Reeb graph representation of surfaces with boundary

Proceedings - Shape Modeling International SMI 2004

Volumn , Issue , 2004, Pages 371-374

  Biasotti, Silvia ^a  

^a CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

GENERIC SURFACES; GRAPH-LIKE SKETCHES; REEB GRAPH; TERRAIN-LIKE MODELS;

BOUNDARY CONDITIONS; CONTOUR FOLLOWERS; FUNCTIONS; GRAPH THEORY; PARAMETER ESTIMATION; SHAPE MEMORY EFFECT; TOPOLOGY;

SURFACES;

EID: 6344260403     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SMI.2004.1314530     Document Type: Conference Paper

References (14)

1. M. Attene, S. Biasotti, and M. Spagnuolo., "Shape understanding by contour driven retiling." The Visual Computer, vol. 19, no. 2-3, pp. 127-138, 2003.
2. S. Biasotti, B. Falcidieno, and M. Spagnuolo, "Surface Shape Understanding based on Extended Reeb Graphs," in Surface Topological Data Structures: An Introduction for Geographical Information Science, S. Rana and J. Wood, Eds. John Wiley&Sons, pp. 87-103, 2004.
3. G. Reeb, "Sur les points singulièrs d'une forme de Pfaff complètement intégrable ou d'une fonction numèrique," Comptes Rendu de l'Academie des Sciences, vol. 222, pp. 847-849, 1946.
4. M. Hilaga, Y. Shinagawa, T. Komura, and T. L. Kunii, "Topology matching for fully automatic similarity estimation of 3D shapes," in ACM Computer Graphics, (Proc. of SIGGRAPH 2001), 2001, pp. 203-212.
5. K. Cole-McLaughlin, H. Edelsbrunner, J. Harer, V. Natarajan, and V. Pascucci, "Loops in Reeb Graphs of 2-Manifolds." in Proc. of the 19th ACM Symp. on Comp. Geometry, 2003, pp. 344-350.
6. A. Verroust and F. Lazarus, "Extracting skeletal curves from 3D scattered data." The Visual Computer, vol. 16, no. 1, pp. 15-25, 2000.
7. D. Bespalov, W. C. Regli, and A. Shokoufandeh, "Reeb Graph Based Shape Retrieval for CAD." in Proc. of the 2003 ASME Design Engineering Technical Conferences, 2003.
8. Z. J. Wood, M. Desbrun, P. Schröder, and D. Breen, "Semi-regular mesh extraction from volumes." in Proc. of the 11th Ann. IEEE Visualization Conf., 2000.
9. F. Hétroy and D. Attali, "Topological quadrangulations of closed triangulated surfaces using the reeb graph." Graphical Models, vol. 65, no. 1, pp. 131-148, 2003.
10. S. Biasotti, S. Marini, M. Mortara, and G. Patané, "An overview on properties and efficacy of topological skeletons in shape modelling." in Proc. of Shape Modelling and Applications. Seoul, South Korea, 2003, pp. 245-254.
11. M. van Kreveld, R. van Oostrum, C. Bajaj, V. Pascucci, and D. Schikore, "Contour trees and small seed sets for isosurface traversal," in Proceedings of the 13th Int. Ann. Symp. on Comp. Geometry. New York, 1997, pp. 212-220.
12. H. Carr, J. Snoeyink, and U. Axen, "Computing contour trees in all dimensions." in Proc. of the 11th Ann. ACM-SIAM Symp. on Discrete Algorithms. New York, 2000, pp. 918-926.
13. J. Milnor, Morse Theory. New Jersey: Princeton University Press, 1963.
14. W. Massey, Algebraic Topology: An Introduction. Brace&World, 1967.