Topology recognition of 3D closed freeform objects based on topological graphs

Proceedings - Pacific Conference on Computer Graphics and Applications

Volumn 2001-January, Issue , 2001, Pages 82-88

  Steiner, D ^a   Fischer, A ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER GRAPHICS; FIBER OPTIC SENSORS; MESH GENERATION; REVERSE ENGINEERING; SURFACE RECONSTRUCTION;

BOTTOM UP APPROACH; COMPLEX TOPOLOGY; RECONSTRUCTION METHOD; TOPOLOGICAL CRITERIA; TOPOLOGICAL GRAPHS; TOPOLOGICAL STRUCTURE; TOPOLOGY RECOGNITION; TRIANGULAR MESHES;

TOPOLOGY;

EID: 84952911037     PISSN: 15504085     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/PCCGA.2001.962860     Document Type: Conference Paper

References (18)

1. C. Bajaj, F. Bernardini and G. Xu. Automatic Reconstruction of Surfaces and Scalar Fields from 3D Scans. Siggraph, 1995, pp. 109-118.
2. J. D. Bossonnat. Shape Reconstruction from Planar Cross Section. Computer Vision, Graphics, and Image Processing, 41(1):1-29, 1988.
3. H. E. Cline, W. E. Lorensen, S. Ludke, B. C. Teeter and C. R. Crawford. Two algorithms from reconstruction of surfaces from Tomograms. Medical Physics, 15(3):320-327, 1988.
4. T. H. Cormen, C. E. Leiserson and R. L. Rivest, Introduction to Algorithms, The MIT Press, McGraw-Hill Book Company, pp. 527-532, 1990.
5. B. Curless and M. Levoy A Volumetric Method for Building Complex Models from Range Images. Siggraph, 1996, pp. 303-312.
6. M. Eck and H. Hoppe Automatic Reconstruction of B-spine Surfaces of Arbitrary Topological Type. Siggraph, 1996, pp. 325-334.
7. A. Fischer, A. Manor and J. Barhak. Adaptive Parameterization for Reconstruction of 3D Freeform Objects from Laser-Scanned Data. IEEE Pacific Graphics'99, Seoul, Korea, October 5-7, 1999.
8. CF. Gerald and P. O. Wheatley. Applied Numerical Analysis. Addison-Wesley Publishing Company, 1989.
9. B. Guo. Surface Reconstruction from Points to Splines. Computer-Aided Design, 29(4):269-277, 1997.
10. H. Hoppe, T. DeRose, T. Duchamp, J. McDonald, J. Schweitzer and S. Werner. Surface Reconstruction from Unorganized Points. Siggraph, 1992, pp. 71-78.
11. H. Hoppe, T. DeRose, T. Duchamp, M. Halstead, J. Hubert, J. McDonald, J. Schweitzer and S. Werner. Piecewise Smooth Surface Reconstruction. Siggraph, 1994, pp. 295-301.
12. J. Hoschek, D. Lasser and L. Schumaker (trans). Fundamentals of Computer Aided Geometric Design, A K Peters, 1993.
13. F. Lazarus and A. Verroust. Level Set Diagrams of Polyhedral Objects. ACM Solid Modeling'99, June 1999, Ann-Arbor, Michigan, USA.
14. W. E. Lorensen and H. E. Cline. Marching Cubes: A High Resolution 3D Surface Construction Algorithm. ACM Computer Graphics, 21:163-169, 1987.
15. J. Milnor. Morse Theory, Princeton University Press, New Jersey, 1963.
16. Y. Shinagawa, T. L. Kunii and Y. L. Kergosien. Surface coding based on Morse Theory. IEEE Computer Graphics and Applications, 11(5):66-78, 1991.
17. C.-L. Tai, Y. Shinagawa and T. L. Kunii. A Reeb Graph-Based Representation for Non-Sequential Construction of Topologically Complex Shapes. Computer & Graphics, 22(2-3):255-268, 1998.
18. T. Varady, R. R. Martin and J. Cox. Reverse Engineering of Geometric Models-an Introduction. Computer-Aided Design, 29(4):255-268, 1997.