Fundamentals of models and sampling in undersampled acquisitions

Researchers: Ben Adcock (Simon Fraser University), Anders Hansen, Bogdan Roman

Sparsity is the traditional mainstay of the majority of compressed sensing. However, in many applications where the sampling mechanism is fixed one does not recover all sparse vectors, but rather a much smaller subclass possessing (far) greater and finer structure. The work poses the question: What type of structured signals does compressed sensing actually recover?

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