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Quadratic compressive sensing, as a nonlinear extension of compressive sensing, has attracted considerable attention in optical image, X-ray crystallography, transmission electron microscopy, etc. We introduce the concept of uniform s-regularity to study the uniqueness in quadratic compressive sensing and propose a greedy algorithm for the corresponding numerical optimization. Moreover, we prove the...
In this paper, we propose a Modified Surrogate Constraint Projection (MSCP) method for solving the linear split feasibility problem, which can be applied to medical image reconstruction. In our method, each step consists of finding two orthogonal projections onto both a surrogate hyperplane and a relaxed halfspace. We also give the convergence of the MSCP method. It is demonstrated to be effective...
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