Determining the components of the complement of a digital (n-1)-manifold in ℤn

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1176, Issue , 1996, Pages 163-176

  Ayala, R ^a   Dominguez E ^b   Frances A R ^b   Quintero, A ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

^b UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Digital and topological index; Digital n manifold; Digital space; Jordan Brouwer Separation Theorem

Indexed keywords

TOPOLOGY;

ARBITRARY DIMENSION; DIGITAL N-MANIFOLD; DIGITAL SPACE; DIGITAL TOPOLOGY; EUCLIDEAN SPACES; NEW APPROACHES; SEPARATION THEOREM; TOPOLOGICAL INDEX;

GEOMETRY;

EID: 21444455964     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-62005-2_14     Document Type: Conference Paper

References (12)

1. R. Ayala, E. Dominguez, A.R. Francés, A. Quintero, J. Rubio. On surfaces in digital topology. Proceedings of the 5th Colloquium on Discrete Geometry for Computer Imagery DGCF5. 271-276 (1995).
2. R. Ayala, E. Dominguez, A.R. Frances, A. Quintero, J. Rubio. A polyhedral approach to n-dimensional digital topology. Preprint.
3. R.H. Bing. The geometric topology of 3-manifolds. Coll. Pub., 40. Amer. Math. Soc. 1983.
4. A. Dold. Algebraic Topology, Die Giundlehren der Math., 200, Springer, 1972.
5. E. Dominguez, A.R. Francés, A. Marquez. A Framework for Digital Topology. Proceedings of the IEEE International Conference on Systems, Man, and Cybernetics, vol. 2, 65-70, 1993.
6. E. Khalimsky, R. Kopperman, P.R. Meyer. Computer Graphics and connected topologies on finite ordered sets. Topology and its Applications, 36 (1990), 1-17.
7. T.Y. Kong, A.W. Roscoe. Continuous Analogs of Axiomatized Digital Surfaces. Computer Vision, Graphics, and Image Processing 29, 60-86 (1985).
8. W.S. Massey. Homology and Cohomology Theory. Marcel Dekker, 1978.
9. D.G. Morgenthaler, A. Rosenfeld. Surfaces in Three-Dimensional Digital Images. Information and Control 51, 227-247 (1981).
10. F. Raymond. Separation and union theorems for generalized manifolds with boundary. Michigan Math. J. 7 (1970) 1-21.
11. A. Rosenfeld. Digital Topology. Amer. Math. Monthly, 86 (1979), 621-630.
12. C.P. Rourke, B.J. Sanderson. Introduction to Piecewise linear topology. Ergebnisse der Math., 69. Springer, 1972.