Estimation of affine transformations directly from tomographic projections

Author

Mooser, René ; Hack, Erwin ; Sennhauser, Urs ; Székely, Gábor

Author_Institution

Electron./Metrol. Lab., Swiss Fed. Labs. for Mater. Testing & Res. (EMPA), Duebendorf, Switzerland

fYear

2009

fDate

16-18 Sept. 2009

Firstpage

377

Lastpage

382

Abstract

This paper presents a new approach to estimate affine transformations from tomographic projections. Instead of estimating the deformation from the reconstructed data, we introduce a method which works directly in the projection data. Using a parallel beam geometry, we show that any affine transformation results in scaling and translation of the projection data. Furthermore, we present a method which recovers the parameters of the deformation. Numerical experiments conclude the paper.

Keywords

Radon transforms; X-ray imaging; affine transforms; computerised tomography; affine transformation estimation; deformation parameters; numerical experiments; parallel beam geometry; projection data scaling; projection data translation; tomographic projections; Computed tomography; Computer hacking; Computer vision; Electromagnetic wave absorption; Geometry; Image reconstruction; Laboratories; Materials testing; Metrology; X-ray imaging;

fLanguage

English

Publisher

ieee

Conference_Titel

Image and Signal Processing and Analysis, 2009. ISPA 2009. Proceedings of 6th International Symposium on

Conference_Location

Salzburg

ISSN

1845-5921

Print_ISBN

978-953-184-135-1

Type

conf

DOI

10.1109/ISPA.2009.5297700

Filename

5297700