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Inverse Fourier Transformation
 
Form of the Fourier transformation that reverses the process, e.g. if the Fourier transformation is used to analyze a function of time into its equivalent frequency components, the inverse Fourier transformation will synthesize that function of time from these frequency components.
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Fourier TransformationMRI Resource Directory:
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(FT) The Fourier transformation is a mathematical procedure to separate out the frequency components of a signal from its amplitudes as a function of time, or the inverse Fourier transformation (IFT) calculates the time domain from the frequency domain. The FT is used to generate the spectrum from the free induction decay or spin echo in the pulse MR technique and is essential to most MR imaging techniques. The Fourier transformation can be generalized to multiple dimensions, e.g. to relate an image to its corresponding k-space representation, or to include chemical shift information in some chemical shift imaging techniques. Fourier transformation analysis allows spatial information to be reconstructed from the raw data.
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Further Reading:
  Basics:
Fourier Transform Imaging of Spin Vortex Eigenmodes
Friday, 13 August 2004   by www.physik.uni-regensburg.de    
MR Image Reconstruction from Raw Data
   by dukemil.egr.duke.edu    
The Scientist and Engineer's Guide to Digital Signal Processing
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Spatial Frequency
 
Measure of resolution (lp/mm or lp/cm).
A dimension of the Fourier transformation space (k-space representation of an image), having units of inverse distance. Higher values of spatial frequencies correspond to finer detail in the image.
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