Time-resolved image reconstruction using joint temporally local and global subspace modeling for MRI

A magnetic resonance imaging (MRI) system comprising:

• a magnet system configured to generate a polarizing magnetic field about a portion of a subject positioned;
• a magnetic gradient system including a plurality of magnetic gradient coils configured to apply at least one magnetic gradient field to the polarizing magnetic field;
• a radio frequency (RF) system configured to apply an RF excitation field to the subject, and to receive magnetic resonance signals from the subject using a coil array;
• and
• at least one processor configured to:
• direct the plurality of magnetic gradient coils and the RF system to perform a pulse sequence to acquire data from a subject;
• generate aliasing-free low resolution images from at least a portion of the received data using temporally local low-rank matrix completion;
• estimate a temporally global subspace using the aliasing-free low resolution images;
• and
• generate aliasing-free high resolution time-resolved images from the received data using temporally global subspace reconstruction that utilizes the estimated temporally global subspace.

A non-transitory, computer readable medium storing instructions that, when executed by one or more processors, perform a set of functions, the set of functions comprising:

• receiving data acquired from a subject using a magnetic resonance imaging (MRI) system;
• generating aliasing-free low resolution images from at least a portion of the received data using temporally local low-rank matrix completion;
• estimating a temporally global subspace using the aliasing-free low resolution images;
• and
• generating aliasing-free high resolution time-resolved images from the received data using temporally global subspace reconstruction that utilizes the estimated temporally global subspace.