The generalized spherical homeomorphism theorem for digital images

Author

Abrams, L. ; Fishkind, D.E. ; Priebe, Carey E.

Author_Institution

Dept. of Math., George Washington Univ., DC, USA

Volume

23

Issue

5

fYear

2004

fDate

5/1/2004 12:00:00 AM

Firstpage

655

Lastpage

657

Abstract

The spherical homeomorphism conjecture, proposed by Shattuck and Leahy in 2001, serves as the backbone of their algorithm to correct the topology of magnetic resonance images of the human cerebral cortex. Using a canonical image-thickening technique and the authors\´ previously proven "spherical homeomorphism theorem for surfaces," we formulate and prove a spherical homeomorphism theorem which is valid for all digital images when utilizing the (26,6)-connectivity rule.

Keywords

biomedical MRI; brain; medical image processing; (26,6)-connectivity rule; AD 2001; canonical image-thickening technique; digital images; digital topology; generalized spherical homeomorphism theorem; human cerebral cortex; magnetic resonance images; Cerebral cortex; Digital images; Humans; Image resolution; Magnetic noise; Magnetic resonance; Rendering (computer graphics); Spine; Topology; Tree graphs; Algorithms; Animals; Artifacts; Cerebral Cortex; Humans; Image Enhancement; Image Interpretation, Computer-Assisted; Magnetic Resonance Imaging; Signal Processing, Computer-Assisted;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/TMI.2004.826049

Filename

1295084