Article ID Journal Published Year Pages File Type
472268 Computers & Mathematics with Applications 2009 9 Pages PDF
Abstract

The concept of two-direction poly-scale refinable functions with dilation factor aa and shift invariant spaces is introduced. The existence of solutions of two-direction poly-scale refinable equations is investigated. In particular, a necessary and sufficient condition for the orthonormality of the solutions is established. Some properties of two-direction poly-scale refinable functions are discussed. Finally, two examples of two-direction poly-scale refinable functions are given.

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Physical Sciences and Engineering Computer Science Computer Science (General)
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