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

Brid Roberts; Min Wan; Simon P. Kelly; John J. Healy

doi:10.1117/12.2547583

17 February 2020 Quantitative comparison of Gegenbauer, filtered Fourier, and Fourier reconstruction for MRI

Brid Roberts, Min Wan, Simon P. Kelly, John J. Healy

Author Affiliations +

Proceedings Volume 11232, Multimodal Biomedical Imaging XV; 112320L (2020) https://doi.org/10.1117/12.2547583
Event: SPIE BiOS, 2020, San Francisco, California, United States

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.

Citation Download Citation

Brid Roberts, Min Wan, Simon P. Kelly, and John J. Healy "Quantitative comparison of Gegenbauer, filtered Fourier, and Fourier reconstruction for MRI", Proc. SPIE 11232, Multimodal Biomedical Imaging XV, 112320L (17 February 2020); https://doi.org/10.1117/12.2547583

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

;

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE