Reconstruction of vector fields in bounded domain vector tomography

Author

Osman, Nael F. ; Prince, Jerry L.

Author_Institution

Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA

Volume

1

fYear

1997

fDate

26-29 Oct 1997

Firstpage

476

Abstract

This paper considers the problem of vector tomography on an arbitrary bounded domain in three dimensions. Previous work has given the formulas for the reconstructed scalar and vector potential functions in relation to the vector field values inside the domain and on the boundary of the domain. Using these formulas. It is shown that the curl-free component can be reconstructed using only one probe measurement, and the divergence-free component can be reconstructed using only two probe measurements. No boundary measurements are necessary

Keywords

computerised tomography; integral equations; probes; signal reconstruction; transforms; vectors; bounded domain vector tomography; curl-free component; divergence-free component; domain boundary; plane integrals; probe measurements; scalar potential function; vector fields reconstruction; vector potential function; Acoustic measurements; Doppler measurements; Image analysis; Image reconstruction; Laboratories; Magnetic field measurement; Magnetic materials; Magnetic resonance imaging; Probes; Tomography;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1997. Proceedings., International Conference on

Conference_Location

Santa Barbara, CA

Print_ISBN

0-8186-8183-7

Type

conf

DOI

10.1109/ICIP.1997.647811

Filename

647811