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Compressive sampling

Published in Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006 • May 15, 2007
NobleIDNI3P71W99R83S09
Authors:
Emmanuel J. Candès

Abstract

Conventional wisdom and common practice in acquisition and reconstruction of images from frequency data follow the basic principle of the Nyquist density sampling theory. This principle states that to reconstruct an image, the number of Fourier samples we need to acquire must match the desired resol...

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