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Preprints of the Keldysh Institute of Applied Mathematics, 2023, 063, 20 pp.
DOI: https://doi.org/10.20948/prepr-2023-63
(Mi ipmp3195)
 

This article is cited in 4 scientific papers (total in 4 papers)

Langevin dynamics in stochastic ray tracing: computing the preconditioning matrix according to restrictions and choice of time step

S. V. Ershov, V. A. Frolov, A. A. Nikolaev, A. G. Voloboy
References:
Abstract: The main computationally extensive task of realistic computer graphics is the calculation of global illumination. The work investigates the speed of the convergence of lighting simulation using Monte Carlo integration based on the Langevin equation. The paper presents the first part of the work, which provides a detailed overview of the problem, examines the influence of the divergent term, the choice of the integration step, and derives formulae for calculating the preconditioning matrix. It is shown how these aspects affect convergence.
Keywords: global illumination, stochastic ray tracing, Markov chain, Langevin equation.
Document Type: Preprint
Language: Russian
Citation: S. V. Ershov, V. A. Frolov, A. A. Nikolaev, A. G. Voloboy, “Langevin dynamics in stochastic ray tracing: computing the preconditioning matrix according to restrictions and choice of time step”, Keldysh Institute preprints, 2023, 063, 20 pp.
Citation in format AMSBIB
\Bibitem{ErsFroNik23}
\by S.~V.~Ershov, V.~A.~Frolov, A.~A.~Nikolaev, A.~G.~Voloboy
\paper Langevin dynamics in stochastic ray tracing: computing the preconditioning matrix according to restrictions and choice of time step
\jour Keldysh Institute preprints
\yr 2023
\papernumber 063
\totalpages 20
\mathnet{http://mi.mathnet.ru/ipmp3195}
\crossref{https://doi.org/10.20948/prepr-2023-63}
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  • https://www.mathnet.ru/eng/ipmp3195
  • https://www.mathnet.ru/eng/ipmp/y2023/p63
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    References:12
     
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