An ADMM algorithm for second-order TV-based MR image reconstruction

DOI10.1007/s11075-014-9826-zzbMath1304.65161OpenAlexW1979812822MaRDI QIDQ478199

Yong-Cai Geng, Sumit K. Garg

Publication date: 3 December 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-014-9826-z

zbMATH Keywords

finite differenceswavelet transformsaugmented Lagrangian methodnumerical resulttotal variation regularizationalternated direction method of multipliers algorithmBarzilai-Borwein step size selection schememagentic resonance image reconstructionvariable splitting technique

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Biomedical imaging and signal processing (92C55) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (10)

LAVIR -- locally adaptive variational image registration ⋮ Convergence analysis of positive-indefinite proximal ADMM with a Glowinski's relaxation factor ⋮ A Weibull gradient prior for image restoration ⋮ A novel model and ADMM algorithm for MR image reconstruction ⋮ A coupling model and ADMM algorithm based on TGV and shearlet regularization term for MRI reconstruction ⋮ Sparsity reconstruction using nonconvex TGpV-shearlet regularization and constrained projection ⋮ A second-order TV-based coupling model and an ADMM algorithm for MR image reconstruction ⋮ An efficient Peaceman–Rachford splitting method for constrained TGV-shearlet-based MRI reconstruction ⋮ IDPCNN: iterative denoising and projecting CNN for MRI reconstruction ⋮ Semi-supervised learning-assisted imaging method for electrical capacitance tomography

Uses Software

• EdgeCS

Cites Work

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• Edge Guided Reconstruction for Compressive Imaging
• Total Generalized Variation

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