K-space sample density compensation for magnetic resonance image reconstruction

US8473028B2 · kind B2 · utility

Assignees

• The Brigham and Women's Hospital, Inc. · US
• Children's Medical Center Corporation · US

Inventors

• Dimitrios Mitsouras · Brookline, US
• Frank J. Rybicki · Sudbury, US
• Robert V. Mulkern · Newton, US

Key dates

• Filing date: Nov 21, 2008
• Grant date: Jun 25, 2013
• Expiry date: Dec 4, 2029

Classification

• Technology area (CPC G): Physics
• CPC primary: G01R33/5608
• WIPO field: Measurement
• WIPO sector: Instruments

Abstract

The present invention provides a method for producing density-compensated MR images having improved signal-to-noise ratio and with reduced computational burden. The method includes sampling MR data using a rotationally symmetric acquisition trajectory, generating a cross-correlation matrix, and applying a discreet Fourier transform (DFT) to the acquired MR data and the cross correlation matrix. The method further includes employing the transformed MR data and transformed cross-correlation matrix in a linear system to produce a set of density-compensated transformed MR data, which may transformed into density compensated MR data by application of an inverse DFT. The density compensated MR data may be reconstructed by a variety of techniques to produce density compensated images.