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Proceedings Paper

Quantitative comparison of Gegenbauer, filtered Fourier, and Fourier reconstruction for MRI
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Paper Abstract

Magnetic Resonance Images are reconstructed from a finite number of samples in k-space. The accuracy of these reconstructions are crucial for segmentation and diagnosis. However, the nature of the reconstruction leads inevitably to Gibbs ringing. In this paper, we quantitatively compare the filtered Fourier and Gegenbauer ringing-suppressing reconstruction methods. The Gegenbauer method yields an order of magnitude better MSE than the other approaches we consider, and a 10 dB improvement in PSNR. These results confirm the Gegenbauer reconstruction as the most accurate choice in inverse problems where data is reconstructed from a finite number of Fourier coefficients.

Paper Details

Date Published: 17 February 2020
PDF: 8 pages
Proc. SPIE 11232, Multimodal Biomedical Imaging XV, 112320L (17 February 2020); doi: 10.1117/12.2547583
Show Author Affiliations
Brid Roberts, Univ. College Dublin (Ireland)
Min Wan, Univ. College Dublin (Ireland)
Simon P. Kelly, Univ. College Dublin (Ireland)
John J. Healy, Univ. College Dublin (Ireland)

Published in SPIE Proceedings Vol. 11232:
Multimodal Biomedical Imaging XV
Fred S. Azar; Xavier Intes; Qianqian Fang, Editor(s)

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