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New robust 3D phase unwrapping algorithms: Application to magnetic field mapping and undistorting echo-planar images
Authors:
Cusack, R., Papadakis, N. & ,
Reference:
NeuroImage, 16(3, Part 1), 754-764
Year of publication:
2001
CBU number:
5086
Abstract:
The phase, as well as the magnitude, of MRI images can carry useful information. It may be used to encode flow, or to map the magnetic field for the undistorting of EPIs, automated shimming or temperature mapping. In all cases, we measure the extra spin given to nuclei. Unfortunately, we can only measure the final phase of the spins: the rotation is wrapped into the range [-ɇ,+ɇ], and to obtain a measure of the parameter of interest the missing multiples of 2ɇ must be replaced - a process known as phase unwrapping. Whilst simple in principle, standard phase unwrapping algorithms fail catastrophically in the presence of even small amounts of noise. Here, we present a new algorithm for robust three-dimensional phase unwrapping, in which unwrapping is guided, so that it initially works on less noisy regions. We test the algorithm on simulated phase data, and on maps of magnetic field, which were then used to successfully undistort EPI images. The unwrapping algorithm could be directly applied to other kinds of phase data.


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