D-optimal experimental design applied to a linear magnetostatic inverse problem

Author

Bégot, S. ; Voisin, E. ; Hiebel, P. ; Artioukhine, E. ; Kauffmann, J.-M.

Volume

38

Issue

2

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

1065

Lastpage

1068

Abstract

This paper presents the use of D-optimal experimental design to improve the accuracy of the solutions of inverse problems in magnetostatics. This method is applied to the following inverse problem: finding the current density on the basis of magnetic field measurements. The basic idea is to choose the measurement point positions to build a D-optimal experiment, then to solve the inverse problem by iterative regularization. The algorithms used are discussed. Numerical results that show the large improvement in the accuracy of the solutions are presented

Keywords

current density; design of experiments; inverse problems; magnetic fields; magnetostatics; D-optimal experiment; D-optimal experimental design; MRI; current density; inverse problems; iterative regularization; linear magnetostatic inverse problem; magnetic field measurements; magnetic resonance imaging; magnetostatics; measurement point positions; parameter estimation; Coils; Current density; Design for experiments; Inverse problems; Magnetic field measurement; Magnetic fields; Magnetic flux; Magnetic resonance imaging; Magnetostatics; Position measurement;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.996273

Filename

996273