Fast spiral Fourier transform for iterative MR image reconstruction

@article{Lustig2004FastSF,
  title={Fast spiral Fourier transform for iterative MR image reconstruction},
  author={Michael Lustig and Yaakov Tsaig and Jin Hyung Lee and David L. Donoho},
  journal={2004 2nd IEEE International Symposium on Biomedical Imaging: Nano to Macro (IEEE Cat No. 04EX821)},
  year={2004},
  pages={784-787 Vol. 1}
}
We present a fast and accurate discrete spiral Fourier transform and its inverse. The inverse solves the problem of reconstructing an image from MRI data acquired along a spiral k-space trajectory. First, we define the spiral FT and its adjoint. These discrete operators allow us to efficiently compute the inverse using fast-converging conjugate gradient… CONTINUE READING