Diffusion optical tomography reconstruction based on convex–nonconvex graph total variation regularization

DOI10.1002/MMA.8777MaRDI QIDQ6182995

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Publication date: 22 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

ADMMgraph representationdiffuse optical tomographyconvex-nonconvex sparse regularization

Mathematics Subject Classification ID

Applications of graph theory (05C90) Ill-posedness and regularization problems in numerical linear algebra (65F22) Graph representations (geometric and intersection representations, etc.) (05C62) Numerical methods for mathematical programming, optimization and variational techniques (65K99)

Related Items (2)

Mathematical and numerical challenges in diffuse optical tomography inverse problems ⋮ Plug-and-play algorithms for convex non-convex regularization: convergence analysis and applications

Cites Work

• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• Non-convex total variation regularization for convex denoising of signals
• Convergence Analysis of Alternating Direction Method of Multipliers for a Family of Nonconvex Problems
• Shape recovery for sparse-data tomography
• First-Order Methods in Optimization
• Sparse Regularization via Convex Analysis
• Edge-guided TV ^p regularization for diffuse optical tomography based on radiative transport equation
• Data Analytics on Graphs Part I: Graphs and Spectra on Graphs
• Data Analytics on Graphs Part II: Signals on Graphs
• Data Analytics on Graphs Part III: Machine Learning on Graphs, from Graph Topology to Applications
• Sparsity-Inducing Nonconvex Nonseparable Regularization for Convex Image Processing

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