Variational methods for compressive sampling

Justin Romberg

doi:10.1117/12.715427

28 February 2007 Variational methods for compressive sampling

Justin Romberg

Proceedings Volume 6498, Computational Imaging V; 64980J (2007) https://doi.org/10.1117/12.715427
Event: Electronic Imaging 2007, 2007, San Jose, CA, United States

Abstract

We consider two natural extensions of the standard (lower case script "L")₁ minimization framework for compressive sampling. The two methods, one based on penalizing second-order derivatives and one based on the redundant wavelet transform, can also be viewed as variational methods which extend the basic total-variation recovery program. A numerical example illustrates that these methods tend to produce smoother images than the standard recovery programs.

Citation Download Citation

Justin Romberg "Variational methods for compressive sampling", Proc. SPIE 6498, Computational Imaging V, 64980J (28 February 2007); https://doi.org/10.1117/12.715427

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