Multiresolution analyses originated from nonstationary subdivision schemes

[摘要] We analyze the properties of a new class of totally positive refinable functions obtained from nonstationary subdivision schemes. We show that the corresponding system of the integer translates is linearly independent, satisfies a Whitney-Schoenberg condition, reproduces polynomials up to a certain degree and generates a multiresolution analysis. Finally, pre-wavelets and bases on the interval are constructed. (C) 2008 Published by Elsevier B.V.

[发布日期] 2008-11-15

[效力级别]  Proceedings Paper

[关键词] Total positivity;Subdivision schemes;Multiresolution analysis