Nonconvex Optimization for 3-Dimensional Point Source Localization Using a Rotating Point Spread Function

DOI10.1137/18M1178566zbMath1423.94010arXiv1804.04000OpenAlexW3100860507WikidataQ128494604 ScholiaQ128494604MaRDI QIDQ5236639

Mila Nikolova, Robert J. Plemmons, Chao Wang, Sudhakar Prasad, Raymond Honfu Chan

Publication date: 9 October 2019

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04000

zbMATH Keywords

image processingpoint spread functionspace debrisimage rotation3D localizationnonconvex optimization algorithms

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

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Uses Software

• PDCO
• SPIRAL

Cites Work

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• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• A mathematical introduction to compressive sensing
• Iterative thresholding for sparse approximations
• Atomic Decomposition by Basis Pursuit
• A Continuous Exact $\ell_0$ Penalty (CEL0) for Least Squares Regularized Problem
• On the Convergence of Nonconvex Minimization Methods for Image Recovery
• Sparse Approximate Solutions to Linear Systems
• Minimization and parameter estimation for seminorm regularization models with I -divergence constraints
• On $\ell_1$ Data Fitting and Concave Regularization for Image Recovery
• On Iteratively Reweighted Algorithms for Nonsmooth Nonconvex Optimization in Computer Vision
• Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction
• This is SPIRAL-TAP: Sparse Poisson Intensity Reconstruction ALgorithms—Theory and Practice
• Efficient Reconstruction of Piecewise Constant Images Using Nonsmooth Nonconvex Minimization