Dynamic meshes for accurate polygonization of implicit surfaces with sharp features

Proceedings - International Conference on Shape Modeling and Applications, SMI 2001

Volumn , Issue , 2001, Pages 74-81

  Ohtake, Yutaka ^a   Belyaev, Alexander ^a   Pasko, Alexander ^b  

^a UNIVERSITY OF AIZU   (Japan)

^b HOSEI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC MESH; IMPLICIT SURFACES; MESH VERTEX; POLYGONIZATION; SHARP FEATURES; SIMULTANEOUS CONTROL;

EID: 84884754330     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SMA.2001.923377     Document Type: Conference Paper

References (31)

1. R. A. Adáms. Sobolev Spaces. Academic Press, 1975.
2. V. Adzhiev, R. Cartwright, E. Fausett, A. Ossipov, A. Pasko, and V. Savchenko. HyperFun project: A framework for collaborative multidimensional F-rep modeling. In J. Hughes and C. Schlick, editors, Implicit Surfaces '99, Eurographics/ACM SIGGRAPH Workshop, pages 59-69, September 1999. Visit also http://www.hyperfun.org.
3. A. G. Belyaev, Yu. Ohtake, and K. Abe. Detection of ridges and ravines on range images and triangular meshes. In L. J. Latecki, D. M. Mount, and A. Y. Wu, editors, Vision Geometry IX, Proc. SPIE 4117, pages 146-154, July-August 2000. (Pubitemid 32068217)
4. A. Blake and M. Isard. Active Contours. Springer, 1998.
5. J. Bloomenthal. Chapter 4: Surface tiling. In J. Bloomenthal, editor, Introduction to Implicit Surfaces. Morgan Kaufmann, 1997.
6. S. C. Brenner and L. R. Scott. The Mathematical Theory of Finite Element Methods. Springer, 1994.
7. U. Clarenz, U. Diewald, and M. Rumpf. Anisotropic geometric diffusion in surface processing. In Proceedings of IEEE Visualization 2000, pages 397-405, October 2000.
8. M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr. Discrete differential-geometry operators in nD. Submitted for publication. Available from http://www.multires.caltech.edu/pubs/pubs.htm.
9. M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr. Implicit fairing of irregular meshes using diffusion and curvature flow. Computer Graphics (Proceedings of SIGGRAPH '99), pages 317-324, 1999.
10. M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr. Anisotropic feature-preserving denoising of height fields and bivariate data. In Graphics Interface 2000, pages 145-152, May 2000.
11. R. Durbin and D. Willshaw. An analogue approach to the traveling salesman problem using an elastic net method. Nature, 326:348-358, 1987.
12. M. Kass, A. Witkin, and D. Terzopoulos. Snakes: Active contour models. Int. Journal of Computer Vision, 1(4):321-331, 1987.
13. W. E. Lorensen and H. E. Cline. Marching cubes: a high resolution 3D surface construction algorithm. Computer Graphics (Proceedings of SIGGRAPH '87), 21(3): 163-169, 1987.
14. T. McInerney and D. Terzopoulos. Topology adaptive deformable surfaces for medical image volume segmentation. IEEE Transactions on Medical Imaging, 18(10):840-850, October 1999. (Pubitemid 32211100)
15. J. V. Miller, D. E. Breen, W. E. Lorensen, R. M. O'Bara, and M. J. Wozny. Geometrically deformed models: A method for extracting closed geometric models from volume data. Computer Graphics (Proceedings of SIGGRAPH 91), 25(4):217-226, 1991.
16. J. Montagnat, H. Delingette, N. Scapel, and N. Ayache. Representation, shape, topology, and evolution of deformable surfaces, application to 3D medical image segmentation. Research Report RR-3954, INRIA Sophia Antipolis, France, May 2000.
17. Yu. Ohtake and A. G. Belyaev. Nonlinear diffusion of normals for stable detection of ridges and ravines on range images and polygonal models. In MVA2000, IAPR Workshop on Machine Vision Applications, pages 497-500, Tokyo, November 2000.
18. Yu. Ohtake, A. G. Belyaev, and I. A. Bogaevski. Polyhedral surface smoothing with simultaneous mesh regularization. In R. Martin and W. Wang, editors, Geometric Modeling and Processing 2000, pages 229-237, Hong Kong, April 2000.
19. Yu. Ohtake, A. G. Belyaev, and I. A. Bogaevski. Mesh regularization and adaptive smoothing. Computer-Aided Design, Accepted for publication.
20. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. Numerical Recipies in C: The Art of Scientific Computing. Cambridge University Press, 1993.
21. V. L. Rvachev. The Methods of the Algebra of Logic in Mathematical Physics. Naukova Dumka, Kiev, 1973. In Russian.
22. V. L. Rvachev. Theory of R-functions and Some of Its Applications. Naukova Dumka, Kiev, 1982. In Russian.
23. W. Schroeder, K. Martin, and W. Lorensen. The Visualization Toolkit: An Object-Oriented Approach to 3D Graphics. Prentice Hall, 1998.
24. J.A. Sethian. Level Set Methods and Fast Marching Methods. Cambridge University Press, 1999.
25. V. Shapiro. Real functions for representation of rigid solids. Computer Aided Geometric Design, 11 (2): 152-175, 1994.
26. V. Shapiro and I. Tsukanov. Implicit functions with guaranteed differential properties. In Proceedings of the Fifth Symposium on Solid Modeling (SOLID MODELING '99), pages 852-857, Ann Arbor, Michigan, June 1999.
27. A. F. Sole, A. Lopez, and G. Sapiro. Crease enhancement diffusion. IMA Preprint Series # 1707, Institute for Mathematics and its Applications, April 2000.
28. G. Täubin. Geometric signal processing on polygonal meshes. In EUROGRAPHICS '2000: State of the Art Reports, pages 107-117, August 2000.
29. L. Velho. Simple and efficient polygonozation of implicit surfaces. Journal of Graphics Tools, 1(2):5-24, 1996.
30. Z. J. Wood, M. Desbrun, P. Schröder, and D. Breen. Semi-regular mesh extraction from volumes. In Proceedings of IEEE Visualization 2000, pages 275-282, October 2000.
31. B. Wyvill and K. van Overveld. Polygonization of implicit surfaces with constructive solid geometry. International Journal of Shape Modelling, 2(4):257-274, 1996.