Refinement masks of Hurwitz type in the cardinal interpolation problem

Abstract

We analyse the properties of a particular class of symmetric, compactly supported, totally positive refinable functions. We show that these refinable functions can be used in the generalized cardinal interpolation problem for which there exists a unique exceptional value which can be evaluated exactly. Some numerical examples concerning interpolation and construction of semi-orthogonal wavelets by means of these refinable functions are displayed.

Keywords

• cardinal interpolation
• refinable functions
• wavelets