The equivalence between two definitions of digital surfaces

Information Sciences

Volumn 115, Issue 1-4, 1999, Pages 201-220

  Chen, Li ^a   Cooley, Donald H ^a   Zhang, Jianping ^a  

^a Utah State University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; PARALLEL PROCESSING SYSTEMS; THEOREM PROVING;

DIGITAL SURFACES;

EQUIVALENCE CLASSES;

EID: 0033117143     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0255(98)10072-5     Document Type: Article

References (12)

1. D.G. Morgenthaler, A. Rosenfeld, Surfaces in three-dimensional images, Inform, and Control 51 (1981) 227-247.
2. L. Chen, J. Zhang, Digital manifolds: A intuitive definition and some properties. Proceedings of the Second ACM/SIGGRAPH Symposium on Solid Modeling and Applications, Montreal, 1993.
3. L. Chen, J. Zhang, A Digital Surfaces Definition and Fast Algorithms for Surface Decision and Tracking, in: Melter, Wu (Eds.), Vision Geometry II, Proceedings of SPIE 2060, 1993.
4. T.Y. Kong, A. Rosenfeld, Digital topology: Introduction and survey, Comput. Vision Graphics Image Process 48 (1989) 357-393.
5. E. Artzy, G. Frieder, G.T. Herman, The theory, design, implementation and evaluation of a three-dimensional surface detection algorithm, Comput. Vision Graphics Image Process 15 (1981) 1-24.
6. T.Y. Kong, A.W. Roscoe, Continuous analog of axiomatized digital surfaces, Computer Vision, Graphics, and Image Process. 29 (1985) 60-86.
7. L. Chen, A Note on (α,β)-type digital surfaces in general digital surfaces, Manuscript, 1997.
8. L. Chen, J. Zhang, Classification of Simple digital Surface Points and A Global Theorem for Simple Closed Surfaces, in: Melter, Wu (Eds.), Vision Geometry II, Proceedings of SPIE 2060, 1993.
9. V.A. Kovalevsky, Finite topology as applied to image analysis, Comput. Vision Graphics Image Process. 46 (1989) 141-161.
10. A. Rosenfeld, T.Y. Kong, A.Y. Wu, Digital surface, CVGIP: Graphical Models and Image Process. 53 (1991) 305-312.
11. G.T. Herman, D. Webster, A topological proof of a surface tracking algorithm, Comput. Vision Graphics Image Process. 23 (1983) 162-177.
12. L. Chen, J. Zhang, D.H. Cooley, Regular Polygons and Their Applications to Digital Curves, in: Melter, Wu, Latecki (Eds.), Vision Geometry V, Proceedings of SPIE 2826, 1993.