English, Article edition: TRANSLATION INVARIANT RI-SPLINE WAVELET AND ITS APPLICATION ON DE-NOISING ZHONG ZHANG; HIROSHI TODA; HISANAGA FUJIWARA; ...

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Bookmark: http://trove.nla.gov.au/version/36432
Physical Description
  • article
Language
  • English

Edition details

Title
  • TRANSLATION INVARIANT RI-SPLINE WAVELET AND ITS APPLICATION ON DE-NOISING
Author
  • ZHONG ZHANG
  • HIROSHI TODA
  • HISANAGA FUJIWARA
  • FUJI REN
Physical Description
  • article
Notes
  • 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.
  • Complex wavelet transform, de-noising, wavelet shrinkage, RI-Spline wavelet, translation invariance, ECG, image
  • RePEc:wsi:ijitdm:v:05:y:2006:i:02:p:353-378
Language
  • English
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