Abstract
In this paper, we show how wavelet analysis can be used to provide an efficient solution method for global illumination with glossy and diffuse reflections. Wavelets are used to sparsely represent radiance distribution functions and the transport operator. In contrast to previous wavelet methods (for radiosity), our algorithm transports light directly among wavelets, and eliminates the pushing and pulling procedures.
The framework we describe supports curved surfaces and spatially-varying anisotropic BRDFs. We use importance to make the global illumination problem tractable for complex scenes, and a final gathering step to improve the visual quality of the solution.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bradley K. Alpert. Sparse Representations of Smooth Linear Operators. PhD thesis, Yale University, 1990.
Larry Aupperle and Pat Hanrahan. A hierarchical illumination algorithm for surfaces with glossy reflection. In Proceedings of SIGGRAPH’93, pages 155–162, August 1993.
Larry Aupperle and Pat Hanrahan. Importance and discrete three point transport. In Proceedings of the Fourth Eurographics Workshop on Rendering, pages 85–94, June 1993.
G. Beylkin, R. Coifman, and V. Rokhlin. Fast wavelet transforms and numerical algorithms I. Communications on Pure and Applied Mathematics, 44: 141–183, 1991.
G. Beylkin, R. R. Coifman, and V. Rokhlin. Wavelets in numerical analysis. In Mary Beth Rushkai et al., editors, Wavelets and Their Applications, pages 181–210. Jones and Bartlett, 1992.
Per H. Christensen, David H. Salesin, and Tony D. DeRose. A continuous adjoint formulation for radiance transport. In Proceedings of the Fourth Eurographics Workshop on Rendering, pages 95–104, June 1993.
Per H. Christensen, Eric J. Stollnitz, David H. Salesin, and Tony D. DeRose. Importance-driven wavelet radiance. Technical Report 94-01-05, Department of Computer Science and Engineering, University of Washington, January 1994.
Charles K. Chui and Ewald Quak. Wavelets on a bounded interval. Numerical Methods of Approximation Theory, 9: 53–75, 1992.
A. Cohen, I. Daubechies, and J. C. Feauveau. Biorthogonal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics, 45: 485–500, 1992.
Michael F. Cohen and John R. Wallace. Radiosity and Realistic Image Synthesis. Academic Press Professional, Cambridge, Massachusets, 1993.
Tony D. DeRose, David H. Salesin, and Eric J. Stollnitz. Wavelets for computer graphics: A primer. In SIGGRAPH’94 Computational Representations of Geometry Course Notes, July 1994.
Reid Gershbein, Peter Schroder, and Pat Hanrahan. Textures and radiosity: Controlling emission and reflection with texture maps. In Proceedings of SIGGRAPH’94, Pages 51–58, July 1994.
Cindy M. Goral, Kenneth E. Torrance, Donald P. Greenberg, and Bennett Battaile. Modeling the interaction of light between diffuse surfaces. In Proceedings of SIGGRAPH’84, pages 213–222, July 1984.
Steven J. Gortler, Peter Schroder, Micheal F. Cohen, and Pat Hanrahan. Wavelet radiosity. In Proceedings of SIGGRAPH’93, pages 221–230, August 1993.
Pat Hanrahan, David Salzman, and Larry Aupperle. A rapid hierarchical radiosity algorithm. In Proceedings of SIGGRAPH’91, pages 197–206, July 1991.
David S. Immel, Michael F. Cohen, and Donald P. Greenberg. A radiosity method for non-diffuse environments. In Proceedings of SIGGRAPH’86, pages 133–142, August 1986.
Stephane Mallat. A theory for multiresolution signal decomposition: The wavelet representation. IEEE Transactions on Pattern Analysis and Machine Intelligence, ll(7):674’693, July 1989.
Sumanta N. Pattanaik. Computational Methods for Global Illumination and Visualisation of Complex 3D Environments. PhD thesis, Birla Institute of Technology and Science, 1993.
Mark C. Reichert. A two-pass radiosity method driven by lights and viewer position. Master’s thesis, Program of Computer Graphics, Cornell University, Ithaca, New York, January 1992.
Peter Schroder, Steven J. Gortler, Micheal F. Cohen, and Pat Hanrahan. Wavelet projections for radiosity. In Proceedings of the Fourth Eurographics Workshop on Rendering, pages 95–104, June 1993.
Min-Zhi Shao, Qun-Sheng Peng, and You-Dong Liang. A new radiosity approach by procedural refinements for realistic image synthesis. In Proceedings of SIG- GRAPH’88, pages 93–102, August 1988.
François X. S illion, James R. Arvo, Stephen H. Westin, and Donald P. Greenberg. A global illumination solution for general reflectance distributions. In Proceedings of SIGGRAPH’91, pages 187–196, July 1991.
Brian E. Smits, James R. Arvo, and David H. Salesin. An importance-driven radiosity algorithm. In Proceedings of SIGGRAPH’92, pages 273–282, July 1992.
Roy Troutman and Nelson L. Max. Radiosity algorithms using higher order finite elements. In Proceedings of SIGGRAPH’93, pages 209–212, August 1993.
Gregory J. Ward. Measuring and modeling anisotropic reflection. In Proceedings of SIGGRAPH’92, pages 265–273, July 1992.
Harold R. Zatz. Galerkin radiosity. In Proceedings of SIGGRAPH’93, pages 213–220, August 1993.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 EUROGRAPHICS The European Association for Computer Graphics
About this paper
Cite this paper
Christensen, P., Stollnitz, E., Salesin, D., DeRose, T. (1995). Wavelet Radiance. In: Sakas, G., Müller, S., Shirley, P. (eds) Photorealistic Rendering Techniques. Focus on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87825-1_22
Download citation
DOI: https://doi.org/10.1007/978-3-642-87825-1_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-87827-5
Online ISBN: 978-3-642-87825-1
eBook Packages: Springer Book Archive