Volume no :11, Issue no: 2, October (2011)

TOPOLOGICAL INVARIANTS IN DIGITAL IMAGES

Author's: LAURENCE BOXER, ISMET KARACA and AHMET ÖZTEL
Pages: [109] - [140]
Received Date: September 27, 2011
Submitted by:

Abstract

Topological invariants are very useful in various areas related to digital images and geometric modelling. In this paper, we study the simplicial homology groups of certain minimal simple closed surfaces, extend an earlier definition of the Euler characteristics of digital image, and show how to compute the Euler characteristic of several digital surfaces. In Example 4.4, we correct an error that appears in [16].

Keywords

digital topology, homology groups, Euler characteristic, homotopy groups.