then apply the proposed result to some families of stationary and non-stationary subdivision schemes, showing that it also provides a constructive method for the definition of novel refinement algorithms.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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