Abstract
This paper gives a detailed derivation of the constant radiosity step, a transformation of the radiosity equation system that can be used to accelerate iteration methods for solving the problem of diffuse light propagation in closed environments. This iteration step can be performed without calculating form factors and can be applied to classic and stochastic radiosity methods. It simultaneously changes each member of the current solution vector by the same amount, thereby reducing the magnitude of the residual vector. The elements of the residual vector are changed in proportion to the absorption of the corresponding patch, so that the sum of the elements of the new residual vector is zero.
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References
M. Cohen, D. Greenberg,: The Hemi-Cube — A Radiosity Solution for Complex Environments. Computer Graphics, Vol. 19, N° 3, 1985
M. Cohen, D. Greenberg, D. Immel, P. Brock,: An Efficient Radiosity Approach for Realistic Image Synthesis. IEEE Computer Graphics & Applications, Vol. 6, N° 2, 1986
M. Cohen, S. Chen, J. Wallace, D. Greenberg,: A Progressive Refinement Approach for Fast Radiosity Image Generation. Computer Graphics, Vol. 22, N° 4, 1988
M. Feda, W. Purgathofer,: Accelerating Radiosity by Overshooting. Proceedings of the 3rd Eurographics Workshop on Rendering, Bristol, UK, 1992
C. Goral, K. Torrance, D. Greenberg, B. Battaile,: Modeling the Interaction of Light Between Diffuse Surfaces. Computer Graphics, Vol. 18, N° 3, pp. 213–222, 1984
E.P. Lafortune, Y.D. Williams,: The Ambient Term as a Variance Reducing Technique for Monte Carlo Ray Tracing. Proceedings of the 5th Eurographics Workshop on Rendering, Darmstadt, BRD, 1994
L. Neumann, M. Feda, M. Kopp, W. Purgathofer,: A New Stochastic Radiosity Method for Highly Complex Scenes. Proceedings of the 5th Eurographics Workshop on Rendering, Darmstadt, BRD, 1994
L. Neumann,: New Efficient Algorithms with Positive Definite Radiosity Matrix. Proceedings of the 5th Eurographics Workshop on Rendering, Darmstadt, BRD, 1994
L. Neumann,: Monte Carlo Radiosity. Computing, Vol. 55, N° 1, pp. 23–42, 1995
L. Neumann, W. Purgathofer, R.F. Tobler, A. Neumann, P. Elias, M. Feda, X. Pueyo,: The Stochastic Ray Radiosity. Proceedings of the 6th Eurographics Workshop on Rendering, Dublin, 1995.
S. N. Pattanaik, S. P. Mudur,: Computation of Global Illumination by Monte Carlo Simulation of the Particle Model of Light. Proceedings of the 3rd Eurographics Workshop on Rendering, Bristol, UK, 1992
R. Recker, D. George, D. Greenberg,: Acceleration Techniques for Progressive Refinement Radiosity. Computer Graphics, Vol. 24, N° 2, 1990
P. Shirley,: A Ray Tracing Method for Illumination Calculation in Diffuse-Specular Scenes. Proceedings of Graphics Interface 90, pp. 205–212, Halifax, Nova Scotia, May 1990
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© 1995 Springer-Verlag/Wien
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Neumann, L., Tobler, R.F., Eliás, P. (1995). The Constant Radiosity Step. In: Hanrahan, P.M., Purgathofer, W. (eds) Rendering Techniques ’95. EGSR 1995. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9430-0_32
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DOI: https://doi.org/10.1007/978-3-7091-9430-0_32
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