1. A method for performing a magnetic resonance image reconstruction with spatially varying coil compression, the method comprising: using a non-Cartesian acquisition scheme to acquire a multi-coil k-space dataset fully sampled along a fully sampled direction; decoupling the multi-coil k-space dataset along the fully sampled direction to yield a plurality of uncompressed coil data matrices; compressing the plurality of uncompressed coil data matrices to yield a plurality of virtual coil data matrices; aligning the plurality of virtual coil data matrices along the fully sampled direction to yield a plurality of aligned virtual coil data matrices; coupling the plurality of aligned virtual coil data matrices along the fully sampled direction to yield a compressed multi-coil k-space dataset; normalizing intensity values in the plurality of aligned virtual coil data matrices based on the plurality of uncompressed coil data matrices; and reconstructing an image using the compressed multi-coil k-space dataset.