Reconstruction of Highly Underdamped 3D Spiral and Golden Angle Radial MRI Data Using Spherical Fourier-Legendre Transform

Motivation: Fast imaging is crucial in MRI for various applications. This study proposes a novel method to reconstruct highly undersampled MRI data for faster and higher-quality imaging. Goal(s): Reconstruct the highly undersampled 3D golden-angle and spiral radial MRI data. Approach: We proposed a novel image reconstruction method for 3D radial MRI data at high acceleration rates, based on the spherical Fourier-Legendre transform. This method reconstructs images directly in the spherical coordinates without using interpolation operator in k-space domain. Results: The feasibility of the proposed method is proven by reconstructing highly undersampled 3D golden-angle and spiral radial data of digital Shepp-Logan and in-vitro ACR phantoms. Impact: A nivel image reconstruction method for fast and high-quality radial MRI imaging. It focuses on highly undersampled 3D golden-angle and spiral radial MRI data, reconstructing images directly in spherical coordinates without any frequency interpolation.