Convex Recovery of Continuous Domain Piecewise Constant Images From Nonuniform Fourier Samples

• Published in: IEEE transactions on signal processing Vol. 66; no. 1; pp. 236 - 250
• Main Authors: Ongie, Greg, Biswas, Sampurna, Jacob, Mathews
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.01.2018
• Subjects: Convolution; finite rate of innovation; Heuristic algorithms; Image edge detection; Indexes; Jacobian matrices; Off-the-grid image recovery; Signal processing algorithms; structured low-rank matrix completion; Technological innovation; Structured Low-Rank Matrix Completion; Finite Rate of Innovation; Off-the-Grid Image Recovery

We consider the recovery of a continuous domain piecewise constant image from its nonuniform Fourier samples using a convex matrix completion algorithm. We assume the discontinuities/edges of the image are localized to the zero level set of a bandlimited function. This assumption induces linear depe...