An extension of low-rank matrix completion to the case where the data lies on a low-dimensional algebraic variety. This includes data belonging to a union of low-dimensional subspaces, and other low-dimensional algebraic curves and surfaces.
A fast algorithm for solving low-rank matrix completion problems with additional (block)-Toeplitz or (block)-Hankel structure, with application to undersampled MRI reconstruction.
An extension of the finite-rate-of-innovation (FRI) framework to a class of multi-dimensional piecewise smooth image models.
An algorithm for MRI reconstruction that utilizes a patch-based similarity prior.
Link to CBIG Project Page