Hausdorff discretization for cellular distances and its relation to cover and supercover discretizations

Journal of Visual Communication and Image Representation

Volumn 12, Issue 2, 2001, Pages 169-200

  Ronse, Christian ^a   Tajine, Mohamed ^a  

^a UNIVERSITÉ DE STRASBOURG   (France)

Author keywords

Cellular and regular distances; Compact sets; Hausdorff, supercover and cover discretizations

Indexed keywords

CALCULATIONS; FUNCTIONS; MATHEMATICAL MORPHOLOGY; THEOREM PROVING;

CELLULAR DISTANCES; COMPACT SETS; COVER DISCRETIZATION; HAUSDORFF DISCRETIZATION; SUPERCOVER DISCRETIZATION;

IMAGE PROCESSING;

EID: 0035359303     PISSN: 10473203     EISSN: None     Source Type: Journal    
DOI: 10.1006/jvci.2000.0458     Document Type: Article

References (30)

1. Tunnel-free supercover 3D polygons and polyhedra
2. Supercover of straight lines, planes and triangles
3. Distance transformations in digital images
4. Fundamentals of surface voxelization
5. Digitizations preserving shape
6. Digitizations preserving topological and differential geometric properties
7. A realistic digitization model of straight-lines
8. Digital geometric methods in document image analysis
9. Morphological discretization
10. Discretization of morphological operators
11. Morphological sampling
12. Preserving topology by a digitization process
13. Discretization in Hausdorff space
14. Hausdorff sampling of closed sets into a boundedly compact space
15. Digitization and connectivity
16. On the discretization of morphological operators
17. Topological properties of Hausdorff discretizations
18. Hausdorff discretizations of algebraic sets and diophantine sets
19. Preservation of topology by Hausdorff discretization, and comparison to other discretization schemes
20. Hausdorff discretization and its comparison to other discretization schemes
21. An approach to discretization based on the Hausdorff metric