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The rendering equation
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Source ACM SIGGRAPH Computer Graphics archive
Volume 20 ,  Issue 4  (August 1986) table of contents
Pages: 143 - 150  
Year of Publication: 1986
ISSN:0097-8930
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ACM  New York, NY, USA
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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

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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S. CHANDRASEKAR Radiative Transfer, Oxford University Press, 1950.
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R. COURANT AND D. HILBERT, Mefhod.s ol mathematical phi/sies 2 vols., Intersclence, New York 1953, 1962.
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R.P. FEYNMAN AND A.P. HIBBS Quantum Mechanic8 and Path Integrals, McGraw-Hill, New York 1965.
 
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H. GOLDgTEIN Classic~ Mechanics Addisoll-Wesley, Resoling, M~s. 1950.
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I.H. HALTON aA retrospective and prospective survey of the monte carlo methodm, SIAM Rev. 12, pp.1-63, 1970.
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R. SIEGEL, J.R. HOWELL Thermai Radiation Heat ~awfer, McGraw Hill, New York, 1981.
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S. YAKOWITZ, eL a~. "Weighted monte c~rlo integr~tio~~, SIAM J. Num. An. 15,6, pp.1289-1300, 1978.

CITED BY  232