MRI Pulse Sequence Design With First-Order Gradient Moment Nulling in Arbitrary Directions by Solving a Polynomial Program

Author

Majewski, Kurt ; Heid, Oliver ; Kluge, Thomas

Author_Institution

Corp. Technol., Siemens AG, Munich, Germany

Volume

29

Issue

6

fYear

2010

fDate

6/1/2010 12:00:00 AM

Firstpage

1252

Lastpage

1259

Abstract

We suggest a polynomial program for the calculation of optimized gradient waveforms for magnetic resonance tomography pulse sequences. Such non-linear mathematical programs can describe gradient system capabilities, meet k-space trajectory specifications, and capture sequence timing conditions. Moreover they allow the incorporation of gradient moment nulling constraints in one or several arbitrary spatial directions, which can reduce flow motion artifacts in the images. We report first experiences in solving such automatic pulse sequence design programs with the interior point solver Ipopt.

Keywords

biomedical MRI; gradient methods; image motion analysis; medical image processing; nonlinear programming; polynomials; Ipopt; MRI; arbitrary directions; automatic pulse sequence design; first-order gradient moment nulling; flow motion artifacts; interior point solver; k-space trajectory specifications; magnetic resonance imaging; magnetic resonance tomography pulse sequences; nonlinear mathematical programs; optimized gradient waveforms; polynomial program; sequence timing conditions; Constraint optimization; Degradation; Humans; Magnetic resonance; Magnetic resonance imaging; Motion compensation; Polynomials; Pulse generation; Timing; Tomography; Double spin echo sequence; gradient moment; nonlinear optimization; timing constraint; Algorithms; Artifacts; Image Enhancement; Image Interpretation, Computer-Assisted; Magnetic Resonance Imaging; Motion; Reproducibility of Results; Sensitivity and Specificity; Signal Processing, Computer-Assisted;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/TMI.2010.2042723

Filename

5433013