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Harnessing Sparsity over the Continuum: Atomic Norm Minimization for Super Resolution

2019-12-23

Convex optimization recently emerges as a compelling framework for performing super resolution, garnering significant attention from multiple communities spanning signal processing, applied mathematics, and optimization. This article offers a friendly exposition to atomic norm minimization as a canonical convex approach to solve super resolution problems. The mathematical foundations and performances guarantees of this approach are presented, and its application in super resolution image reconstruction for single-molecule fluorescence microscopy are highlighted.

📄 PDF Abstract BibTeX arXiv:1904.04283

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Image ReconstructionSuper-Resolution

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