Euler's elastica-based algorithm for parallel MRI reconstruction using sensitivity encoding

DOI10.1007/S11590-019-01451-8zbMath1448.92116OpenAlexW2960012662MaRDI QIDQ2192990

Maryam Yashtini

Publication date: 24 August 2020

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-019-01451-8

zbMATH Keywords

numerical optimizationEuler's elastica regularizationnon-smooth and non-convex problemparallel MRI reconstruction

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55)

Uses Software

• RecPF

Cites Work

• Unnamed Item
• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• Nonlinear total variation based noise removal algorithms
• Image segmentation using Euler's elastica as the regularization
• Augmented Lagrangian method for total variation restoration with non-quadratic fidelity
• Bregman operator splitting with variable stepsize for total variation image reconstruction
• Total variation and wavelet regularization of orientation distribution functions in diffusion MRI
• Variational denoising of diffusion weighted MRI
• Augmented Lagrangian method for a mean curvature based image denoising model
• An $\mathcal O(1/{k})$ Convergence Rate for the Variable Stepsize Bregman Operator Splitting Algorithm
• A Fast Augmented Lagrangian Method for Euler's Elastica Models
• A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method
• A Fast Relaxed Normal Two Split Method and an Effective Weighted TV Approach for Euler's Elastica Image Inpainting
• A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
• The Split Bregman Method for L1-Regularized Problems
• Alternating Direction Method of Multiplier for Euler’s Elastica-Based Denoising
• Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
• Filling-in by joint interpolation of vector fields and gray levels
• Euler's Elastica and Curvature-Based Inpainting
• Illusory Shapes via Corner Fusion
• Some Facts About Operator-Splitting and Alternating Direction Methods
• The Elastic Ratio: Introducing Curvature Into Ratio-Based Image Segmentation
• Convex Analysis
• An Iterative Regularization Method for Total Variation-Based Image Restoration

This page was built for publication: Euler's elastica-based algorithm for parallel MRI reconstruction using sensitivity encoding