Improved TV-CS Approaches for Inverse Scattering Problem.
Total Variation and Compressive Sensing (TV-CS) techniques represent a very attractive approach to inverse scattering problems. In fact, if the unknown is piecewise constant and so has a sparse gradient, TV-CS approaches allow us to achieve optimal reconstructions, reducing considerably the number of measurements and enforcing the sparsity on the gradient of the sought unknowns. In this paper, we introduce two different techniques based on TV-CS that exploit in a different manner the concept of gradient in order to improve the solution of the inverse scattering problems obtained by TV-CS approach. Numerical examples are addressed to show the effectiveness of the method.
University Mediterranea of Reggio Calabria, Via Graziella, Località Feo di Vito, 89124 Reggio di Calabria, Italy.
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Bevacqua
University of Catania, Viale Andrea Doria 6, 95126 Catania, Italy.
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Di Donato