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2007

MR Image Reconstruction from Pseudo-Hex Lattice Sampling Patterns Using Separable FFT

11 years 27 days ago
MR Image Reconstruction from Pseudo-Hex Lattice Sampling Patterns Using Separable FFT
Abstract— Common MRI sampling patterns in kspace, such as spiral trajectories, have nonuniform density and do not lie on a rectangular grid. We propose mapping the sampled data to a pseudo-hex lattice, taking advantage of its approximate isotropic nature in k-space and square nature in the reconstructed image space. The group structure of the lattice is exploited to implement the Fourier transform computations on the data using a separable FFT algorithm, which provides signi…cant computational ef…ciency. We suggest this method can be generalized to multiresolution lattices, in which the signal is represented in di¤erent regions in k-space with varying sampling densities. The operations on index sets and mapping to separable FFT can be implemented e¢ ciently in software or custom hardware (e.g., FPGA).
Jae-Ho Kim, Fred L. Fontaine
Added 07 Nov 2010
Updated 07 Nov 2010
Type Conference
Year 2007
Where WCE
Authors Jae-Ho Kim, Fred L. Fontaine
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