Computation of unmeasured third-generation VCT views from measured views

Author

Patch, Sarah K.

Author_Institution

Appl. Sci. Lab., GE Med. Syst., Milwaukee, WI, USA

Volume

21

Issue

7

fYear

2002

fDate

7/1/2002 12:00:00 AM

Firstpage

801

Lastpage

813

Abstract

We compute unmeasured cone-beam projections from projections measured by a third-generation helical volumetric computed tomography system by solving a characteristic problem for an ultrahyperbolic differential equation [John (1938)]. By working in the Fourier domain, we convert the second-order PDE into a family of first-order ordinary differential equations. A simple first-order integration is used to solve the ODES.

Keywords

computerised tomography; differential equations; image reconstruction; medical image processing; Fourier domain; characteristic problem solution; cone-beam projections; first-order ordinary differential equations; measured views; medical diagnostic imaging; range conditions; simple first-order integration; third-generation helical volumetric computed tomography system; ultrahyperbolic differential equation; unmeasured third-generation VCT views computation; Computational geometry; Computed tomography; Concurrent computing; Detectors; Differential equations; Image reconstruction; Integral equations; Partial differential equations; Two dimensional displays; Volume measurement; Algorithms; Computer Simulation; Fourier Analysis; Imaging, Three-Dimensional; Phantoms, Imaging; Radiographic Image Enhancement; Sensitivity and Specificity; Signal Processing, Computer-Assisted; Tomography, Spiral Computed;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/TMI.2002.801164

Filename

1036024