Spherical parameterization of marching cubes isosurfaces based upon nearest neighbor coordinates

Journal of Computer Science and Technology

Volumn 24, Issue 1, 2009, Pages 30-38

  Nielson, Gregory M ^a   Zhang, Li Yan ^b   Lee, Kun ^c   Huang, Adam ^d  

^a ARIZONA STATE UNIVERSITY   (United States)

^b NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

^c Handong University   (South Korea)

^d NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

Isosurface; Mapping; Marching cubes; Parameterization; Spherical; Triangle mesh surface

Indexed keywords

ISOSURFACE; MARCHING CUBES; MARCHING CUBES ALGORITHMS; NEAREST NEIGHBORS; PARAMETERIZING; SPECIAL PROPERTIES; SPHERICAL; SPHERICAL PARAMETERIZATION; SYSTEMS OF EQUATIONS; TRIANGLE MESH SURFACE;

FUNCTIONAL ELECTRIC STIMULATION; GEOMETRY; SPHERES;

PARAMETERIZATION;

EID: 65149097755     PISSN: 10009000     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11390-009-9201-z     Document Type: Article

References (21)

1. Nielson G M, Zhang L, Lee K, Huang A. Parameterizing marching cubes isosurfaces with natural neighbor coordinates. Advances in Geometric Modeling and Processing, Chen FL, Jüttler B (eds.), Springer, 2008, pp.315-328.
2. Hormann K, Greiner G. MIPS: An efficient global parameterization method. Curve and Surface Design: Saint-Malo. Laurent P J, Sablonniere P, Schumaker L L (eds.), Vanderbilt University Press, Nashville, 1999, pp.153-162.
3. D M Meyer P Alliez 2002 Intrinsic parameterizations of surface meshes Eurographics, Computer Graphics Forum 21 2 209 218
4. S Haker S Angenent A Tannenbaum R Kikinis G Sapiro 2000 Conformal surface parameterization for texture mapping Transactions on Visualization and Computer Graphics 6 2 181 189
5. Haker S, Angenent S, Tannenbaum A, Kikinis R. Nondistorting flattening for virtual colonoscopy. In Proc. MICCAI, Utrecht, The Netherlands, Springer, Oct. 14-17, 2001, pp.358-366.
6. U Pinkall K Polthier 1993 Computing discrete minimal surfaces and their conjugates Exp. Math. 2 15 36
7. M S Floater 1997 Parametrization and smooth approximation of surface triangulations Computer Aided Geometric Design 14 3 231 250 (Pubitemid 127403697)
8. Wachpress E. A Rational Finite Element Basis. Academic Press, 1975.
9. M S Floater 2003 Mean value coordinates Computer Aided Geometric Design 20 1 19 27
10. Floater M S, Hormann K. Parameterization of Triangulations and Unorganized Points. Tutorial on Multiresolution in Geometric Modelling. Iske A, Quak E, Floater M S (eds.), Springer, 2002, pp.287-314.
11. M Meyer A Barr H Lee M Desbrun 2002 Generalized barycentric coordinates or irregular polygons Journal of Graphical Tools 17 13 22
12. Floater M S, Hormann K. Surface Parameterization: A Tutorial and Survey. Advances in Multiresolution for Geometric Modelling, Dodgson N A, Floater M S, Sabin M A (eds.), Springer, 2006, pp.913-1943.
13. W F Tutte 1960 Convex representation of graphs Proc. London Math. Soc. 10 304 320
14. W Tutte 1963 How to draw a graph Proc. London Math. Soc. 13 743 768
15. Nielson G M. MC*: Star functions for marching cubes. In Proc. Visualization'03, Seattle, USA, 2003, pp.59-66.
16. M S Floater 1998 Parametric tilings and scattered data approximation Int. J. Shape Modeling 4 165 182
17. G M Nielson L Zhang K Lee 2004 Lifting curve parameterization methods to isosurfaces Computer Aided Geometric Design 21 751 766
18. X Gu Y Wang T F Chan P M Thompson S-T Yau 2004 Genus zero surface conformal mapping and its applications to brain surface mapping IEEE Trans. Med. Imaging 23 9 949 958
19. Hong W, Gu X, Qiu F, Jin M, Kaufman A E. Conformal virtual colon flattening. In Proc. Symposium on Solid and Physical Modeling, Wales, UK, June 6-8, 2006, pp.85-93.
20. S K Warfield M Kaus F A Jolesz R Kikinis 2000 Adaptive, template moderated, spatially varying statistical classification Med Image Anal 4 1 43 55
21. Nielson G M, Graf G, Huang A, Phliepp M, Holmes R. Shrouds: Optimal separating surface for enumerated volumes. In Proc. VisSym'03, Grenoble, France, Eurographics Association, 2003, pp.75-84.