title: Reconstruction of magnetic resonance images using one-dimensional techniques.
abstract: Whenever DFT (discrete Fourier transform) processing of a multidimensional discrete signal is required, one can apply either a multidimensional FFT (fast Fourier transform) algorithm, or a single-dimension FFT algorithm, both using the same number of points. That is, the dimensions of a "multidimensional" signal, and of its spectrum, are a matter of choice. Every multidimensional sequence is completely equivalent to a one-dimensional function in both "time" and "frequency" domains. This statement applied to MRI (magnetic resonance imaging) explains why one can reconstruct the slice by using either one-dimensional or two-dimensional methods, as it is already done in echo planar methods. In the commonly used spin warp methods, the image can be also reconstructed by either one- or two-dimensional processing. However, some artifacts in the images reconstructed from the original "zig-zag" echo planar trajectory, are shown to be due to the wrong dimensionality of the FFT applied.
authors.affiliation: Dept. of Telecommun., Aristotelian Univ. of Thessaloniki.
authors.forename: K P
authors.initials: KP
authors.lastname: Vassiliadis
authors.forename: P A
authors.initials: PA
authors.lastname: Angelidis
authors.forename: G D
authors.initials: GD
authors.lastname: Sergiadis