In this work, a novel biplanar matrix Z2 nonlinear gradient coil with an open structure has been designed, which could be employed in open spatial low-field MRI system, and an efficient encoding strategy for O-Space imaging was proposed in combination with the proposed biplanar matrix nonlinear gradient coil, which has the potential to shift the center placements (CP’s) in nonlinear gradient imaging without an external linear gradient field. The biplanar Z2 encoding field generated by a nonlinear gradient element consisting of curve segments was optimized and implemented to show the feasibility of this proposed biplanar matrix coil and encoding approach.
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