Computing Reconstruction Kernels for Circular 3-D Cone Beam Tomography

Author

Louis, Alfred K. ; Weber, Thomas ; Theis, David

Author_Institution

Dept. of Math., Saarland Univ., Saarbrucken

Volume

27

Issue

7

fYear

2008

fDate

7/1/2008 12:00:00 AM

Firstpage

880

Lastpage

886

Abstract

In this paper, we present techniques for deriving inversion algorithms in 3-D computer tomography. To this end, we introduce the mathematical model and apply a general strategy, the so-called approximate inverse, for deriving both exact and numerical inversion formulas. Using further approximations, we derive a 2-D shift-invariant filter for circular-orbit cone-beam imaging. Results from real data are presented.

Keywords

computerised tomography; filtering theory; image reconstruction; inverse problems; medical image processing; 2-D shift-invariant filter; approximate inverse strategy; circular 3-D cone beam tomography; circular-orbit cone-beam imaging; computing reconstruction kernels; inversion algorithms; mathematical model; numerical inversion formulas; Computed tomography; Damping; Geometry; Hilbert space; Image reconstruction; Inverse problems; Kernel; Mathematical model; Mathematics; X-ray imaging; Cone-beam computed tomography (CT); X-ray tomography; inverse problems; mollifier; reconstruction kernel; Algorithms; Artificial Intelligence; Computer Simulation; Fourier Analysis; Humans; Imaging, Three-Dimensional; Models, Theoretical; Numerical Analysis, Computer-Assisted; Phantoms, Imaging; Software; Tomography, X-Ray Computed;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/TMI.2008.922188

Filename

4550623