Single-Voxel Direct Fourier Reconstruction of Spiral Fourier Velocity Encoding Data on GPGPUs

Thales Henrique Dantas¹, Joao L. A. Carvalho¹

Fourier velocity encoding (FVE) may be useful in the assessment of valvular disease and of carotid wall shear stress, as it eliminates partial volume effects that affect phase-contrast imaging. The scan-time of 2DFT FVE is prohibitively long for clinical use, but the spiral FVE method is substantially faster. Spiral FVE reconstruction is time-consuming, due to multidimensionality and non-Cartesian sampling. Using gridding or NUFFT, the entire m (x, y, v, t) matrix is calculated. However, we are typically only interested in the velocity distributions associated with pixels in a small ROI. We propose single-voxel direct Fourier transform (DrFT) on GPGPUs for seemingly instantaneous spiral FVE reconstruction.