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Two-Dimensional Image-Based Respiratory Navigator for Free-Breathing Coronary Magnetic Resonance Angiography

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Fig. 1. Illustration of the proposed 2D motion estimation. (a) Six-fold aliased image of the resolution phantom (a): at a  reference position, (b) Shifted 16 mm along the SI direction
Figure 1c shows the correlation between the reference  aliased image and the second aliased image shifted over 2D  search space, as measured by mean square error between  the two images multiplied by minus one
Figure 4a depicts estimated respiratory motions using  the proposed 2D navigator (solid blue) and 1D diaphragm

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