A flexible iterative method for 3D reconstruction from X-ray projections

Author

Launay, Laurent ; Bouchet, Pierre ; Maurincomme, Eric ; Berger, Marie-Odile ; Mallet, Jean-Laurent

Author_Institution

CRIN, CNRS, Vandoeuvre-les-Nancy, France

Volume

3

fYear

1996

fDate

25-29 Aug 1996

Firstpage

513

Abstract

The problem of reconstructing a 3D image of an object from a few number of X-ray projections is highly underdetermined. We propose a flexible method based on the regularization of the inverse linear problem with a general quadratic criterion. The minimization is performed by an iterative algorithm with a Gauss-Seidel behaviour. Due to the discrete smooth interpolation formulation, additional linear constraints are inserted, and the method is ensured to converge to the unique minimum. The application of this method is shown for 3D reconstruction of cerebral blood vessels from six projections, and the effect of various criteria is compared to the result of other algebraic methods

Keywords

X-ray imaging; image reconstruction; interpolation; iterative methods; medical image processing; minimisation; stereo image processing; 3D image reconstruction; Gauss-Seidel behaviour; X-ray projections; cerebral blood vessels; discrete smooth interpolation; flexible iterative method; general quadratic criterion; inverse linear problem; minimization; Biomedical imaging; Blood vessels; Gaussian processes; Image reconstruction; Interpolation; Iterative algorithms; Iterative methods; Medical diagnostic imaging; Pixel; X-ray imaging;

fLanguage

English

Publisher

ieee

Conference_Titel

Pattern Recognition, 1996., Proceedings of the 13th International Conference on

Conference_Location

Vienna

ISSN

1051-4651

Print_ISBN

0-8186-7282-X

Type

conf

DOI

10.1109/ICPR.1996.547000

Filename

547000