Patent ID: 9310452
Filing Date: 2016-04-12
CPC Classification: G01R

Claim Text:
1. A method of determining a Self-Constraint (SC) GeneRalized Autocalibrating Partially Parallel Acquisition (GRAPPA) reconstruction, comprising: sampling k-space data as a set of ACS lines acquired from a magnetic resonance imaging (MRI) apparatus; estimating a GRAPPA kernel from the ACS lines; estimating a null projection matrix N from the ACS lines; performing a GRAPPA reconstruction to calculate k calculating a k-space of the SC-GRAPPA in accordance with the GRAPPA reconstruction and a self-constraint condition defined by local k-space correlations among acquired and unacquired k-space samples, the self-constraint condition being a set of linear equations determined in accordance with correlations within missing k-space data, as follows: wherein w and v are random noise terms, wherein k is vectorized local k-space data, and wherein calculating the k-space of the SC-GRAPPA is performed in accordance with: wherein Q and R are covariance matrices of w and v, respectively; and performing image reconstruction by transforming the k-space of the SC-GRAPPA into MRI image data that is displayed in a human comprehensible format.