Theory and application of specular path perturbation

ACM Transactions on Graphics

Volumn 19, Issue 4, 2000, Pages 246-278

  Chen, Min ^a   Arvo, James ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Algorithms; Implicit surfaces; Optics, perturbation theory specular; Performance; Reflection; Taylor series

Indexed keywords

EID: 0041031020     PISSN: 07300301     EISSN: None     Source Type: Journal    
DOI: 10.1145/380666.380670     Document Type: Article

References (28)

1. ADELSON, S. J. AND HODGES, L. F. 1995. Generating exact ray-traced animation frames by reprojection. IEEE Comput. Graph. Appl. 15, 3, 43-52.
2. ADELSON, S. J. AND HODGES, L. 1993. Stereoscopic ray tracing. Visual Comput. 10, 3, 127-144.
3. APOSTOL, T. M. 1969. Calculus II: Multi-Variable Calculus and Linear Algebra, with Applications to Differential Equations and Probability. John Wiley and Sons, Inc., New York, NY.
4. ARVO, J. AND KIRK, D. 1989. A survey of ray tracing acceleration techniques. In An Introduction to Ray Tracing, A. S. Glassner, Ed. Academic Press Ltd., London, UK, 201-262.
5. AZIZ, A. AND NA, T. Y. 1984. Perturbation Methods in Heat Transfer. Hemisphere Publishing Corp., New York, NY.
6. BADT, S. JR. 1988. Two algorithms for taking advantage of temporal coherence in ray tracing. Visual Comput. 4, 3 (Sept.), 123-132.
7. BORN, M. AND WOLF, E. 1965. Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light. 3rd ed. Pergamon Press, Inc., Tarrytown, NY.
8. BRIÈRE, N. AND POULIN, P. 1996. Hierarchical view-dependent structures for interactive scene manipulation. In Proceedings of the 23rd Annual Conference on Computer Graphics (SIGGRAPH '96, New Orleans, LA, Aug. 4-9), J. Fujii, Chair. Annual conference series. ACM Press, New York, NY, 83-90.
9. CHAPMAN, J., CALVERT, T. W., AND DILL, J. 1990. Exploiting temporal coherence in ray tracing. In Proceedings of the Conference on Graphics Interface (Halifax, Nova Scotia, May 14-18), S. MacKay and E. M. Kidd, Eds. Canadian Information Processing Society, Toronto, Canada, 196-204.
10. CHAPMAN, J., CALVERT, T. W., AND DILL, J. 1991. Spatio-temporal coherence in ray tracing. In Proceedings of the Conference on Graphics Interface '91 (Calgary, Alberta, June 3-7), W. A. Davis and B. Wyvill, Chairs. Morgan Kaufmann Publishers Inc., San Francisco, CA, 101-108.
11. CHEN, M. 1999. Perturbation methods for image synthesis. Master's Thesis. California Institute of Technology, Pasadena, CA. ftp://ftp.cs.caltech.edu/tr/cs-tr-99-05.ps.Z.
12. CHEN, M. AND ARVO, J. 2000. Perturbation methods for interactive specular reflections. IEEE Trans. Visual. Comput. Graph. 6, 3 (July-Sept.), 253-264.
13. COLE, J. D. 1968. Perturbation Methods in Applied Mathmatics. Blaisdell Publishing Co., London, UK.
14. COOK, R. L. 1998. Shade trees. In Proceeding of the 25th SIGGRAPH Conference Celebration on Seminal Graphics: Pioneering Effects that Shaped the Field (SIGGRAPH '98), R. Wolfe, Ed. ACM Press, New York, NY, 137-145.
15. DYKE, M. V. 1964. Perturbation Methods in Fluid Mechanics. Academic Press, Inc., New York, NY.
16. IGEHY, H. 1999. Tracing ray differentials. In Proceedings of the Conference on Computer Graphics (SIGGRAPH 99, Aug.). ACM Press, New York, NY, 179-186.
17. JEVANS, D. A. 1992. Object space temporal coherence for ray tracing. In Proceedings of the Conference on Graphics Interface '92 (Vancouver, BC, Canada, May 11-15), K. S. Booth and A. Fournier, Eds. Morgan Kaufmann Publishers Inc., San Francisco, CA, 176-183.
18. LIN, C. C. AND SEGEL, L. A. 1988. Mathematics Applied to Deterministic Problems in the Natural Sciences. SIAM, Philadelphia, PA.
19. LISCHINSKI, D. AND RAPPOPORT, A. 1998. Image-based rendering for non-diffuse synthetic scenes. In Proceedings of the 9th Eurographics Workshop on Rendering (Vienna, Austria, June). Springer-Verlag, New York, NY, 301-314.
20. MARSDEN, J. E. AND HOFFMAN, M. J. 1993. Elementary Classical Analysis. W. H. Freeman and Co., New York, NY.
21. MITCHELL, D. AND HANRAHAN, P. 1992. Illumination from curved reflectors. SIGGRAPH Comput. Graph. 26, 2 (July), 283-291.
22. MURAKAMI, K. AND HIROTA, K. 1990. Incremental ray tracing. In Conference Proceedings of the Eurographics Workshop on Photosimulation, Realism and Physics in Computer Graphics (Rennes, France, June). 15-29.
23. NEUMANN, P. M. 1998. Reflections on reflection in a spherical mirror. Am. Math. Monthly 105, 6 (June-July), 523-528.
24. OFEK, E. AND RAPPOPORT, A. 1998. Interactive reflections on curved objects. In Proceedings of the 25th Annual Conference on Computer Graphics (SIGGRAPH '98, Orlando, FL, July 19-24), S. Cunningham, W. Bransford, and M. F. Cohen, Chairs. ACM Press, New York, NY, 333-342.
25. SEGEL, L. A. AND HANDELMAN, G. H. 1977. Mathematics Applied to Continuum Mechanics. Macmillan Publishing Co., Inc., Indianapolis, IN.
26. SÉQUIN, C. H. AND SMYRL, E. K. 1989. Parameterized ray-tracing. SIGGRAPH Comput. Graph. 23, 3 (July), 307-314.
27. SHINYA, M., TAKAHASHI, T., AND NAITO, S. 1987. Principles and applications of pencil tracing. SIGGRAPH Comput. Graph. 21, 4 (July), 45-54.
28. VEACH, E. AND GUIBAS, L. J. 1997. Metropolis light transport. In Proceedings of the 24th Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH '97, Los Angeles, CA, Aug. 3-8), G. S. Owen, T. Whitted, and B. Mones-Hattal, Chairs. ACM Press/Addison-Wesley Publ. Co., New York, NY, 65-76.