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Curvature Dependent Polygonization by the Edge Spinning

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Computational Science and Its Applications – ICCSA 2004 (ICCSA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3045))

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Abstract

An adaptive method for polygonization of implicit surfaces is presented. The method insists on the shape of triangles and the accuracy of resulting approximation as well. The presented algorithm is based on the surface tracking scheme and it is compared with the other algorithms based on the similar principle, such as the Marching cubes and the Marching triangles methods. The main advantages of the triangulation presented are simplicity and the stable features that can be used for next expanding.

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References

  1. Akkouche, S., Galin, E.: Adaptive Implicit Surface Polygonization using Marching Triangles. Computer Graphic Forum 20(2), 67–80 (2001)

    Article  MATH  Google Scholar 

  2. Bloomenthal, J.: Graphics Gems IV. Academic Press, London (1994)

    Google Scholar 

  3. Bloomenthal, J.: Skeletal Design of Natural Forms, Ph.D. Thesis (1995)

    Google Scholar 

  4. Bloomenthal, J., Bajaj, C., Blinn, J., Cani-Gascuel, M.-P., Rockwood, A., Wyvill, B., Wyvill, G.: Introduction to implicit surfaces. Morgan Kaufmann, San Francisco (1997)

    MATH  Google Scholar 

  5. Čermák, M., Skala, V.: Polygonization by the Edge Spinning. In: Int. Conf. Algoritmy, Slovakia, September 8-13 (2002) ISBN 80-227-1750-9

    Google Scholar 

  6. Čermák, M., Skala, V.: Accelerated Edge Spinning algorithm for Implicit Surfaces. In: Int. Conf. ICCVG, Zakopane, Poland, September 25-29 (2002) ISBN 839176830-9

    Google Scholar 

  7. Hartmann, E.: A Marching Method for the Triangulation of Surfaces. The Visual Computer 14, 95–108 (1998)

    Article  MATH  Google Scholar 

  8. Hilton, A., Stoddart, A.J., Illingworth, J., Windeatt, T.: Marching Triangles: Range Image Fusion for Complex Object Modelling. In: Int. Conf. on Image Processing (1996)

    Google Scholar 

  9. Hyperfun: Language for F-Rep Geometric Modeling, http://cis.k.hosei.ac.jp/~F-rep/

  10. Karkanis, T., Stewart, A.J.: Curvature-Dependent Triangulation of Implicit Surfaces. IEEE Computer Graphics and Applications 21(2) (March 2001)

    Google Scholar 

  11. Ohtake, Y., Belyaev, A., Pasko, A.: Dynamic Mesh Optimization for Polygonized Implicit Surfaces with Sharp Features. The Visual Computer (2002)

    Google Scholar 

  12. Pasko, A., Adzhiev, V., Karakov, M., Savchenko, V.: Hybrid system architecture for volume modeling. Computer & Graphics 24, 67–68 (2000)

    Article  Google Scholar 

  13. Rvachov, A.M.: Definition of R-functions, http://www.mit.edu/~maratr/rvachev/p1.htm

  14. Shapiro, V., Tsukanov, I.: Implicit Functions with Guaranteed Differential Properties, Solid Modeling, Ann Arbor, Michigan (1999)

    Google Scholar 

  15. Taubin, G.: Distance Approximations for Rasterizing Implicit Curves. ACM Transactions on Graphics (January 1994)

    Google Scholar 

  16. Triquet, F., Meseure, F., Chaillou, C.: Fast Polygonization of Implicit Surfaces. In: WSCG 2001 Int. Conf., p. 162, University of West Bohemia, Pilsen (2001)

    Google Scholar 

  17. Velho, L.: Simple and Efficient Polygonization of Implicit Surfaces. Journal of Graphics Tools 1(2), 5–25 (1996)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Čermák, M., Skala, V. (2004). Curvature Dependent Polygonization by the Edge Spinning. In: Laganá, A., Gavrilova, M.L., Kumar, V., Mun, Y., Tan, C.J.K., Gervasi, O. (eds) Computational Science and Its Applications – ICCSA 2004. ICCSA 2004. Lecture Notes in Computer Science, vol 3045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24767-8_34

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  • DOI: https://doi.org/10.1007/978-3-540-24767-8_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22057-2

  • Online ISBN: 978-3-540-24767-8

  • eBook Packages: Springer Book Archive

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