scholarly journals Vector cascade algorithms and refinable function vectors in Sobolev spaces

2003 ◽  
Vol 124 (1) ◽  
pp. 44-88 ◽  
Author(s):  
Bin Han
Keyword(s):  
Sobolev Spaces ◽  
Refinable Function ◽  
Cascade Algorithms ◽  
Refinable Function Vectors

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

A CONSTRUCTION OF CONVERGENT CASCADE ALGORITHMS IN SOBOLEV SPACES

2007 ◽  
Vol 05 (05) ◽  
pp. 685-697 ◽  
Author(s):  
DI-RONG CHEN
Keyword(s):  
Computer Graphics ◽  
Sobolev Space ◽  
Wavelet Analysis ◽  
Sobolev Spaces ◽  
Mild Condition ◽  
Time Domain ◽  
Sufficient Condition ◽  
Cascade Algorithms ◽  
The Time Domain

Cascade algorithms play an important role in wavelet analysis and computer graphics. The paper considers the convergence of cascade algorithms in Sobolev spaces. With the help of the factorization of matrix masks, we give a sufficient condition for the convergence. The condition is expressed in the time domain. More importantly, an algorithm for the construction of convergent cascade algorithms in Sobolev space starting from any matrix mask satisfying a mild condition is presented. Examples are given to illustrate our theorems.

Convergence of cascade algorithms in Sobolev spaces and integrals of wavelets

2002 ◽  
Vol 91 (3) ◽  
pp. 453-473 ◽  
Author(s):  
Rong-Qing Jia ◽  
Qingtang Jiang ◽  
S.L. Lee
Keyword(s):  
Sobolev Spaces ◽  
Cascade Algorithms
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