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KIAM Preprint № 65, Moscow, 2023
Authors: Ershov S.V., Frolov V.A., Nikolaev A.A., Voloboy A.G.
Langevin dynamics in stochastic ray tracing: computational experiments
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 third part of the study. It describes the computational experiments performed with various modifications of the method. Based on the analysis of the results, it was concluded that the preconditioning matrix, which does not require calculation of the gradient of the potential, has the greatest importance for convergence. This allows one to significantly accelerate calculations.
Keywords:
global illumination, stochastic ray tracing, Markov chain, Langevin equation
Publication language: russian,  pages: 20
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Ershov Sergey Valentinovich,  orcid.org/0000-0002-5493-1076KIAM RAS
  • Frolov Vladimir Alexandrovich,  orcid.org/0000-0001-8829-9884KIAM RAS
  • Nikolaev Alexander Alexeevich,  orcid.org/0009-0005-3840-7038Lomonosov Moscow State University
  • Voloboy Alexey Gennadievich,  orcid.org/0000-0003-1252-8294KIAM RAS