Eigen-vector approach for coil sensitivity maps estimation

• Main Authors: Nadar, Mariappan S, Xue, Hui, Mueller, Edgar, Liu, Jun, Nickel, Marcel Dominik, Chang, Ti-chiun, Lefebvre, Alban, Wang, Qiu, Zenge, Michael, Yang, Zhili, Janardhanan, Nirmal
• Format: Patent
• Language: English
• Published: 09.02.2021
• Subjects: ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVEREDIN A SINGLE OTHER SUBCLASS; INDICATING PRESENCE, ABSENCE, OR DIRECTION, OF MOVEMENT; MEASURING; MEASURING ELECTRIC VARIABLES; MEASURING LINEAR OR ANGULAR SPEED, ACCELERATION, DECELERATION,OR SHOCK; MEASURING MAGNETIC VARIABLES; MEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR; PHYSICS; TARIFF METERING APPARATUS; TESTING

A method for estimating a coil sensitivity map for a magnetic resonance (MR) image includes providing a matrix A of sliding blocks of a 3D image of coil calibration data, calculating a left singular matrix V from a singular value decomposition of A corresponding to τ leading singular values, calculating P=V V H, calculating a matrix S that is an inverse Fourier transform of a zero-padded matrix P, and solving MHcr=(Sr)Hcr for cr, where cr is a vector of coil sensitivity maps for all coils at spatial location r, and M = ( ( 1 1 1 0 0 0 0 0 0 )  ( 0 0 0 1 1 1 0 0 0 )     ( 0 0 0 0 0 0 1 1 1 ) ) .