MRI reconstruction of multi-image acquisitions using a rank regularizer with data reordering

作者：Adluru Ganesh^*; Gur Yaniv; Chen Liyong; Feinberg David; Anderson Jeffrey; DiBella Edward V R

来源：Medical Physics, 2015, 42(8): 4734-4744.

DOI：10.1118/1.4926777

• low rank
• multi-image MRI
• dynamic MRI
• diffusion
• cardiac perfusion
• reordering
• compressed sensing

Purpose: To improve rank constrained reconstructions for undersampled multi-image MRI acquisitions.
Methods: Motivated by the recent developments in low-rank matrix completion theory and its applicability to rapid dynamic MRI, a new reordering-based rank constrained reconstruction of undersampled multi-image data that uses prior image information is proposed. Instead of directly minimizing the nuclear norm of a matrix of estimated images, the nuclear norm of reordered matrix values is minimized. The reordering is based on the prior image estimates. The method is tested on brain diffusion imaging data and dynamic contrast enhanced myocardial perfusion data.
Results: Good quality images from data undersampled by a factor of three for diffusion imaging and by a factor of 3.5 for dynamic cardiac perfusion imaging with respiratory motion were obtained. Reordering gave visually improved image quality over standard nuclear norm minimization reconstructions. Root mean squared errors with respect to ground truth images were improved by similar to 18% and similar to 16% with reordering for diffusion and perfusion applications, respectively.
Conclusions: The reordered low-rank constraint is a way to inject prior image information that offers improvements over a standard low-rank constraint for undersampled multi-image MRI reconstructions.

• 出版日期2015-8
• 单位IBM