1Center
for Biomedical Imaging, New York University, School of Medicine, New York,
United States; 2Sackler Institute of Graduate Biomedical Sciences,
New York University, School of Medicine, New York, United States; 3Radiology
and Biomedical Imaging, University of California, San Francisco, San
Francisco, CA, United States; 4Center for Biomedical Imaging, NYU
Langone Medical Center, New York, United States; 5Siemens Medical
Solutions, New York, United States
Respiratory motion reduces the temporal sparsity and thus the performance of compressed sensing reconstruction. In this work, we propose a respiratory motion compensation method for compressed sensing reconstruction using golden-angle radial sampling by creating an extra respiratory-phase dimension estimated from the acquired data with self-gating. The additional respiratory-phase dimension improves the performance of compressed sensing for free-breathing imaging due to (a) additional correlation and thus increased overall multidimensional sparsity and (b) higher incoherence, since the dimension is formed by sorting complementary golden-angle radial data. We demonstrate the feasibility of the technique for accelerated free breathing cardiac cine and liver imaging.