Presentation
On surfaces in digital topology
Author/s | Ayala Gómez, Rafael
![]() ![]() ![]() ![]() ![]() ![]() Domínguez Murillo, Eladio Francés Román, Ángel Ramón Quintero Toscano, Antonio Rafael ![]() ![]() ![]() ![]() ![]() ![]() Rubio Sender, Julio |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 1995 |
Deposit Date | 2017-05-25 |
Published in |
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Abstract | 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 ... 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. |
Funding agencies | Dirección General de Investigación Científica y Técnica (DGICYT). España Universidad de La Rioja |
Project ID. | DGICYT PB92-0672
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Citation | Ayala Gómez, R., Domínguez Murillo, E., Francés Román, Á.R., Quintero Toscano, A.R. y Rubio Sender, J. (1995). On surfaces in digital topology. En 5th International Workshop on Discrete Geometry for Computer Imagery, Clermont-Ferrand (France). |
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