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. Author manuscript; available in PMC: 2017 Jul 1.
Published in final edited form as: Magn Reson Med. 2015 Jul 29;76(1):197–205. doi: 10.1002/mrm.25858

Figure 1.

Figure 1

Demonstration of the coil clustering method. (a) S/I motion estimates (navigators) from three individual coil elements (red, pink, and green) vary significantly due to localized coil sensitivities. The proposed method consists of the following major steps to automatically find a subset of coils to determine the dominant motion: (b) calculation of the correlation matrix of the navigators; (c) construction of a correlation graph by thresholding the correlation matrix; (d) eigenvalue decomposition (EVD) of the correlation graph; (e) thresholding of the eigenvector corresponding to the largest eigenvalue. The significant entries in the thresholded eigenvector represent the selected coils in the coil cluster. The correlation graph of the coil cluster shows good approximation of the highly correlated coil subset in (c).