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Abstract #3769

Using Spatio-Temporal Duality for Memory-Efficient Non-Uniform Fourier Transformation with Field Correction

Kaveh Vahedipour1, 2, Nadim Jon Shah1, 3

1Juelich Research Centre, Juelich, Germany; 2Maastricht University, Maastricht, Netherlands; 3RWTH Aachen University, Aachen, Germany

The spatio-temporal duality of the Fourier transform, the time-reveral parity of Bloch equation without T1 and T2* relaxation as well as the principle of reciprocity can be used to rewind the physical process of gradient encoding along the time axis to obtain images from signals acquired along arbitrary k-space trajectories. In this work we show advantages of such a reconstruction scheme when compared to the state of the art non-uniform FFT solutions. The algorithm can be implemented in a very efficient way with respect to memory as well as processing complexity. It is discussed why this algorithm behaves favourably particularly for larger number of receive elements and large image matrices.