1. High-Permittivity Pad Design for Dielectric Shimming in Magnetic Resonance Imaging Using Projection-Based Model Reduction and a Nonlinear Optimization Scheme
- Author
-
J. H. F. van Gemert, Rob Remis, Andrew G. Webb, and Wyger M. Brink
- Subjects
Male ,Permittivity ,Image quality ,Dimension (graph theory) ,Dielectric ,B-1(+) fields ,030218 nuclear medicine & medical imaging ,Reduction (complexity) ,dielectric shimming ,03 medical and health sciences ,0302 clinical medicine ,Magnetic resonance imaging ,Cerebellum ,Image Processing, Computer-Assisted ,Humans ,Electrical and Electronic Engineering ,fields ,Model order reduction ,Physics ,Radiological and Ultrasound Technology ,Mathematical analysis ,Computer Science Applications ,Projection (relational algebra) ,Nonlinear Dynamics ,Female ,Radio frequency ,high-permittivity pads ,optimization ,Algorithms ,030217 neurology & neurosurgery ,Software ,reduced order modeling - Abstract
Inhomogeneities in the transmit radio frequency magnetic field ( ${\text{B}}_{1}^{+}$ ) reduce the quality of magnetic resonance (MR) images. This quality can be improved by using high-permittivity pads that tailor the ${\text{B}}_{1}^{+}$ fields. The design of an optimal pad is application-specific and not straightforward and would therefore benefit from a systematic optimization approach. In this paper, we propose such a method to efficiently design dielectric pads. To this end, a projection-based model order reduction technique is used that significantly decreases the dimension of the design problem. Subsequently, the resulting reduced-order model is incorporated in an optimization method in which a desired field in a region of interest can be set. The method is validated by designing a pad for imaging the cerebellum at 7 T. The optimal pad that is found is used in an MR measurement to demonstrate its effectiveness in improving the image quality.
- Published
- 2018