Marching diamonds for unstructured meshes

Proceedings of the IEEE Visualization Conference

Volumn , Issue , 2005, Pages 54-

  Anderson, John C ^a   Bennett, Janine C ^a   Joy, Kenneth I ^a  

^a University of California   (United States)

Author keywords

Interpolation; Isosurface extraction; Unstructured mesh

Indexed keywords

BARYCENTRIC INTERPOLATION; EDGE ENDPOINTS; ISOSURFACE EXTRACTION; UNSTRUCTURED MESHES;

DIAMONDS; EDGE DETECTION; IMAGE SEGMENTATION; INTERPOLATION; LINEAR ALGEBRA; OBJECT RECOGNITION;

FEATURE EXTRACTION;

EID: 33749447540     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/VIS.2005.66     Document Type: Conference Paper

References (25)

1. Ken Brodlie and Jason Wood. Recent advances in volume visualization. Computer Graphics Forum, 20(2):125-148, 2001.
2. Shek Ling Chan and Enrico O. Purisima. A new tetrahedral tesselation scheme for isosurface generation. Computers & Graphics, 22(1):83-90, 1998.
3. Evgeni V. Chernyaev. Marching cubes 33: construction of topologically correct isosurfaces. Technical Report CN/95-17, CERN, 1995.
4. http://wwwinfo.cern.ch/asdoc/psdir/mc.ps.gz.
5. P. Cignoni, F. Ganovelli, C. Montani, and R. Scopigno. Reconstruction of topologically correct and adaptive trilinear isosurfaces. Computers & Graphics, 24(3):399-418, 2000.
6. Gerald Farin. Curves and Surfaces for Computer-Aided Geometric Design: A Practical Guide. Academic Press, New York, NY, USA, third edition, 1993.
7. M. S. Floater, K. Hermann, and G. Kós. A general construction of barycentric coordinates over convex polygons. Advances in Computational Mathematics, 2004. To appear.
8. Tao Ju, Frank Losasso, Scott Schaefer, and Joe Warren. Dual contouring of hermite data. ACM Transactions on Graphics, 21(3):339-346, 2002.
9. Adriano Lopes and Ken Brodlie. Improving the robustness and accuracy of the marching cubes algorithm for isosurfacing. IEEE Transactions on Visualization and Computer Graphics, 9(1):16-29, 2003.
10. William E. Lorensen and Harvey E. Cline. Marching cubes: A high resolution 3d surface construction algorithm. In ACM SIGGRAPH 1987, pages 163-169, 1987.
11. Stephen R. Marschner and Richard J. Lobb. An evaluation of reconstruction filters for volume rendering. In IEEE Visualization 1994, pages 100-107, 1994.
12. Mark Meyer, Haeyoung Lee, Alan Barr, and Mathieu Desbrun. Generalized barycentric coordinates on irregular polygons. Journal of Graphics Tools, 7(1):13-22, 2002.
13. B. K. Natarajan. On generating topologically consistent isosurfaces from uniform samples. The Visual Computer, 11(1):52-62, 1994.
14. Gregory Nielson. On marching cubes. IEEE Transactions on Visualization and Computer Graphics, 9:283-297, 2003.
15. Gregory M. Nielson and Bernd Hamann. The asymptotic decider: resolving the ambiguity in marching cubes. In IEEE Visualization 1991, pages 83-91, 1991.
16. Paul Ning and Jules Bloomenthal. An evaluation of implicit surface tilers. IEEE Computer Graphics and Applications, 13(6):33-41, 1993.
17. Scott Schaefer and Joe Warren. Dual marching cubes: Primal contouring of dual grids. In Pacific Graphics 2004, pages 70-76, 2004.
18. Jochen Schwarze. Cubic and quartic roots. In Graphics Gems, pages 404-407. Academic Press Professional, Inc., San Diego, CA, USA, 1990.
19. Holger Theisel. Exact isosurfaces for marching cubes. Computer Graphics Forum, 21(1):19-31, 2002.
20. G.M. Treece, R.W. Prager, and A.H. Gee. Regularised inarching tetrahedra: improved iso-surface extraction. Computers & Graphics, 23(4):583-598, 1999.
21. Allen van Gelder and Jane Wilhelms. Topological considerations in isosurface generation. ACM Transactions on Graphics, 13(4):337-375, 1994.
22. Joe Warren. Barycentric coordinates for convex polytopes. Advances in Computational Mathematics, 6:97-108, 1996.
23. Joe Warren. On the uniqueness of barycentric coordinates. In Contemporary Mathematics, pages 93-99. AGGM02, 2003.
24. Joe Warren, Scott Schaefer, Anil Hirani, and Mathieu Desbrun. Barycentric coordinates for convex sets. Technical report, Rice University, 2003. Submitted for publication.
25. Yong Zhou, Weihai Chen, and Zesheng Tang. An elaborate ambiguity detection method for constructing isosurfaces within tetrahedral meshes. Computers & Graphics, 19(3):355-364, 1995.