“The rendering equation” by Kajiya
Conference:
Type(s):
Title:
- The rendering equation
Presenter(s)/Author(s):
Abstract:
We present an integral equation which generalizes a variety of known rendering algorithms. In the course of discussing a monte carlo solution we also present a new form of variance reduction, called Hierarchical sampling and give a number of elaborations shows that it may be an efficient new technique for a wide variety of monte carlo procedures. The resulting rendering algorithm extends the range of optical phenomena which can be effectively simulated.
References:
- J.L. BENTLEY, J.H. FRIEDMAN “Data structures for range searchingj, ACM Comp. Surv., 11,4, pp.397-409., 1979.
- S. CHANDRASEKAR Radiative Transfer, Oxford University Press, 1950.
- M.F. COHEN, D.P. GREENBURC aThe Heml-cube: a Ra~liosltysolution for complex environments~, Computer Graphics 19,3, pp.31- 40, 1985.
- R.L. COOK, T. PORTER, L CARPENTER “Distributed ray tracing”, Computer Gr~ph~cslS,3, pp.137-146,1984.
- R.L. COOK, “Stochastic sampling in computer graphics~, to appear in ACM Transactions of Graphics
- R. COURANT AND D. HILBERT, Mefhod.s ol mathematical phi/sies 2 vols., Intersclence, New York 1953, 1962.
- F.C. CROW ~Summed area tables for texture mapping~, Computer Graphics 18,3, pp.207-212, 1984.
- R.P. FEYNMAN AND A.P. HIBBS Quantum Mechanic8 and Path Integrals, McGraw-Hill, New York 1965.
- H. GOLDgTEIN Classic~ Mechanics Addisoll-Wesley, Resoling, M~s. 1950.
- C. M. GORAL, K.E. TORRANCE, D.P. GREENBURG “Modeling the i~ter~tion of light between diffuse sud~es’, Computer Graphics 18,3, pp.213-222, 1984.
- I.H. HALTON aA retrospective and prospective survey of the monte carlo methodm, SIAM Rev. 12, pp.1-63, 1970.
- j.T. KAJIYA, B. VON HERZEN ~L~y tr~ing volume densitites”, Computer Graphics 18,3, pp.165-174, 1984.
- M.E. LEE, R.A. REDNER, S.P. USELTON’Statistieally Optimized Sampling for distributed ray traclng~ Computer graphics v.19,3 pp.61-67.
- T. NISHITA, E. NAKAMAE ~Continuoss tone representation of three dimensional objects taking account of shadows and interreflection”, Computer Graphlcs19,3, pp.23-30, 1985.
- R.Y. RUBENSTEIN Simulation and tat Alonte Carlo A~{ethod, J.Wiley, New York, 1981.
- R. SIEGEL, J.R. HOWELL Thermai Radiation Heat ~awfer, McGraw Hill, New York, 1981.
- T. WHITTED SAn improved illumination model for shaded display”, Comm. ACM, 23,6, pp.343-349, June 1980.
- S. YAKOWITZ, eL a~. “Weighted monte c~rlo integr~tio~~, SIAM J. Num. An. 15,6, pp.1289-1300, 1978.