Tensor tomography

Author

Gullberg, Grant T. ; Roy, Dilip Ghosh ; Basko, Roman E. ; Zeng, Gengsheng L.

Author_Institution

Dept. of Radiol., Utah Univ., Salt Lake City, UT, USA

Volume

2

fYear

1998

fDate

1998

Firstpage

1165

Abstract

Vector tomography has been shown to be useful in areas of applied physics and medical imaging. However, as of yet, there is little work on tomographic reconstruction of tensor fields, which has potential for applications in several areas of medical imaging. These include MRI diffusion imaging, various applications of imaging deformation, and imaging applications involving solutions of electromagnetic inverse problems such as ECG and MCG. A symmetric tensor can be decomposed into a solenoidal and an irrotational component. In this paper, Fourier projection theorems are developed for the reconstruction of these components. Results of a computer simulation are presented that demonstrate the validity of the mathematical results

Keywords

Fourier transforms; convolution; image reconstruction; iterative methods; medical image processing; polynomials; tensors; tomography; 2D field; ECG imaging applications; Fourier projection theorems; Fourier transform; MCG imaging applications; MRI diffusion imaging; computer simulation; convolution; electromagnetic inverse problems; imaging deformation; irrotational component; iterative reconstruction; medical imaging; polynomials; second order field; solenoidal component; symmetric tensor; tensor fields; tensor image reconstruction; tensor tomography; tomographic reconstruction; Application software; Biomedical imaging; Computer simulation; Electrocardiography; Image reconstruction; Inverse problems; Magnetic resonance imaging; Physics; Tensile stress; Tomography;

fLanguage

English

Publisher

ieee

Conference_Titel

Nuclear Science Symposium, 1998. Conference Record. 1998 IEEE

Conference_Location

Toronto, Ont.

ISSN

1082-3654

Print_ISBN

0-7803-5021-9

Type

conf

DOI

10.1109/NSSMIC.1998.774367

Filename

774367