32 citations · 41 across the 3 of their papers we have counts for
4 papers
Algebraic Variety Models for High-Rank Matrix Completion
Greg Ongie, Rebecca Willett, Robert D. Nowak +1
We consider a generalization of low-rank matrix completion to the case where the data belongs to an algebraic variety, i.e. each data point is a solution to a system of polynomial…
Structured low-rank recovery of piecewise constant signals with performance guarantees
Greg Ongie, Sampurna Biswas, Mathews Jacob
We derive theoretical guarantees for the exact recovery of piecewise constant two-dimensional images from a minimal number of non-uniform Fourier samples using a convex matrix comp…
Super-resolution MRI Using Finite Rate of Innovation Curves
Greg Ongie, Mathews Jacob
We propose a two-stage algorithm for the super-resolution of MR images from their low-frequency k-space samples. In the first stage we estimate a resolution-independent mask whose…
Recovery of Piecewise Smooth Images from Few Fourier Samples
Greg Ongie, Mathews Jacob
We introduce a Prony-like method to recover a continuous domain 2-D piecewise smooth image from few of its Fourier samples. Assuming the discontinuity set of the image is localized…