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Very high quality image restoration by combining wavelets and curvelets

Starck, J.-L. and Donoho, D. L. and Candès, E. J. (2001) Very high quality image restoration by combining wavelets and curvelets. In: Wavelets: Applications in Signal and Image Processing IX. Proceedings of SPIE. No.4478. Society of Photo-optical Instrumentation Engineers (SPIE) , Bellingham, WA, pp. 9-19. ISBN 9780819441928. https://resolver.caltech.edu/CaltechAUTHORS:20181213-143630686

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Abstract

We outline digital implementations of two newly developed multiscale representation systems, namely, the ridgelet and curvelet transforms. We apply these digital transforms to the problem of restoring an image from noisy data and compare our results with those obtained via well established methods based on the thresholding of wavelet coefficients. We develop a methodology to combine wavelets together these new systems to perform noise removal by exploiting all these systems simultaneously. The results of the combined reconstruction exhibits clear advantages over any individual system alone. For example, the residual error contains essentially no visually intelligible structure: no structure is lost in the reconstruction.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1117/12.449693DOIArticle
ORCID:
AuthorORCID
Donoho, D. L.0000-0003-1830-710X
Candès, E. J.0000-0001-9234-924X
Additional Information:© 2001 Society of Photo-Optical Instrumentation Engineers (SPIE).
Subject Keywords:Wavelet, ridgelet, curvelet, multiscale methods, filtering, image restoration
Series Name:Proceedings of SPIE
Issue or Number:4478
Record Number:CaltechAUTHORS:20181213-143630686
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20181213-143630686
Official Citation:Jean-Luc Starck, David L. Donoho, Emmanuel J. Candes, "Very high quality image restoration by combining wavelets and curvelets," Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); doi: 10.1117/12.449693
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:91794
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:19 Dec 2018 23:47
Last Modified:03 Oct 2019 20:38

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