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Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging
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Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging

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MR image reconstruction based on iterative Split Bregman algorithm and nonlocal total variation.

Varun P Gopi1, P Palanisamy, Khan A Wahid

  • 1Department of Electronics and Communication Engineering, National Institute of Technology, Tiruchirappalli, Tamil Nadu 620015, India. vpgcet@gmail.com

Computational and Mathematical Methods in Medicine
|September 3, 2013
PubMed
Summary
This summary is machine-generated.

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This study presents an efficient algorithm for magnetic resonance (MR) image reconstruction using nonlocal total variation. The method improves reconstruction accuracy and reduces computational complexity for undersampled k-space data.

Area of Science:

  • Medical Imaging
  • Signal Processing
  • Computational Science

Background:

  • Magnetic Resonance (MR) imaging is crucial for medical diagnostics.
  • Undersampled k-space data acquisition accelerates MR imaging but poses reconstruction challenges.
  • Existing reconstruction methods often face limitations in accuracy or computational efficiency.

Purpose of the Study:

  • To develop an efficient and accurate algorithm for reconstructing MR images from undersampled k-space data.
  • To leverage nonlocal total variation for improved image quality in compressed MR imaging.
  • To assess the performance of the proposed algorithm against existing methods.

Main Methods:

  • The proposed algorithm minimizes a linear combination of nonlocal total variation (NLTV) and a least-square data-fitting term.

Related Experiment Videos

Last Updated: May 8, 2026

Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging
10:44

Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging

Published on: June 21, 2024

  • Nonlocal total variation is formulated as an L1-regularization functional.
  • Split Bregman iteration is employed to solve the optimization problem.
  • Main Results:

    • The algorithm successfully reconstructs MR images from undersampled k-space data.
    • Demonstrated superior reconstruction accuracy compared to previous methods.
    • Showcased reduced computational complexity, enhancing efficiency.

    Conclusions:

    • The proposed algorithm offers a superior approach for compressed MR image reconstruction.
    • The method effectively balances accuracy and computational efficiency.
    • This advancement holds potential for faster and more reliable MR imaging acquisition.