Very high quality image restoration by combining wavelets and curvelets

Jean-Luc Starck; David L. Donoho; Emmanuel J. Candes

doi:10.1117/12.449693

5 December 2001 Very high quality image restoration by combining wavelets and curvelets

Jean-Luc Starck, David L. Donoho, Emmanuel J. Candes

Proceedings Volume 4478, Wavelets: Applications in Signal and Image Processing IX; (2001) https://doi.org/10.1117/12.449693
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

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.

Citation Download Citation

Jean-Luc Starck, David L. Donoho, and 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); https://doi.org/10.1117/12.449693

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