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Image enhancement by nonlinear wavelet pro cessing
J E Odegard
Department of Electrical and Computer Engineering MS
Rice University Houston TX
email o degardriceedu w httpjazzriceedu
Abstract
In this pap er we describ e how the theory of wavelet thresholding intro duced by Donoho
and Johnstone can successfully b e applied to two distinct problems in image pro cessing where
traditional linear ltering techniques are insucient The rst application is related to sp eckle
reduction in coherent imaging systems We show that the prop osed metho d works well for
reducing sp eckle in SAR images while maintaining bright reections for subsequent pro cessing
and detection Secondly we apply the wavelet based metho d for reducing blo cking artifacts
asso ciated with most DCT based image co ders eg most notably the Joint Photographic
Exp erts Group JPEG standard at high compression ratios In particular we demonstrate an
algorithm for p ostpro cessing deco ded images without the need for a novel co derdeco der By
applying this algorithm we are able to obtain p erceptually sup erior images at high compression
ratios using the JPEG co ding standard For b oth applications we h ave develop ed metho ds
for estimating the required threshold parameter and we h ave applied these to large numb er of
images to study the eect of the wavelet thresholding Our main goal with this pap er is to
illustrate how the recent theory of wavelet denoising can b e applied to a wide range of practical
problems which do es not necessarily satisfy all the assumptions of the develop ed theory
Intro duction
Recent developments in wavelet theory
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