Data Interpolation in PSFT MRI for Alias-less Image Reconstruction by using Iterative Signal Restoration Algorithm(International Forum on Medical Imaging in Asia 2009 (IFMIA 2009))

概要

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The signal of the Phase Scrambling Fourier Transform(PSFT) imaging technique is given by the Fourier transform of the spin density multiplied by a quadratic phase term. The signal can be converted into the Fresnel transform signal by multiplying by an another quadratic phase term. Because the amplitudes of adjacent sampled Fresnel transform signals have a high interrelation, the signal amplitude at a point between sampled points can be estimated with a high degree of accuracy even if the sampling is coarse to generate aliases in the reconstructed images. Since the coarsely sampled Fresnel transform signal does not satisfy the Nyquist sampling condition, however, a small residual alias is contained in the reconstructed image. In this paper, a new alias-less image reconstruction technique in the PSFT imaging technique is presented in which the residual alias in the image is removed by increasing the data interpolation accuracy with using the modified Gerchberg's iterative signal restoration algorithm which applies a priori constraints at the signal and image domain. Numerical simulation using MR images was carried out and simulation showed that almost alias-less images were reconstructed by using this technique.
2009-01-12