Anti-alias Imaging by Fresnel Scalable Image Reconstruction

INTRODUCTION A novel image reconstruction technique, which avoids aliasing artifacts by scalable image reconstruction in Magnetic Resonance Imaging, is proposed. The signal obtained in the phase-scrambling Fourier imaging technique can be transformed to the signal described in the Fresnel transform equation of the objects. Therefore, image reconstruction can be performed not only by inverse Fourier transform but also by inverse Fresnel transform. Image reconstruction by inverse Fresnel transform allows optional scaling of images Thus, alias-free images can be reconstructed even from signals that produce serious aliasing artifacts by standard inverse Fourier transform reconstruction. PRINCIPLE Phase-Scrambling Fourier Transform (PSFT) imaging is a technique whereby a quadratic field gradient is added to the pulse sequence of conventional FT imaging in synchronization with the field gradient for phase encoding. The signal obtained in PSFT is given by Eq. (1) [1]: