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Domain decomposition for the computation of radiosity in lighting simulation; Decomposition de domaines pour le calcul de la radiosite en simulation d'eclairage

Thesis/Dissertation:

Abstract

This work deals with the equation of radiosity, this equation describes the transport of light energy through a diffuse medium, its resolution enables us to simulate the presence of light sources. The equation of radiosity is an integral equation who admits a unique solution in realistic cases. The different methods of solving are reviewed. The equation of radiosity can not be formulated as the integral form of a classical partial differential equation, but this work shows that the technique of domain decomposition can be successfully applied to the equation of radiosity if this approach is framed by considerations of physics. This method provides a system of independent equations valid for each sub-domain and whose main parameter is luminance. Some numerical examples give an idea of the convergence of the algorithm. This method is applied to the optimization of the shape of a light reflector.
Authors:
Publication Date:
Jul 01, 1998
Product Type:
Thesis/Dissertation
Report Number:
FRNC-TH-4459
Reference Number:
EDB-00:105407
Resource Relation:
Other Information: TH: These sciences et techniques: batiment. Travaux publics; PBD: 1998
Subject:
42 ENGINEERING; LIGHT TRANSMISSION; LIGHTING SYSTEMS; VISIBILITY; PARTIAL DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; OPTICAL REFLECTION; OPTIMIZATION
OSTI ID:
20117333
Research Organizations:
Nancy-1 Univ., 54 (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR0005425
Availability:
Available from Bibliotheque Universitaire Hanry-Poincare Nancy 1, 24 rue Lionnois, B.P. 3069, 54013 - Nancy cedex (France)
Submitting Site:
FR
Size:
[200] pages
Announcement Date:

Thesis/Dissertation:

Citation Formats

Salque, B. Domain decomposition for the computation of radiosity in lighting simulation; Decomposition de domaines pour le calcul de la radiosite en simulation d'eclairage. France: N. p., 1998. Web.
Salque, B. Domain decomposition for the computation of radiosity in lighting simulation; Decomposition de domaines pour le calcul de la radiosite en simulation d'eclairage. France.
Salque, B. 1998. "Domain decomposition for the computation of radiosity in lighting simulation; Decomposition de domaines pour le calcul de la radiosite en simulation d'eclairage." France.
@misc{etde_20117333,
title = {Domain decomposition for the computation of radiosity in lighting simulation; Decomposition de domaines pour le calcul de la radiosite en simulation d'eclairage}
author = {Salque, B}
abstractNote = {This work deals with the equation of radiosity, this equation describes the transport of light energy through a diffuse medium, its resolution enables us to simulate the presence of light sources. The equation of radiosity is an integral equation who admits a unique solution in realistic cases. The different methods of solving are reviewed. The equation of radiosity can not be formulated as the integral form of a classical partial differential equation, but this work shows that the technique of domain decomposition can be successfully applied to the equation of radiosity if this approach is framed by considerations of physics. This method provides a system of independent equations valid for each sub-domain and whose main parameter is luminance. Some numerical examples give an idea of the convergence of the algorithm. This method is applied to the optimization of the shape of a light reflector.}
place = {France}
year = {1998}
month = {Jul}
}