Open AccessConstruction of Compactly Supported Refinable Componentwise Polynomial Functions inℝ2
Author(s) -
Yanmei Xue,
Ning Bi
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/321428
Subject(s) - mathematics , polynomial , class (philosophy) , combinatorics , algorithm , discrete mathematics , mathematical analysis , computer science , artificial intelligence
We provide a sufficient condition for constructing a class ofcompactly 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 the symmetric refinable componentwise polynomial functions are given
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