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Wavelet Radiosity on Arbitrary Planar Surfaces

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Part of the book series: Eurographics ((EUROGRAPH))

Abstract

Wavelet radiosity is, by its nature, restricted to parallelograms or triangles. This paper presents an innovative technique enabling wavelet radiosity computations on planar surfaces of arbitrary shape, including concave contours or contours with holes. This technique replaces the need for triangulating such complicated shapes, greatly reducing the complexity of the wavelet radiosity algorithm and the computation time. It also gives a better approximation of the radiosity function, resulting in better visual results. Our technique works by separating the radiosity function from the surface geometry, extending the radiosity function defined on the original shape onto a simpler domain — a parallelogram — better behaved for hierarchical refinement and wavelet computations.

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References

  1. D. R. Baum, S. Mann, K. P. Smith, and J. M. Winget. Making Radiosity Usable: Automatic Preprocessing and Meshing Techniques for the Generation of Accurate Radiosity Solutions. Computer Graphics (ACM SIGGRAPH ’91 Proceedings), 25(4):51–60, July 1991.

    Article  Google Scholar 

  2. P. Bekaert and Y. Willems. Error Control for Radiosity. In Rendering Techniques ’96 (Proceedings of the Seventh Eurographics Workshop on Rendering), pages 153–164, New York, NY, 1996. Springer-Verlag/Wien.

    Chapter  Google Scholar 

  3. P. Bekaert and Y. D. Willems. Hirad: A Hierarchical Higher Order Radiosity Implementation. In Proceedings of the Twelfth Spring Conference on Computer Graphics (SCCG ’96), Bratislava, Slovakia, June 1996. Comenius University Press.

    Google Scholar 

  4. J.-D. Boissonnat and M. Yvinec. Algorithmic Geometry. Cambridge University Press, 1998.

    Book  Google Scholar 

  5. K. Bouatouch and S. N. Pattanaik. Discontinuity Meshing and Hierarchical Multiwavelet Radiosity. In W. A. Davis and P. Prusinkiewicz, editors, Proceedings of Graphics Interface ’95, pages 109–115, San Francisco, CA, May 1995. Morgan Kaufmann.

    Google Scholar 

  6. X. Cavin, L. Alonso, and J.-C. Paul. Parallel Wavelet Radiosity. In Second Eurographics Workshop on Parallel Graphics and Visualisation, pages 61–75, Rennes, France, Sept. 1998.

    Google Scholar 

  7. F. Cuny, L. Alonso, and N. Holzschuch. A novel approach makes higher order wavelets really efficient for radiosity. Computer Graphics Forum (Eurographics 2000 Proceedings), 19(3), Sept. 2000. To appear. Available from http://www.lona.fr/~holzschu/Publications/paper20.pdf/~holzschu/Publications/paper20.pdf.

    Book  Google Scholar 

  8. O. Devillers, M. Teillaud, and M. Yvinec. Dynamic location in an arrangement of line segments in the plane. Algorithms Review, 2(3):89–103, 1992.

    Google Scholar 

  9. H. Edelsbrunner. Algorithms in Combinatorial Geometry, volume 10 of EATCS Monographs on Theoretical Computer Science. Springer-Verlag, Nov. 1987.

    Book  Google Scholar 

  10. S. Gibson and R. J. Hubbold. Efficient hierarchical refinement and clustering for radiosity in complex environments. Computer Graphics Forum, 15(5):297–310, Dec. 1996.

    Article  Google Scholar 

  11. C.M. Goral, K. E. Torrance, D. P. Greenberg, and B. Battaile. Modelling the Interaction of Light Between Diffuse Surfaces. Computer Graphics (ACM SIGGRAPH ’84 Proceedings), 18(3):212–222, July 1984.

    Google Scholar 

  12. S. J. Gortler, P. Schroder, M. F. Cohen, and P. Hanrahan. Wavelet Radiosity. In Computer Graphics Proceedings, Annual Conference Series, 1993 (ACM SIGGRAPH ’93 Proceedings), pages 221–230, 1993.

    Google Scholar 

  13. P. Hanrahan, D. Salzman, and L. Aupperle. A Rapid Hierarchical Radiosity Algorithm. Computer Graphics (ACM SIGGRAPH ’91 Proceedings), 25(4): 197–206, July 1991.

    Article  Google Scholar 

  14. J. M. Hasenfratz, C. Damez, F. Sillion, and G. Drettakis. A practical analysis of clustering strategies for hierarchical radiosity. Computer Graphics Forum (Eurographics ’99 Proceedings), 18(3):C-221-C-232, Sept. 1999.

    Article  Google Scholar 

  15. C. Schwarz, J. Teich, A. Vainshtein, E. Welzl, and B. L. Evans. Minimal enclosing parallelogram with application. In Proc. 11th Annu. ACM Sympos. Comput. Geom., pages C34–C35, 1995.

    Google Scholar 

  16. F. Sillion. A Unified Hierarchical Algorithm for Global Illumination with Scattering Volumes and Object Clusters. IEEE Transactions on Visualization and Computer Graphics. 1(3), Sept. 1995.

    Google Scholar 

  17. B. Smits, J. Arvo, and D. Greenberg. A Clustering Algorithm for Radiosity in Complex Environments. In Computer Graphics Proceedings, Annual Conference Series, 1994 (ACM SIGGRAPH ’94 Proceedings), pages 435–442, 1994.

    Google Scholar 

  18. M. Stamminger, H. Schirmacher, P. Slusallek, and H.-P. Seidel. Getting rid of links in hierarchical radiosity. Computer Graphics Journal (Proc. Eurographics ’98), 17(3):C165–C174, Sept. 1998.

    Article  Google Scholar 

  19. A. Willmott and P. Heckbert. An empirical comparison of progressive and wavelet radiosity. In J. Dorsey and P. Slusallek, editors, Rendering Techniques ’97 (Proceedings of the Eighth Eurographics Workshop on Rendering), pages 175–186, New York, NY, 1997. Springer Wien. ISBN 3–211–83001–4.

    Google Scholar 

  20. A. Willmott, P. Heckbert, and M. Garland. Face cluster radiosity. In Rendering Techniques ’99, pages 293–304, New York, NY, 1999. Springer Wien.

    Chapter  Google Scholar 

  21. C. Winkler. Expérimentation d’algorithmes de calcul de radiosité à base d’ondelettes. Thèse d’université, Institut National Polytechnique de Lorraine, 1998.

    Google Scholar 

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© 2000 Springer-Verlag Wien

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Holzschuch, N., Cuny, F., Alonso, L., LORIA. (2000). Wavelet Radiosity on Arbitrary Planar Surfaces. In: Péroche, B., Rushmeier, H. (eds) Rendering Techniques 2000. EGSR 2000. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6303-0_15

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  • DOI: https://doi.org/10.1007/978-3-7091-6303-0_15

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  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83535-7

  • Online ISBN: 978-3-7091-6303-0

  • eBook Packages: Springer Book Archive

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