The Trace transform and its applications

Author

Kadyrov, Alexander ; Petrou, Maria

Author_Institution

Sch. of Electron., Comput. & Math., Surrey Univ., Guildford, UK

Volume

23

Issue

8

fYear

2001

fDate

8/1/2001 12:00:00 AM

Firstpage

811

Lastpage

828

Abstract

The Trace transform proposed, a generalization of the Radon transform, consists of tracing an image with straight lines along which certain functionals of the image function are calculated. Different functionals that can be used may be invariant to different transformations of the image. The paper presents the properties the functionals must have in order to be useful in three different applications of the method: construction of invariant features to rotation, translation and scaling of the image, construction of sensitive features to the parameters of rotation, translation and scaling of the image, and construction of features that may correlate well with a certain phenomenon we wish to monitor

Keywords

Radon transforms; feature extraction; functional equations; image retrieval; visual databases; Radon transform; Trace transform; image database retrieval; image function; image tracing; rotation invariance; scaling invariance; straight lines; translation invariance; Application software; Computed tomography; Condition monitoring; Fault detection; Fault diagnosis; Foot; Image databases; Image reconstruction; Spatial databases; Surveillance;

fLanguage

English

Journal_Title

Pattern Analysis and Machine Intelligence, IEEE Transactions on

Publisher

ieee

ISSN

0162-8828

Type

jour

DOI

10.1109/34.946986

Filename

946986