DocumentCode
3020047
Title
Explicit construction of vivariate wavelet tight frames with special dilation matrix
Author
Huang, Yong-Dong ; Yang, Miao ; Zhao, Ying-Min ; Cheng, Zheng-Xing
Author_Institution
Inst. of Inf. & Syst. Sci., North Univ. for Nat., Yinchuan, China
fYear
2009
fDate
12-15 July 2009
Firstpage
329
Lastpage
334
Abstract
This paper studies bivariate wavelet tight frames with antidiagonal dilation matrix. The wavelet tight frames is formed by n functions in V1.First, the paper presents sufficient conditions of bivariate wavelet tight frames, and gives explicit constructing formula of bivariate wavelet tight frames. Second, derives the decomposition and reconstruction algorithm of bivariate wavelet tight frames. Finally, gives examples of bivariate wavelet tight frames.
Keywords
matrix decomposition; signal reconstruction; wavelet transforms; antidiagonal dilation matrix; bivariate wavelet tight frames; decomposition algorithm; reconstruction algorithm; signal reconstruction; sufficient conditions; Pattern analysis; Pattern recognition; Wavelet analysis; bivariate wavelet tight frames; decomposition; frames multiresolution analysis; reconstruction;
fLanguage
English
Publisher
ieee
Conference_Titel
Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on
Conference_Location
Baoding
Print_ISBN
978-1-4244-3728-3
Electronic_ISBN
978-1-4244-3729-0
Type
conf
DOI
10.1109/ICWAPR.2009.5207446
Filename
5207446
Link To Document