Eigen-vector approach for coil sensitivity maps estimation

Abstract

A method for estimating a coil sensitivity map for a magnetic resonance (MR) image includes providing (61) a matrix A of sliding blocks of a 2D image of coil calibration data, calculating (62) a left singular matrix V_∥ from a singular value decomposition of A corresponding to τ leading singular values, calculating (63) P=V_∥V_∥^H, calculating (64) a matrix S that is an inverse Fourier transform of a zero-padded matrix P, and solving (65) M^Hc^r=(S^r)^Hc^r for c^r, where c^r is a vector of coil sensitivity maps for all coils at spatial location r, and

$M\left(\left(\begin{array}{cccc}1& 1& \dots & 1\\ 0& 0& \dots & 0\\ \dots & \dots & & \dots \\ 0& 0& \dots & 0\end{array}\right)\left(\begin{array}{cccc}0& 0& \dots & 0\\ 1& 1& \dots & 1\\ \dots & \dots & & \dots \\ 0& 0& \dots & 0\end{array}\right)\dots \left(\begin{array}{cccc}0& 0& \dots & 0\\ 0& 0& \dots & 0\\ \dots & \dots & & \dots \\ 1& 1& \dots & 1\end{array}\right)\right).$

Description

CROSS REFERENCE TO RELATED UNITED STATES APPLICATIONS[0001]This application claims priority from “On the Eigen-Vector Approach for Coil Sensitivity Maps Estimation”, U.S. Provisional Application No. 61 / 618,002 of Liu, et al., filed Mar. 30, 2012, “Coil Sensitivity maps Estimation in Dynamic CMRI: Square Could be Better than Rectangular”, U.S. Provisional Application No. 61 / 724,023 of Liu, et al., filed Nov. 8, 2012, and “An Eigen-Vector Approach for Coil Sensitivity Estimation in the 3D Scenario”, U.S. Provisional Application No. 61 / 724,001 of Liu, et al., filed Nov. 8, 2012, the contents of all of which are herein incorporated by reference in their entireties.TECHNICAL FIELD[0002]This disclosure is directed to methods for estimating coil sensitivity maps (CSM) of magnetic resonance imaging (MRI) apparatuses.DISCUSSION OF THE RELATED ART[0003]Parallel imaging makes use of multiple receiver coils to acquire the image in parallel. It can be used to accelerate the image acquisition by ...

AI Technical Summary

Benefits of technology

[0006]Exemplary embodiments of the invention as described herein generally include methods for coil sensitivity maps (CSM) estimation for 2-D MR images. Embodiments of the invention mathematically derive an eigenvector approach and show that the coil sensitivity maps at a given spatial location can be obtained by solving a generalized eigenvalue system. Embodiments of the invention establish relationships between the generalized eigenvalue system and two related eigenvalue syst

Problems solved by technology

However, when the object is not static, the sensitivity functions are different between pre-scan and under-sampled scans, and this could lead to reconstruction errors.

To compensate for this, joint estimation approaches have been proposed, however, these approaches usually have high computation cost and

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