A second-order TV-based coupling model and an ADMM algorithm for MR image reconstruction

DOI10.34768/amcs-2020-0009zbMath1461.92056OpenAlexW3046644157MaRDI QIDQ2019701

Yanyan Li

Publication date: 22 April 2021

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doaj.org/article/c4b67ee519b144f18f79524f8f8815fd

zbMATH Keywords

ADMMwavelet transformsplit BregmanMRI reconstructionLLT modelLOT modelcoupling model

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (1)

An unscented transformation approach to stochastic analysis of measurement uncertainty in magnet resonance imaging with applications in engineering

Uses Software

• RecPF

Cites Work

• Nonlinear total variation based noise removal algorithms
• An ADMM algorithm for second-order TV-based MR image reconstruction
• Split Bregman method for the modified lot model in image denoising
• A note on the dual treatment of higher-order regularization functionals
• Fourth-order partial differential equations for noise removal
• Fast Algorithms for Image Reconstruction with Application to Partially Parallel MR Imaging
• Alternating Direction Method for Image Inpainting in Wavelet Domains
• Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
• Noise Removal Using Smoothed Normals and Surface Fitting
• Sparse Reconstruction by Separable Approximation

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