Reconstruction of magnetic resonance images using one-dimensional techniques

• Published in: IEEE transactions on medical imaging 1993-12, Vol.12 (4), p.758-763
• Main Authors: Vassiliadis, K.P., Angelidis, P.A., Sergiadis, G.D.
• Format: Article
• Language: English
• Subjects: Application software; Biological and medical sciences; Discrete Fourier transforms; Fast Fourier transforms; Image reconstruction; Investigative techniques, diagnostic techniques (general aspects); Magnetic resonance; Magnetic resonance imaging; Medical sciences; Miscellaneous. Technology; Multidimensional signal processing; Multidimensional systems; Radiodiagnosis. Nmr imagery. Nmr spectrometry; Signal processing; Signal processing algorithms
• ISSN: 0278-0062; 1558-254X
• DOI: 10.1109/42.251127

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.< >