A general exact reconstruction for cone-beam CT via backprojection-filtration

Author

Ye, Yangbo ; Zhao, Shiying ; Yu, Hengyong ; Wang, Ge

Author_Institution

Depts. of Math. & Radiol., Univ. of Iowa, Iowa City, IA, USA

Volume

24

Issue

9

fYear

2005

Firstpage

1190

Lastpage

1198

Abstract

In this paper, we prove a generalized backprojection-filtration formula for exact cone-beam image reconstruction with an arbitrary scanning locus. Our proof is independent of the shape of the scanning locus, as long as the object is contained in a region where there is a chord through any interior point. As special cases, this generalized formula can be applied with cone-beam scanning along nonstandard spiral and saddle curves, as well as in an n-PI window setting. The algorithmic implementation and numerical results are described to support the correctness of our general claim.

Keywords

biomedical imaging; computerised tomography; image reconstruction; backprojection-filtration; cone-beam computed tomography; general exact reconstruction; image reconstruction; nonstandard saddle curves; nonstandard spiral curves; scanning locus; Angiography; Biomedical imaging; Cities and towns; Computed tomography; Image reconstruction; Imaging phantoms; Mathematics; Radiology; Shape; Spirals; Backprojection-filtration; computed tomography (CT); cone-beam; exact reconstruction; filtered-backprojection; Algorithms; Artificial Intelligence; Brain; Humans; Imaging, Three-Dimensional; Phantoms, Imaging; Radiographic Image Enhancement; Radiographic Image Interpretation, Computer-Assisted; Reproducibility of Results; Sensitivity and Specificity; Tomography, Spiral Computed;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/TMI.2005.853626

Filename

1501924