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MR imaging with spatially variable resolution
Author(s) -
Cao Yue,
Levin David N.
Publication year - 1992
Publication title -
journal of magnetic resonance imaging
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.563
H-Index - 160
eISSN - 1522-2586
pISSN - 1053-1807
DOI - 10.1002/jmri.1880020615
Subject(s) - orthonormal basis , image resolution , pixel , computer science , series (stratigraphy) , iterative reconstruction , image (mathematics) , fourier transform , phase (matter) , artificial intelligence , algorithm , computer vision , mathematics , physics , mathematical analysis , paleontology , quantum mechanics , biology
In some situations it may be advantageous to produce “locally focused” magnetic resonance images that have nonuniform spatial resolution matching the expected local rate of spatial variation in the object. Because such an image has fewer pixels than a conventional image with uniformly high resolution, it can be reconstructed from fewer signals, acquired in less time. This can be done by using a highly convergent representation of the image as a sum of orthonormal functions with slow (fast) spatial variation in relatively homogeneous (heterogeneous) parts of the object. Since this series is shorter than a conventional truncated Fourier series, its terms can be calculated from a subset of the usual array of phase‐encoded signals. The optimal choice of these phase encodings, which are usually scattered nonuniformly in k space, results in minimization of noise in the reconstructed image. The technique is illustrated by applying it to simulated data and to data from images of phantoms.