A unified framework for interpolating and approximating univariate subdivision

作者：Beccari C V^*; Casciola G; Romani L

来源：Applied Mathematics and Computation, 2010, 216(4): 1169-1180.

DOI：10.1016/j.amc.2010.02.009

• Uniform univariate subdivision
• Interpolation
• Approximation
• Generating function
• Link Polynomial Factorization (LPF)

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.

• 出版日期2010-4-15