Non-uniform MR image reconstruction based on non-uniform FFT

摘要

A Non-Uniform Fast Fourier Transform (NUFFT) based method for non-Cartesian k-space data reconstruction is presented. For Cartesian K-space data, as we all know, image can be reconstructed using 2DFFT directly. But, as far as know, this method has not been universally accepted nowadays because of its inevitable disadvantages. On the contrary, non-Cartesian method is of the advantage over it, so we focused on the method usually. The most straightforward approach for the reconstruction of non-Cartesian data is directly via a Fourier summation. However, the computational complexity of the direct method is usually much greater than an approach that uses the efficient FFT. But the FFT requires that data be sampled on a uniform Cartesian grid in K-space, and a NUFFT based method is of much importance. Finally, experimental results which are compared with existing method are given.