Patent Document ID: 9734601
Application ID: 14678876
Patent Status: 1

Claim One:
1. A system comprising: at least one processing device; non-transitory computer-readable medium storing instructions executable by the at least one processing device to employ transform learning as a regularizer for reconstructing an image from limited or corrupted imaging measurements, to generate a reconstructed image, wherein the limited or corrupted imaging measurements include a component that is a function of at least two pixels of the reconstructed image, wherein ones of the at least two pixels reside in different image patches of a plurality of image patches of the reconstructed image, and the instructions to cause the at least one processing device to: reconstruct the image, from the imaging measurements, by iterative minimization of an adaptive image reconstruction optimization objective comprising a transform-model-based image regularizer and a data fidelity term formed using the limited or corrupted imaging measurements, wherein the minimization is expressed as min x ⁢ f ⁡ ( x , y ) + λ ⁢ ⁢ J ⁡ ( x ) ⁢ ( i ) , wherein x is the reconstructed image, y are the imaging measurements, f (x, y) is the data fidelity term that includes interactions between data from the different image patches, λ is a regularization strength parameter, and J(x) is the transform-model-based image regularizer of the reconstructed image, which is obtained as an approximate minimum solution to a transform learning minimization problem that comprises: sparsification error of the plurality of image patches of the reconstructed image, comprising a measure of discrepancy between the plurality of image patches transformed by a transform operator and sparse approximations of the plurality of image patches, wherein the sparse approximations comprise sparse codes; a sparsity promoting function that is one of a penalty or a set of constraints on the sparse approximations to the plurality of images patches; and a transform learning regularizer that controls properties of the transform operator; and store the reconstructed image in the computer-readable medium, the reconstructed image displayable on a display device.