A new tetrahedral tesselation scheme for isosurface generation

Computers and Graphics (Pergamon)

Volumn 22, Issue 1, 1998, Pages 83-90

  Chan, S L ^a,b   Purisima, E O ^a  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^b TRIPOS INC   (United States)

Author keywords

Isosurface generation; Marching cubes; Tetrahedral tessellation

Indexed keywords

ALGORITHMS; PROBLEM SOLVING; THREE DIMENSIONAL COMPUTER GRAPHICS;

ISOSURFACE GENERATION; MARCHING CUBES; TETRAHEDRAL TESSELATION METHOD;

COMPUTATIONAL GEOMETRY;

EID: 0031619647     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0097-8493(97)00085-X     Document Type: Article

References (15)

1. Lorensen, W. E. and Cline, H. E., Marching Cubes: A High Resolution 3D Surface Construction Algorithm. Computer Graphics, 1987, 21, 163-169.
2. Dürst, M. J., Letters: Additional Reference to Marching Cubes. Computer Graphics, 1988, 22, 72-73.
3. Röll, S., Haase, A. and von Kienlin, M., Fast Generation of Leakproof Surfaces from Well-Defined Objects by a Modified Marching Cubes Algorithm. Computer Graphics Forum, 1995, 14, 127-138.
4. Xiang, Z., Shi, Y. and Xu, Y., Calculating the Electric Potential of Macromolecules: A Simple Method for Molecular Surface Triangulation. Journal of Computational Chemistry, 1995, 16, 512-516.
5. Zhou, C., Shu, R. and Kankanhalli, M. S., Handling Small Features in Isosurface Generation Using Marching Cubes. Computers and Graphics, 1994, 18, 845-848.
6. Matveyev, S. V., Approximation of Isosurface in the Marching Cube: Ambiguity Problem. In Proceedings of Visualization '94. IEEE, 1994, pp. 288-292.
7. Nielson, G. M. and Hamman, B., The Asymptotic Decider: Resolving the Ambiguity in Marching Cubes. In Proceedings of Visualization '91. IEEE, 1991, pp. 83-90.
8. Wilhelms, J. and van Gelder, A., Topological Considerations in Isosurface Generation Extended Abstract. Computer Graphics, 1990, 24, 79-86.
9. Payne, B. A. and Toga, A. W., Surface Mapping Brain Function on 3D Models. IEEE Computer Graphics & Applications, 1990, 10, 33-41.
10. Hall, M. and Warren, J., Adaptive Polygonization of Implicitly Defined Surfaces. IEEE Computer Graphics & Applications, 1990, 10, 33-42.
11. Guéziec, A. and Hummel, R., Exploiting Triangulated Surface Extraction Using Tetrahedral Decomposition. IEEE Transactions on Visualization and Computer Graphics, 1995, 1, 328-342.
12. A description of these lattices can be found in most text books in crystallography, e.g., D. McKie, C. McKie, Essentials of Crystallography, Blackwell Scientific, Publications, Oxford, 1986.
13. Zhou, Y., Chen, W. and Tang, Z., An Elaborate Ambiguity Detection Method for Constructing Isosurfaces within Tetrahedral Meshes. Computers and Graphics, 1995, 19, 355-364.
14. Ning, P. and Bloomenthal, J., An Evaluation of Implicit Surface Tilers. IEEE Computer Graphics & Applications, 1993, 13, 33-41.
15. J. Bloomenthal, An Implicit Surface Polygonizer. In Graphics Gems IV, ed. P. S. Heckbert. Academic Press, 1994, pp. 324-350.