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Proceedings Paper

Very high quality image restoration by combining wavelets and curvelets
Author(s): Jean-Luc Starck; David L. Donoho; Emmanuel J. Candes
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Paper 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.

Paper Details

Date Published: 5 December 2001
PDF: 11 pages
Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); doi: 10.1117/12.449693
Show Author Affiliations
Jean-Luc Starck, CEA-Saclay (France)
David L. Donoho, Stanford Univ. (United States)
Emmanuel J. Candes, California Institute of Technology (United States)

Published in SPIE Proceedings Vol. 4478:
Wavelets: Applications in Signal and Image Processing IX
Andrew F. Laine; Michael A. Unser; Akram Aldroubi, Editor(s)

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