Object discretization in higher dimensions

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

Volumn 1953 LNCS, Issue , 2000, Pages 210-221

  Brimkov, Valentin E ^a   Andres, Eric ^b   Barneva, Reneta P ^a  

^a EASTERN MEDITERRANEAN UNIVERSITY   (Turkey)

^b UNIVERSITÉ DE POITIERS   (France)

Author keywords

K Discretization; Naive discretization; Object discretization; Standard cover; Supercover

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

DISCRETIZATIONS; HIGHER DIMENSIONS; SUPERCOVER;

GEOMETRY;

EID: 0038216102     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-44438-6_18     Document Type: Conference Paper

References (21)

1. Andres, E.: An m-Flat Supercover is a Discrete Analytical Object. TR 1998-07, IRCOM-SIC, Université de Poitiers, Bat. SP2MI - BP. 179, F-86960 Futuroscope Cédex - FRANCE (1998) 210, 212
2. Andres, E.: Standard Cover: a New Class of Discrete Primitives. TR 1998-02, IRCOM-SIC, Université de Poitiers, Bat. SP2MI - BP. 179, F-86960 Futuroscope Cédex - FRANCE (1998) 210, 211, 217, 219, 220
3. Andres, E., Acharya, R., Sibata, C.: Discrete Analytical Hyperplanes. Graphical Models and Image Processing, 59 (5) (1997) 302-309 210, 217, 220
4. Barneva, R. P., Brimkov, V. E., Nehlig, P.: Thin Discrete Triangular Meshes. Theoretical Computer Science 264 (1-2) (2000) 73-105 218
5. Bresenham, J. E.: Algorithms for Computer Control of a Digital Plotter. IBM Syst. J., 4 (1) (1965) 25-30 217
6. Brimkov, V. E., Barneva, R. P.: Graceful Planes and Lines, Theoretical Computer Science, Elsevier, to appear 218
7. Brimkov, V. E., Barneva, R. P., Nehlig, P.: Minimally Thin Discrete Triangulations. In: Volume Graphics, M. Chen, A. Kaufman, R. Yagel (Eds.), Springer Verlag (2000) 51-70 218
8. Bertrand, G., Couprie, M.: A Model for Digital Topology. Lecture Notes in Computer Science, Vol. 1568, Springer-Verlag, Berlin (1999) 229-241 211
9. Cohen, D., Kaufman, A.: Fundamentals in Surface Voxelization. CGVIP Graphical Models and Image Processing, 57 (6) (1995) 211, 212
10. Debled-Rennesson, I., Reveillès, J-P.: A new approach to digital planes. In: SPIE Vision Geometry III, Boston 2356 1994 217
11. Figueiredo, O., Reveillès, J-P.: A Contribution to 3D Digital Lines. In: Proc. the 5th Internat. Workshop DGCI, Clermont-Ferrand (1995) 187-198 217
12. Françon, J.: Discrete Combinatorial Surfaces. CGVIP Graphical Models and Image Processing, 57 (1995) 217
13. Kaufman, A., Shimony, E.: 3D Schan-Conversion Algorithms for Voxel-Based Graphics. In: Proc. 1986 Workshop on Interactive 3D Graphics, Chapel Hill, NC, ACM, New York (1986) 45-75 217
14. Kong, T. Y., Kopperman, R., Meyer, P. R.: A Topological Approach to Digital Topology. American Mathematical Monthly, 38 (1991) 901-917 211
15. Kong, T. Y., Rosenfeld, A.: Digital Topology: Introduction and Survey. Computer Vision, Graphics, and Image Processing 48 (1989) 357-393 211
16. Kovalevsky, V. A.: Finite Topology as Applied to Image Analysis. Computer Vision, Graphics, and Image Processing 46 (1989) 141-161 211
17. Reveillès, J.-P.: Géométrie Discréte, Calcul en Nombres Entiers et Algorithmique. Thèse d'État, Université Louis Pasteur, Strasbourg, France (1991) 211, 217, 220
18. Stojmenovic, I., Tosic, R.: Digitization Schemes and the Recognition of Digital Straight Lines, Hyperplanes and Flats in Arbitrary Dimensions. Digital Geometry. Contemporary Math. Series, Amer. Math. Soc. Providence, RI 119 (1991) 197-212 210, 217
19. Tajine, M., Wagner, D., Ronse, C.: Hausdorff Discretizations and its Comparison to Other Discretization Schemes. Lecture Notes in Computer Science, Vol. 1568, Springer-Verlag, Berlin (1999) 399-410 211, 217
20. Veerlaert, P.: On the Flatness of Digital Hyperplanes. J. Math Imaging Vision 3 (1993) 205-221 210, 217
21. Wagner, D., Tajine, M., Ronse, C.: An Approach to Discretization Based on Hausdorff Metric. ISMM'98, Kluwer Academic Publisher (1998) 67-74 211, 217