Multiscale coherence regularization reconstruction using a nonlocal operator for fast variable-density spiral imaging

Sheng Fang, Lyu Li, Wenchuan Wu, Juan Wei, Bida Zhang, Dong Hyun Kim, Chun Yuan, Hua Guo

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Purpose: Nonlinear reconstruction can suppress pseudo-incoherent aliasing artifacts from variable-density spiral (VDS) trajectories when interleaves are undersampled for acquisition acceleration during MR imaging. However, large-scale aliasing artifact suppression often conflicts with fine-scale structure preservation and may cause deterioration of image quality in the reconstructed images. To address this issue, a sequential, multiscale coherence regularization algorithm using a nonlocal operator (mCORNOL) is proposed. Methods: mCORNOL is formed by exploiting the scale-control capacity of nonlocal operators in image structure measurement. By changing the scale of the structure measurement, the smoothing constraint scales can be adjusted. Starting with a large value, mCORNOL gradually reduces the smoothing constraint scale until it reaches the same level as the noise. Therefore, the large-scale smoothing constraint dominates the first few iterations of the reconstruction and removes aliasing artifacts as well as fine structures. In the following iterations, the smoothing constraint is restricted to a smaller and smaller scale, so the fidelity term progressively dominates and restores lost structures. Thus, aliasing artifact removal and structure preservation can be decoupled and achieved sequentially, which alleviates the conflicts between them. Results: Numerical simulation and in vivo experiment results demonstrate the superiority of mCORNOL for aliasing artifact suppression and image structure preservation at high reduction factors, compared to SENSE, Total Variation and the original CORNOL reconstruction. Conclusions: mCORNOL reconstruction provides an effective way to improve image quality for undersampled VDS acquisitions.

Original languageEnglish
Pages (from-to)964-973
Number of pages10
JournalMagnetic Resonance Imaging
Issue number7
Publication statusPublished - 2016 Sept 1

Bibliographical note

Funding Information:
Grant sponsor: This work is supported by the National Natural Science Foundation of China, (11475100 and 61271132), and the Beijing Natural Science Foundation (7142091).

Funding Information:
The authors thank Dr. Condon Lau at the Hong Kong University of Science and Technology for proofreading the manuscript. This work was supported by National Natural Science Foundation of China , Grant No. 11475100 and 61271132 , and the Beijing Natural Science Foundation , Grant No. 7142091 .

Publisher Copyright:
© 2016 Elsevier Inc.

All Science Journal Classification (ASJC) codes

  • Biophysics
  • Biomedical Engineering
  • Radiology Nuclear Medicine and imaging


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