Data Interpolation in Phase-Scrambling Fourier Transform Technique for Alias-Free Image Reconstruction by Iterative Signal Restoration Algorithm

Yoshifumi Yamada¹, Satoshi Ito¹

The phase scrambling Fourier transform (PSFT) signal can be converted into the Fresnel transform signal by multiplying by a quadratic phase term. In this paper, a new alias-free image reconstruction technique in the PSFT imaging technique is presented in which the signal is converted into the Fresnel transform signal and residual alias in the image is removed by increasing the data interpolation accuracy with using iterative signal restoration algorithm. Numerical simulation using MR images showed that almost alias-free images can be reconstructed using this technique.