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 | ||||||
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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 | ||||||
DOI: | 10.1117/12.449693 | ||||||
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: | 16 Nov 2021 03:44 |
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