Atkinson, D and Hill, DLG (2003) Reconstruction after Rotational Motion. Magnetic Resonance in Medicine , 49 (1) 183 - 187. 10.1002/mrm.10333.
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Patient rotational motion during a scan causes the k-space sampling to be both irregular and undersampled. Conventional regridding requires an estimate of the sampling density at each measured point and is not strictly consistent with sampling theory. Here, a 2D problem is converted to a series of 1D regriddings by exact interpolation along the measured readouts. Each 1D regridding, expressed in matrix form, requires a matrix inversion to gain an exact solution. Undersampled regions make the matrix ill-conditioned but summing the matrix columns (without inversion) indicates the undersampled regions. The missing data could be reacquired, but in this study it is estimated using a Delaunay triangle-based linear interpolation on the original 2D data. The matrix conditioning is improved, leading to images with reduced artifacts compared to other regridding schemes. Furthermore, there is no requirement to estimate a density compensation function at each of the measured points
|Title:||Reconstruction after Rotational Motion|
|Keywords:||Head, anatomy & histology, Humans, Image Processing, Computer-Assisted, methods, Magnetic Resonance Imaging, Research Support, Non-U.S.Gov't, Rotation|
|UCL classification:||UCL > School of Life and Medical Sciences > Faculty of Medical Sciences > Medicine (Division of)|
UCL > School of BEAMS > Faculty of Engineering Science > Medical Physics and Bioengineering
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