Denoising of Volumetric MR Image Using Low-Rank Approximation on Tensor SVD Framework

  • Hawazin S. Khaleel
  • Sameera V. Mohd Sagheer
  • M. Baburaj
  • Sudhish N. George
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 703)


In this paper, we focus on denoising of additively corrupted volumetric magnetic resonance (MR) images for improved clinical diagnosis and further processing. We have considered three dimensional MR images as third-order tensors. MR image denoising is solved as a low-rank tensor approximation problem, where the non-local similarity and correlation existing in volumetric MR images are exploited. The corrupted images are divided into 3D patches and similar patches form a group matrix. The group matrices exhibit low-rank property and is decomposed with tensor singular value decomposition (t-SVD) technique, and reweighted iterative thresholding is performed on core coefficients for removing the noise. The proposed method is compared with the state-of-the-art methods and has shown improved performance.


MR image Denoising Tensor singular value decomposition Low-rank approximation 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Hawazin S. Khaleel
    • 1
  • Sameera V. Mohd Sagheer
    • 1
  • M. Baburaj
    • 1
  • Sudhish N. George
    • 1
  1. 1.Department of Electronics and Communication EngineeringNational Institute of Technology CalicutKeralaIndia

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