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Random walk radiosity with generalized absorption probabilities

The author studies random walk estimators for radiosity with generalized absorption probabilities. That is, a path will either die or survive on a patch according to an arbitrary probability. The estimators studied so far, the infinite path length estimator and finite path length one, can be considered as particular cases. Practical applications of the random walks with generalized probabilities are given. A necessary and sufficient condition for the existence of the variance is given, together with heuristics to be used in practical cases. The optimal probabilities are also found for the case when one is interested in the whole scene, and are equal to the reflectivities

IEEE

Author: Sbert, Mateu
Abstract: The author studies random walk estimators for radiosity with generalized absorption probabilities. That is, a path will either die or survive on a patch according to an arbitrary probability. The estimators studied so far, the infinite path length estimator and finite path length one, can be considered as particular cases. Practical applications of the random walks with generalized probabilities are given. A necessary and sufficient condition for the existence of the variance is given, together with heuristics to be used in practical cases. The optimal probabilities are also found for the case when one is interested in the whole scene, and are equal to the reflectivities
Document access: http://hdl.handle.net/2072/94972
Language: eng
Publisher: IEEE
Rights: Tots els drets reservats
Subject: Montecarlo, Mètode de
Probabilitats
Rutes aleatòries (Matemàtica)
Monte Carlo method
Probabilities
Random walks
Title: Random walk radiosity with generalized absorption probabilities
Type: info:eu-repo/semantics/article
Repository: Recercat

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