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H. Bateman. Report on the history and present state of the theory of integral equations. Report of the 18th Meeting of the British Association for the Advancement of Science, pages 345--424, 1910.

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in Global Illumination * - James Arvo Program   (Correct)

....the turn of the century [33, 18] but they did not become a mainstay of radiative transfer until much later. Up until 1926 much of the analysis of interreflection was still carried out in a more tedious manner [37] even though a significant theory of integral equations was already in existence [2, 3]. Buckley was one of the first to recast the analysis of radiative transfer problems into the modern language of integral equations [4] and this language has become an indispensible part of radiative transfer since then [16, 26, 6] Copyright 1993 by James Arvo 2 1 Linear Operatot and ....

H. Bateman. Report on the history and present state of the theory of integral equations. Report of the 13th Meeting of the British Associatio for the Advacemet of Sciece, pages 345 424, 1910. Sheffield, August 31 September 7.


A Framework for the Analysis of Error in Global.. - James Arvo.. (1994)   (11 citations)  (Correct)

....than their integral counterparts while capturing algebraic properties essential for error analysis. Operator equations were first applied to global illumination by Kajiya [18] although their connection with integral equations of a similar nature has been profitably explored for nearly a century [4]. Equation (1) can be expressed as an operator equation in numerous ways. We shall construct the central operator from two simpler ones, each based on standard radiometric concepts. The representation given here has two novel features: first, it cleanly separates notions of geometry and reflection ....

BATEMAN, H. Report on the history and present state of the theory of integral equations. Report of the 18th Meeting of the British Association for the Advancement of Science (1910), 345--424.


Linear Operators and Integral Equations in Global Illumination - Arvo (1993)   (1 citation)  (Correct)

....the turn of the century [33, 18] but they did not become a mainstay of radiative transfer until much later. Up until 1926 much of the analysis of interreflection was still carried out in a more tedious manner [37] even though a significant theory of integral equations was already in existence [2, 3]. Buckley was one of the first to recast the analysis of radiative transfer problems into the modern language of integral equations [4] and this language has become an indispensible part of radiative transfer since then [16, 26, 6] Copyright c fl1993 by James Arvo 2 1 Linear Operators and ....

H. Bateman. Report on the history and present state of the theory of integral equations. Report of the 18th Meeting of the British Association for the Advancement of Science, pages 345--424, 1910. Sheffield, August 31 -- September 7.


Linear Operators and Transfer Equations in Global Illumination - Arvo   (Correct)

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H. Bateman. Report on the history and present state of the theory of integral equations. Report of the 18th Meeting of the British Association for the Advancement of Science, pages 345--424, 1910.

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