Tomographic image reconstruction using the theory of convex projections

Author

Oskoui-fard, Peyma ; Stark, Henry

Author_Institution

Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA

Volume

7

Issue

1

fYear

1988

fDate

3/1/1988 12:00:00 AM

Firstpage

45

Lastpage

58

Abstract

The method of convex projections is applied to reconstruct an image in computer tomography. This appears to the first time that the method has been used to obtain geometry-free reconstruction from ray-sum data. It is shown that a special set of convex projections duplicates the result of the algebraic reconstruction technique (ART). The similarities and differences of these two methods are discussed. It is pointed out that use of a priori information enhances the quality of the results, especially when partial data have been used, in which case ART fails. Simulations and reconstruction of a CT image are also furnished to demonstrate the feasibility of this method

Keywords

computerised tomography; a priori information; algebraic reconstruction technique; convex projections theory; partial data; ray-sum data; tomographic image reconstruction; Computed tomography; Convolution; Data mining; Detectors; Fourier transforms; Geometry; Image reconstruction; Image restoration; Object detection; Subspace constraints;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/42.3928

Filename

3928