Conjugate Symmetry
Why don't you combine the read conjugate symmetry and phase conjugate symmetry techniques? That way you really save time by collecting only 1/4 the k-space data.
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The symmetry of k-space relied on for success of the read and phase conjugate symmetry methods is diagonal in nature. Collecting data from only a single quadrant of k-space by would allow one to estimate/synthesize only cells in the mirror image quadrant across the origin. Therefore, the read conjugate and phase conjugate symmetry techniques cannot be used together; one-fourth of k-space is not sufficient to reconstruct the entire image accurately.
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K-space being "diagonally symmetric" prevents imaging
with only one quarter of the data. |
References
McGibney G, Smith MR, Nichols ST, Crawley A. Quantitative evaluation of several partial Fourier recconstruction algorithms used in MRI. Magn Reson Med 1993;30:51-59
Williams LR. Symmetry. Lecture Notes for Computer Science 530, University of New Mexico, 2011. Available at http://www.cs.unm.edu/~williams/cs530/symmetry.pdf
McGibney G, Smith MR, Nichols ST, Crawley A. Quantitative evaluation of several partial Fourier recconstruction algorithms used in MRI. Magn Reson Med 1993;30:51-59
Williams LR. Symmetry. Lecture Notes for Computer Science 530, University of New Mexico, 2011. Available at http://www.cs.unm.edu/~williams/cs530/symmetry.pdf
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