TRANSLATION INVARIANT RI-SPLINE WAVELET AND ITS APPLICATION ON DE-NOISING

Zhong Zhang (), Hiroshi Toda, Hisanaga Fujiwara and Fuji Ren
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Zhong Zhang: Department of Production System Engineering, Toyohashi University of Technology, 1-1 Hibarigaoka Tenpaku-cho, Toyohashi 441-8580, Japan
Hiroshi Toda: Faculty of Computer Science and System Engineering, Okayama Prefecture University, 111 Kuboki, 5301 Haga, Soja 719–1197, Japan
Hisanaga Fujiwara: Department of System Engineering, Industrial Technology Center of Okayama, 5301 Haga Okayama-shi, 701-1296, Japan
Fuji Ren: Faculty of Engineering, The University of Tokushima, 2-1 Minamijosanjima, Tokushima 770-8506, Japan

International Journal of Information Technology & Decision Making (IJITDM), 2006, vol. 05, issue 02, 353-378

Abstract: Wavelet Shrinkage using DWT has been widely used in de-noising although DWT has a translation variance problem. In this study, we solve this problem by using the translation invariant DWT. For this purpose, we propose a new complex wavelet, the Real-Imaginary Spline Wavelet (RI-Spline wavelet). We also propose the Coherent Dual-Tree algorithm for the RI-Spline wavelet and extend it to the 2-Dimensional. Then we apply this translation invariant RI-Spline wavelet for translation invariant de-noising. Experimental results show that our method, when applied to ECG data, the medical image and the textile surface inspection can obtain better de-noising results than that of conventional Wavelet Shrinkage.

Keywords: Complex wavelet transform; de-noising; wavelet shrinkage; RI-Spline wavelet; translation invariance; ECG; image (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219622006001976

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