PMID: 15376582Sep 21, 2004Paper

Wavelet thresholding of multivalued images

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Paul Scheunders

Abstract

In this paper, a denoising technique for multivalued images exploiting interband correlations is proposed. A redundant wavelet transform is applied and denoising is applied by thresholding wavelet coefficients. Specific functions of the wavelet coefficients are defined that exploit interscale and/or interband correlation of the signal. Three functions are studied: the square of the wavelet coefficients, products of coefficients at adjacent scales, and products of coefficients from different bands. For these functions, the signal and noise probability density functions (pdf) become more separated. The high signal correlation between bands is exploited by summing these products over all bands, in this way separating noise and signal pdfs even more. The noise pdf of the proposed quantities is derived analytically and from this, a wavelet threshold is derived. The technique is demonstrated to outperform single band wavelet thresholding on multispectral remote sensing images and on multimodal MRI images.

References

Jan 1, 1994·IEEE Transactions on Medical Imaging·T Taxt, A Lundervold
Feb 8, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·J Liu, P Moulin
Feb 12, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·S G ChangM Vetterli
Feb 12, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·S G ChangM Vetterli
Jan 1, 1994·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Y XuJ Lu

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Citations

Nov 5, 2013·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Honghong PengSohail A Dianat
Sep 5, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Nai-Xiang LianYap-Peng Tan
Jul 4, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Paul Scheunders, Steve De Backer
May 12, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Alessandro FoiKaren Egiazarian
Mar 8, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Aleksandra Pizurica, Wilfried Philips
Apr 9, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·F Luisier, T Blu
May 19, 2009·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Samuel MorillasAntonio Hervas
Jan 25, 2011·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Shahzad Ahmad QureshiMuhammad Arif

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