Refinable Function-Based Construction of Weak (Quasi-)Affine Bi-Frames

2014 ◽  
Vol 20 (6) ◽  
pp. 1145-1170 ◽  
Author(s):  
Hui-Fang Jia ◽  
Yun-Zhang Li
Keyword(s):  
Refinable Function

A CLASS OF ORTHOGONAL TWO-DIRECTION REFINABLE FUNCTIONS AND TWO-DIRECTION WAVELETS

2008 ◽  
Vol 06 (06) ◽  
pp. 883-894 ◽  
Author(s):  
SHOUZHI YANG ◽  
CHANGZHEN XIE
Keyword(s):  
Refinable Functions ◽  
Refinable Function

In this paper, an algorithm for constructing a class of orthogonal two-direction refinable functions and the corresponding orthogonal two-direction wavelets is obtained. In addition, the relation of both two-direction refinable functions and multiwavelets is discussed. We discover that Chui–Lian's orthogonal symmetric/antisymmetric multiscaling functions and the corresponding multiwavelets can be recovered by using an orthogonal two-direction refinable function and the corresponding two-direction wavelets, respectively. Finally, some construction examples are given.

scholarly journals Generalized interpolating refinable function vectors

2009 ◽  
Vol 227 (2) ◽  
pp. 254-270 ◽  
Author(s):  
Bin Han ◽  
Soon-Geol Kwon ◽  
Xiaosheng Zhuang
Keyword(s):  
Refinable Function ◽  
Refinable Function Vectors

scholarly journals A SINISTER VIEW OF DILATION EQUATIONS

2005 ◽  
Vol 03 (01) ◽  
pp. 67-77
Author(s):  
DAVID MALONE
Keyword(s):  
Refinable Functions ◽  
Refinable Function ◽  
Compactly Supported ◽  
Rate Of Growth ◽  
Dilation Equation ◽  
Dilation Equations

We present a technique for studying refinable functions which are compactly supported. Refinable functions satisfy dilation equations and this technique focuses on the implications of the dilation equation at the edges of the support of the refinable function. This method is fruitful, producing new results regarding existence, uniqueness, smoothness and rate of growth of refinable functions.

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