Title :
2-dimensional translation invariant RI-spline wavelet and its application
Author :
Zhang, Zhong ; Horihata, Satoshi ; Miyake, Tetsuo ; Toda, Hiroshi
Author_Institution :
Dept. of Production Syst. Eng., Toyohashi Univ. of Technol., Japan
Abstract :
We propose a 2-dimensional translation invariant real-imaginary spline wavelet (RI-spline wavelet) and develop a 2-dimensional complex discrete wavelet transform (2D CDWT). The main results obtained can be summarized as follows: (1) the problem of 2D translation variance which is caused by the DWT using a real mother wavelet can be solved by using the 2D RI-spline wavelet; (2) the 2D RI-spline wavelet is applied to image processing, and encouraging results are obtained.
Keywords :
discrete wavelet transforms; image processing; splines (mathematics); 2-dimensional complex discrete wavelet transform; 2-dimensional translation invariant real-imaginary spline wavelet; 2D translation variance; DWT; image processing; real mother wavelet; Discrete wavelet transforms; Interpolation; Spline; Wavelet coefficients;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on
Print_ISBN :
0-7803-8874-7
DOI :
10.1109/ICASSP.2005.1416063