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On the Computational Complexity of Hierarchical Radiosity

  • Robert Garmann
  • Heinrich Müller
Chapter
  • 443 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2598)

Abstract

The hierarchical radiosity algorithm is an efficient approach to simulation of light with the goal of photo-realistic image rendering. Hanrahan et. al. describe the initialization and the refinement of links between the scene’s patches based upon a user-specified error parameter ε . They state that the number of links is linear in the number of elements if ε is assumed to be a constant. We present a result based upon the assumption that the geometry is constant and ε approaches 0 in a multigridding-procedure. Then the algorithm generates L=θ(N 2) links where N denotes the number of elements generated by the algorithm.

Keywords

Global Illumination Complete Binary Tree Parent Link Initial Patch Simple Scene 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    M. F. Cohen and J. R. Wallace. Radiosity and Realistic Image synthesis. Academic Press Professional, Cambridge, 1993.zbMATHGoogle Scholar
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    R. Garmann. “Hierarchical radiosity-an analysis of computational complexity.” Research Report 584/1995, Fachbereich Informatik, Universität Dortmund, Germany, D-44221 Dort-mund, August 1995. Also available at http://ls7-www.informatik.uni-dortmund.de Google Scholar
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    P. Hanrahan, D. Salzman, and L. Aupperle. “A rapid hierarchical radiosity algorithm.” Computer Graphics, vol. 25, pp. 197–206, July 1991.Google Scholar
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    D. Lischinski, B. Smits, and D. P. Greenberg. “Bounds and error estimates for radiosity.” In Proceedings of SIGGRAPH 94, pp. 67–74, 1994.Google Scholar
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    F. X. Sillion and C. Puech. Radiosity &Global Illumination. Morgan Kaufman, San Francisco, 1994.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Robert Garmann
    • 1
  • Heinrich Müller
    • 1
  1. 1.Informatik VII (Computer Graphics) University of DortmundDortmundGermany

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