Published May 25, 2017
| Version v1
Publication
On surfaces in digital topology
Description
In R. Ayala, E. Domínguez, A.R. Francés, A. Quintero, J. Rubio. A Polyhedral Approach to Digital Topology a new framework for digital topology has been proposed. This framework offers the possibility of transfering, in an easy way, definitions, statements and proofs from continuous topology to digital topology. In particular, it provides a straightforward definition of n-dimensional digital manifold. In this paper we prove that the class of digital 2-manifolds without boundary in the grid Z3
agrees with the class of (26, 6)-surfaces defined by Kong-Roscoe
and other authors. As a consequence, the separation theorem for digital surfaces stated in D.G. Morgenthaler, A. Rosenfeld. Surfaces in threedimensional digital images. Information and Control, 51 (1981), 227-247] and G.M. Reed. On the Characterization of Simple Closed Surfaces
in Three-dimensional Digital Images. Computer Graphics and Image Processing, 25 (1984), 226-235 is obtained.
Abstract
Dirección General de Investigación Científica y TécnicaAbstract
Universidad de La RiojaAdditional details
Identifiers
- URL
- https://idus.us.es/handle/11441/60466
- URN
- urn:oai:idus.us.es:11441/60466