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Abstract #4254

Uniformity and symmetry considerations in sampling designs for 3D radial MRI

Cheng Guan Koay 1

1 Department of Medical Physics, University of Wisconsin-Madison, Madison, WI, United States

Uniformity in sampling measurements is a well known guiding principle in acquisition design for 3D radial MRI. Here, we argue that further improvement in image quality can be achieved by taking antipodal symmetry (or Hermitian symmetry) into account in the sampling design process. Herein, we developed a technique capable of generating very large, uniformly distributed points on the unit sphere that are endowed with antipodal symmetry. We observed a reduction of percent relative errors with respect to the ground truth, which was derived from a realistic numerical phantom, of about 10% as compared to the commonly used scheme.

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