Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2

We provide a sufficient condition for constructing a class of compactly supported refinable functions with componentwise polynomial property in ℝ2. An iteration algorithm is developed to compute the polynomial on each component of the functions' support. Finally, two examples for constructing t...

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Bibliographic Details
Main Authors: Yanmei Xue, Ning Bi
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/321428
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