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Error and complexity of random walk Monte Carlo radiosity

The author studies the error and complexity of the discrete random walk Monte Carlo technique for radiosity, using both the shooting and gathering methods. The author shows that the shooting method exhibits a lower complexity than the gathering one, and under some constraints, it has a linear complexity. This is an improvement over a previous result that pointed to an O(n log n) complexity. The author gives and compares three unbiased estimators for each method, and obtains closed forms and bounds for their variances. The author also bounds the expected value of the mean square error (MSE). Some of the results obtained are also shown

© IEEE Transactions on Visualization and Computer Graphics, 1997, vol. 3, núm. 1, p. 23-38

IEEE

Author: Sbert, Mateu
Date: 1997
Abstract: The author studies the error and complexity of the discrete random walk Monte Carlo technique for radiosity, using both the shooting and gathering methods. The author shows that the shooting method exhibits a lower complexity than the gathering one, and under some constraints, it has a linear complexity. This is an improvement over a previous result that pointed to an O(n log n) complexity. The author gives and compares three unbiased estimators for each method, and obtains closed forms and bounds for their variances. The author also bounds the expected value of the mean square error (MSE). Some of the results obtained are also shown
Format: application/pdf
Citation: Sbert, M. (1997). Error and complexity of random walk Monte Carlo radiosity. IEEE Transactions on Visualization and Computer Graphics, 3 (1), 23-38. Recuperat 8 octubre 2010, a http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=582339
ISSN: 1077-2626
Document access: http://hdl.handle.net/10256/3070
Language: eng
Publisher: IEEE
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1109/2945.582339
Articles publicats (D-IMA)
Is part of: © IEEE Transactions on Visualization and Computer Graphics, 1997, vol. 3, núm. 1, p. 23-38
Rights: Tots els drets reservats
Subject: Anàlisi d’error (Matemàtica)
Complexitat computacional
Infografia
Montecarlo, Mètode de
Rutes aleatòries (Matemàtica)
Error analysis (Mathematics)
Computer graphics
Computational complexity
Monte Carlo method
Random walks
Title: Error and complexity of random walk Monte Carlo radiosity
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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