Accelerating compressed sensing reconstruction of subsampled radial k-space data using geometrically-derived density compensation

To accelerate compressed sensing (CS) reconstruction of subsampled radial k-space data using a geometrically-derived density compensation function (gDCF) without significant loss in image quality. We developed a theoretical framework to calculate a gDCF based on Nyquist distance along the radial and...

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Veröffentlicht in:Physics in medicine & biology 2021-10, Vol.66 (21), p.21
Hauptverfasser: Hong, KyungPyo, Schiffers, Florian, DiCarlo, Amanda L, Rigsby, Cynthia K, Haji-Valizadeh, Hassan, Lee, Daniel C, Markl, Michael, Katsaggelos, Aggelos K, Kim, Daniel
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Sprache:eng
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Zusammenfassung:To accelerate compressed sensing (CS) reconstruction of subsampled radial k-space data using a geometrically-derived density compensation function (gDCF) without significant loss in image quality. We developed a theoretical framework to calculate a gDCF based on Nyquist distance along the radial and circumferential directions of a discrete polar coordinate system. Our gDCF was compared against standard DCF (e.g. ramp filter) and another commonly used DCF (modified Shepp-Logan (SL) filter). The resulting image quality produced by each DCF was quantified using normalized root-mean-square-error (NRMSE), blur metric (1 = blurriest; 0 = sharpest), and structural similarity index (SSIM; 1 = perfect match; 0 = no match) compared with the reference. For filtered backprojection (FBP) of phantom data obtained at the Nyquist sampling rate, Cartesian k-space sampling was used as the reference. For CS reconstruction of subsampled cardiac magnetic resonance imaging datasets (real-time cardiac cine data with 11 projections per frame,  = 20 patients; cardiac perfusion data with 30 projections per frame,  = 19 patients), CS reconstruction without DCF was used as the reference. The NRMSE, SSIM, and blur metrics of the phantom data were good for all DCFs, confirming that our gDCF produces uniform densities at the upper limit (Nyquist). For CS reconstruction of subsampled real-time cine and cardiac perfusion datasets, the image quality metrics (SSIM, NRMSE) were significantly (  
ISSN:0031-9155
1361-6560
DOI:10.1088/1361-6560/ac2c9d