Subdivisions de surfaces et cartes généralisées de dimension 2

 Access to full text

 Full (PDF)

1. 1. S. ANSALDI, L. DE FLORIANI et B. FALCIDIENO, Geometric Modeling of Solid Objects by Using a Face Adjacency Graph Representation, Computer Graphics, 1985, 19, n° 3, p. 131-139 (Siggraph'85). 
2. 2. D. ARQUÈS et P. KOCH, Modélisation de solides par les pavages, Proceedings of Pixim'89, Paris, France, 25-29 septembre 1989, p. 47-61 (éditions Hermès). 
3. 3. B. BAUMGART, A Polyhedron Representation for Computer Vision, AFIPS Nat. Conf. Proc., 1975, 44, p. 589-596. 
4. 4. C. BERGE, Graphes et hypergraphes, Dunod, Paris, 1970. Zbl0213.25702MR357173
5. 5. E. BRISSON, Representing Geometric Structures in d Dimensions: Topology and order, Proceedings of the 5th A.C.M. Symposium on Computational Geometry, Saarbrücken, R.F.A., 5-7 juin 1989, p. 218-227. 
6. 6. R. CORI, Un code pour les graphes planaires et ses applications, Astérisque, n° 27, 1975. Zbl0313.05115MR404045
7. 7. D. DOBKIN et M. LASZLO, Primitives for the Manipulation of Three-Dimensional Subdivisions, Proceedings of the 3th A.C.M. Symposium on Computational Geometry, Waterloo, Canada, 8-10 june 1987, p. 86-99. 
8. 8. J.-F. DUFOURD, Spécification Progressive d'une Algèbre pour Manipuler les Cartes Topologiques Orientées, Proceedings of Pixim '88, Paris, France, 24-28 octobre 1988, p. 61-80 (éditions Hermès). 
9. 9. J.-F. DUFOURD, C. GROSS et J.-C. SPEHNER, A Digitisation Algorithm for the Entry of Planar Maps, Proceedings of Computer Graphics International'89, Leeds, U.K., 1989, Springer-Verlag. 
10. 10. J.-F. DUFOURD, A Topological Map-Based Kernel for Polyhedron Modellers: Algebraic Specification and Logic Prototyping, Proceedings of Eurographics'89, Hambourg, R.F.A., 4-8 septembre 1989, p. 301-312, North-Holland. 
11. 11. J. EDMONDS, A Combinatorial Representation for Polyhedral Surfaces, Notices Amer. Math. Soc, n° 7, 1970. 
12. 12. H.-B. GRIFFITHS, Surfaces, Cambridge University Press, Cambridge, 2e édition, 1981, édition française : Cedec, 1977. Zbl0457.57001MR643479
13. 13. L. GUIBAS et J. STOLFI, Primitives for the Manipulation of General Subdivisions and the Computation of Voronoï Diagrams, A.C.M. Transactions on Graphics, 1985, n° 2, p. 74-123. Zbl0586.68059
14. 14. A. JACQUE, Constellations et graphes topologiques, Colloque Math. Soc. Janos Bolyai, North-Holland, 1970, p. 657-672. Zbl0213.25901MR297622
15. 15. L. JAMES, Maps and Hypermaps: Operations and Symmetry, PhD thesis, Department of Mathematics, University of Southampton, U.K., August 1985. 
16. 16. P. LIENHARDT, Extension of the Notion of Map and Subdivisions of a Three-Dimensional Space, Lecture Notes in Computer Science, n° 294, p. 301-311, Proceedings of the 5th Symposium on the Theoretical Aspects of Computer Science, february 1988, Bordeaux, France. Zbl0654.05026MR935806
17. 17. P. LIENHARDT, Subdivisions de surfaces, cartes et S-V-cartes, Research Report R88-4, Department of Computer Science, University Louis Pasteur, Strasbourg, France. Zbl0734.68095
18. 18. P. LIENHARDT, Subdivisions of Surfaces and Generalized Maps, Proceedings of Eurographics' 89, Hamburg, R.F.A., 4-8 septembre 1989, p. 439-452, North-Holland. 
19. 19. P. LIENHARDT, Subdivisions of N-Dimensional Spaces and N-Dimensional Generalized Maps, Proceedings of the 5th A.C.M. Symposium on Computational Geometry, Saarbrücken, R.F.A., 5-7 juin 1989, p. 228-236. 
20. 20. M. MÄNTYLÄ, Computational Topology: a Study of Topological Manipulations and Interrogations in Computer Graphics and Geometric Modeling, Acta Polytechnica Scandinavia, n° 37, 1983, Helsinski. Zbl0505.68042MR703203
21. 21. L. PUTNAM et P. SUBRAHMANYAM, Boolean Operations on N-Dimensional Objects, IEEE Computer Graphics and Applications, Juin 1986, p. 43-51. 
22. 22. A. REQUICHA, Representations for Rigid Solids: Theory, Methods and Systems, Computing Surveys, 1980, 12, n° 4, p. 437-464. 
23. 23. H. SEIFERT et W. THRELFALL, Lehrbuch der Topologie, Chelsea, New York, 1947. 
24. 24. J.-C. SPEHNER, Merging in Maps and Paving, Research Report n° 48, Laboratoire de Mathématiques et Informatique, Université de Haute-Alsace, Mulhouse, France. Zbl0733.68093
25. 25. W. TUTTE, Graph Theory, Encyclopedia of Mathematics and its Applications, Addison-Wesley, 1984. Zbl0554.05001MR746795
26. 26. K. WEILER, Edge-based Data Structures for Solid Modeling in Curved-Surface Environments, Computer Graphics and Applications, 1985, 5, n° 1, p. 21-40.