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
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;
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
DOI :
10.1109/ICWAPR.2009.5207446
