Curvelets and Fourier Integral Operators

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Abstract

A recent body of work introduced new tight-frames of curvelets E. Candès, D. Donoho, in: (i) Curvelets - a suprisingly effective nonadaptive representation for objects with edges (A. Cohen, C. Rabut, L. Schumaker (Eds.)), Vanderbilt University Press, Nashville, 2000, pp. 105-120; (ii) http://www.acm.caltech.edu/~emmanuel/publications.html, 2002 to address key problems in approximation theory and image processing. This paper shows that curvelets essentially provide optimally sparse representations of Fourier Integral Operators. © 2003 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

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Candès, E., & Demanet, L. (2003). Curvelets and Fourier Integral Operators. Comptes Rendus Mathematique, 336(5), 395–398. https://doi.org/10.1016/S1631-073X(03)00095-5

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