FBP and the interior problem in 2D tomography

Author

Bilgot, Anne ; Desbat, Laurent ; Perrier, Valerie

Author_Institution

TIMC-IMAG, UJF-Grenoble 1, Grenoble, France

fYear

2011

fDate

23-29 Oct. 2011

Firstpage

4080

Lastpage

4085

Abstract

We consider the Filtered Back Projection reconstruction method in the case of interior data in Computerized Tomography. In this framework we prove that the difference between the FBP reconstruction and the measured function is a continuous function. This demonstrates that the FBP reconstruction contains the discontinuities of the measured image. Thus FBP can be considered as a local reconstruction method in CT. We show numerical experiments on both simulated and real data.

Keywords

computerised tomography; image reconstruction; medical image processing; numerical analysis; 2D tomography; CT; computerized tomography; continuous function; filtered back projection reconstruction method; interior problem; local reconstruction method; Tomography;

fLanguage

English

Publisher

ieee

Conference_Titel

Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC), 2011 IEEE

Conference_Location

Valencia

ISSN

1082-3654

Print_ISBN

978-1-4673-0118-3

Type

conf

DOI

10.1109/NSSMIC.2011.6153776

Filename

6153776

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3342114