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Unified Hybrid Terrain Representation Based on Local Convexifications

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Abstract

Hybrid digital terrain models represent an effective framework to combine and integrate terrain data with different topology and resolution. Cartographic digital terrain models typically are constituted by regular grid data and can be refined by adding locally TINs that represent morphologically complex terrain parts. Direct rendering of both data sets to visualize the digital terrain model would generate geometric discontinuities as the meshes are disconnected. In this paper we present a new meshing scheme for hybrid terrain representations. High quality models without discontinuities are generated as the different representations are softly joined through an adaptive tessellation procedure. Due to the complexity of the algorithms involved in the tessellation procedure, we propose a mixed strategy where part of the information is pre-computed and efficiently encoded. This way, for rendering the model, the tessellation information has to be decoded and only additional simple operations have to be performed.

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References

  1. M. Amor, M. Bóo, and J.Döllner. “Hardware support for hybrid grid representation of terrains,” Technical Report, University of Santiago de Compostela, 2004. (www.ac.usc.es)

  2. M. Amor, M. Bóo, J. Hirche, M. Doggett, and W. Strasser. “A meshing scheme for efficient hardware implementation of butterfly subdivision surfaces using displacement mapping,” IEEE Computer Graphics and Applications, Vol. 25(2):46–59, 2005.

    Article  Google Scholar 

  3. K. Baumann, J. Döllner, and K. Hinrichs. “Integrated multiresolution geometry and texture models for terrain visualization,” in R. van Liere, and W. de Leeuw (Eds.), Proc. of Joint Eurographics—IEEE TVCG Symposium on Visualization 2000, pp. 157–166, Springer, Berlin Heidelberg New York, 2000.

    Google Scholar 

  4. M. Bóo, M. Amor, M. Doggett, J. Hirche, and W. Strasser. “Hardware support for adaptive subdivision surface rendering,” in Proc. of Siggraph/Eurographics Hardware Workshop, pp. 33–40, ACM, New York, 2001.

    Chapter  Google Scholar 

  5. P. Cignoni, F. Ganovelli, E. Gobbetti, F. Marton, F. Ponchio, and R. Scopigno. “BDAM—Batched dynamic adaptive meshes for high performance terrain visualization,” in P. Brunet and D. Fellner (Eds.), Proc. of Eurographics 2003, Computer Graphics Forum, Vol. 22(3), pp. 505–514, Blackwell, Oxford, UK, 2003.

    Google Scholar 

  6. M. Doggett and J. Hirche. “Adaptive view dependent tessellation of displacement maps,” in Proc. of Siggraph/Eurographics Hardware Workshop, pp. 59–66, ACM, New York, 2000.

    Chapter  Google Scholar 

  7. M. Kraus and T. Ertl. “Simplification of nonconvex tetrahedral meshes,” in Electronic Proc. of NSF/DoE Lake Tahoe Workshop for Scientific Visualization, 2000.

  8. M. Kraus and T. Ertl. “Cell projection of cyclic meshes,” in T. Ertl, K. Joy, and A. Varshney (Eds.), Proc. of IEEE Visualization 2001, pp. 215–222, IEEE Computer Society, Los Alamitos, CA, 2001.

    Chapter  Google Scholar 

  9. P. Lindstrom and V. Pascucci. “Visualization of large terrains made easy,” in T. Ertl, K. Joy, and A. Varshney (Eds.), Proc. of IEEE Visualization 2001, pp. 363–370. IEEE Computer Society, Los Alamitos, CA, 2001.

    Chapter  Google Scholar 

  10. P. Lindstrom and V. Pascucci. “Terrain simplification simplified: A general framework for view-dependent out-of-core visualization,” IEEE Transactions on Visualization and Computer Graphics, Vol. 8(3):239–254, 2002.

    Article  Google Scholar 

  11. F. Losasso and H. Hoppe. “Geometry clipmaps: Terrain rendering using nested regular grids,” in Proc. of ACM SIGGRAPH 2004, pp. 769–776, ACM, New York, 2004.

    Chapter  Google Scholar 

  12. D. Luebke, M. Reddy, J. Cohen, A. Varshney, B. Watson, and R. Huebner. Level of Detail for 3D Graphics. Morgan Kaufmann, San Mateo, CA, 2002.

    Google Scholar 

  13. J. O’Rourke. Computational Geometry in C. 2nd edition, Cambrige University Press: Cambridge, MA, 1998.

    Google Scholar 

  14. R. Pajarola, M. Antonijuan, and R. Lario. “QuadTIN: Quadtree based triangulated irregular networks,” in R. J. Moorhead, M. Gross, and K. I. Joy (Eds.), Proc. of IEEE Visualization 2002, pp. 395–402, IEEE Computer Society, Los Alamitos, CA, 2002.

    Chapter  Google Scholar 

  15. J. Schneider and R. Westermann. “GPU-Friendly high-quality terrain rendering,” Journal of WSCG, Vol. 14(1-3):49–56, 2006.

    Google Scholar 

  16. P.L. Williams. “Visibility ordering meshed polyhedra,” ACM Transactions on Graphics, Vol. 11(2):103–126, 1992.

    Article  Google Scholar 

  17. T. Yýlmaz, U. Güdükbay, and V. Akman. Modeling and Visualization of Complex Geometric Environments. In Geometric Modeling: Techniques, Applications, Systems and Tools (Chapter 1). Kluwer, Norwell, 2004.

    Google Scholar 

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Bóo, M., Amor, M. & Döllner, J. Unified Hybrid Terrain Representation Based on Local Convexifications. Geoinformatica 11, 331–357 (2007). https://doi.org/10.1007/s10707-006-0003-y

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  • DOI: https://doi.org/10.1007/s10707-006-0003-y

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