2015/04/23 by Yuan‐Xin Li, Yuanxin Li, Li, Yuanxin +2
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · #Advanced Fluorescence Microscopy Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Photoacoustic and Ultrasonic Imaging #Spectroscopy Techniques in Biomedical and Chemical Research #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1504.06015
ISIT 2015
arxiv created 2015/04/23 · openalex publication_date 2015/04/23 · arxiv updated 2015/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider simultaneously identifying the membership and locations of point sources that are convolved with different low-pass point spread functions, from the observation of their superpositions. This problem arises in three-dimensional super-resolution single-molecule imaging, neural spike sorting, multi-user channel identification, among others. We propose a novel algorithm, based on convex programming, and establish its near-optimal performance guarantee for exact recovery by exploiting the sparsity of the point source model as well as incoherence between the point spread functions. Numerical examples are provided to demonstrate the effectiveness of the proposed approach.