Progressive compressed sensing and reconstruction of multidimensional signals using hybrid transform/prediction sparsity model

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. Hence, CS can be thought of as a natural candidate for acquisition of mul- tidimensional signals, as the amount of data acquired and processed by conventional sensors could create problems in terms of computational complexity. In this paper we develop an approach for CS reconstruction of multidimen- sional correlated signals. The approach is general and can be applied to D dimensional signals, even if the algorithms we propose apply to 2D and 3D signals. The proposed algorithms employ iterative local signal reconstruction based on a hybrid transform/prediction correlation model, coupled with a proper initialization strategy.