A total variation regularization strategy in dynamic MRI

DOI10.1080/10556780500140300zbMath1082.65066OpenAlexW2092810571MaRDI QIDQ5717541

Germana Landi, Elena Loli Piccolomini

Publication date: 10 January 2006

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780500140300

zbMATH Keywords

algorithmtotal variationregularizationnumerical experimentsmagnetic resonance imagingEuler-Lagrange equationquasi-Newton methodkeyhole methoddynamic imaging methods

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Biomedical imaging and signal processing (92C55) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items

A variational approach to Gibbs artifacts removal in MRI

Cites Work

• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Image recovery via total variation minimization and related problems
• Total variation based convex filters for medical imaging
• Modeling textures with total variation minimization and oscillating patterns in image processing
• Image denoising and decomposition with total variation minimization and oscillatory functions
• On the Convergence of the Lagged Diffusivity Fixed Point Method in Total Variation Image Restoration
• Analysis of bounded variation penalty methods for ill-posed problems
• Convergence of an Iterative Method for Total Variation Denoising
• A Variational Method in Image Recovery
• Image Decomposition and Restoration Using Total Variation Minimization and theH¹
• Fast, robust total variation-based reconstruction of noisy, blurred images
• Computational Methods for Inverse Problems
• Iterative Methods for Total Variation Denoising
• High-resolution inversion of finite Fourier transform data through a localised polynomial approximation