Homotopy in two-dimensional digital images

Theoretical Computer Science

Volumn 230, Issue 1-2, 2000, Pages 221-233

  Malgouyres, Rémy ^a  

^a Centre National de la Recherche Scientifique   (France)

Author keywords

Digital topology; Fundamental group; Homotopy

Indexed keywords

EID: 0002203464     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(98)00347-8     Document Type: Article

References (7)

1. G. Bertrand, Simple points, topological numbers and geodesic neighbourhoods in cubic grids, Pattern Recognition Lett 15 (1994) 1003-1011.
2. M.D. Davis, Computability and Unsolvability, McGraw-Hill, New York.
3. T.Y. Kong, A digigial fundamental group, Comput. Graphics 13 (1989) 159-166.
4. T.Y. Kong, Polyhedral analogs of locally topological spaces, in: R.M. Shortt (Ed.), General Topology and Applications: Proc. 1988 North-east Conf., Middletown, CT, USA, Lecture Notes in Pure and Applied Mathematics, vol. 123, 1990, pp. 153-164.
5. R. Malgouyres, A. Lenoir, Topology preservation within digital surfaces, Proc. Computer Graphics and Image Processing, Warsaw, May 1998, machine Graph. Vision 7 (1/2) (1998) 417-425.
6. A. Rosenfeld, Arcs and curves in digital pictures, J. ACM 20 (1973) 81-87.
7. A. Tarski, Indecidability of group theory, J. Symbol. Logic 14 (1949) 76-77.