1. A method of determining a k-space convolution kernel in GRAPPA reconstruction of magnetic resonance imaging, comprising: acquiring a multiple frame dynamic Magnetic Resonance (MR) image series comprising 2-D images or 3-D images at a same slice location (2-D) or slab location (3-D); using multiple k-space data acquisition patterns, wherein each k-space data acquisition pattern acquires a subset of k-space lines; averaging each acquired k-space data acquisition pattern to generate a block of fully sampled k-space; providing at least two sets of auto-calibration signal (ACS) lines from the block of fully-sampled k-space; and estimating the k-space convolution kernel from the at least two sets ACS lines, whereby Generalized Auto-calibrating Partially Parallel Acquisitions (GRAPPA) or temporal GRAPPA (TGRAPPA) reconstruction of images is performed using the k-space convolution kernel.