Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633009 | Applied Mathematics and Computation | 2010 | 12 Pages |
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
Authors
C.V. Beccari, G. Casciola, L. Romani,