An integral equation generalizing a variety of known geometrical room acoustics modeling algorithms is presented. The formulation of the room acoustic rendering equation is adopted from computer graphics. Based on the room acoustic rendering equation, an acoustic radiance transfer method, which can handle both diffuse and nondiffuse reflections, is derived. In a case study, the method is used to predict several acoustic parameters of a room model. The results are compared to measured data of the actual room and to the results given by other acoustics prediction software. It is concluded that the method can predict most acoustic parameters reliably and provides results as accurate as current commercial room acoustic prediction software. Although the presented acoustic radiance transfer method relies on geometrical acoustics, it can be extended to model diffraction and transmission through materials in future.
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September 2007
September 01 2007
The room acoustic rendering equation
Samuel Siltanen;
Samuel Siltanen
a)
Telecommunications Software and Multimedia Laboratory,
Helsinki University of Technology
, P.O. Box 5400, FIN-02015 HUT, Finland
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Tapio Lokki;
Tapio Lokki
Telecommunications Software and Multimedia Laboratory,
Helsinki University of Technology
, P.O. Box 5400, FIN-02015 HUT, Finland
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Sami Kiminki;
Sami Kiminki
Telecommunications Software and Multimedia Laboratory,
Helsinki University of Technology
, P.O. Box 5400, FIN-02015 HUT, Finland
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Lauri Savioja
Lauri Savioja
Telecommunications Software and Multimedia Laboratory,
Helsinki University of Technology
, P.O. Box 5400, FIN-02015 HUT, Finland
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a)
Author to whom correspondence should be addressed. Electronic mail: samuel.siltanen@tml.hut.fi
J. Acoust. Soc. Am. 122, 1624–1635 (2007)
Article history
Received:
October 03 2006
Accepted:
July 05 2007
Citation
Samuel Siltanen, Tapio Lokki, Sami Kiminki, Lauri Savioja; The room acoustic rendering equation. J. Acoust. Soc. Am. 1 September 2007; 122 (3): 1624–1635. https://doi.org/10.1121/1.2766781
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