Analytical Computation of Acoustic Bidirectional Reflectance Distribution Functions

Jaume Durany; Toni Mateos; Adan Garriga

doi:10.4236/oja.2015.54016

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OJA> Vol.5 No.4, December 2015

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Analytical Computation of Acoustic Bidirectional Reflectance Distribution Functions

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DOI: 10.4236/oja.2015.54016 3,072 Downloads 3,616 Views Citations

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Jaume Durany¹, Toni Mateos², Adan Garriga³

Affiliation(s)

¹Department of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona, Spain.
²Dolby Laboratories, Barcelona, Spain.
³Eurecat-Technology Centre of Catalonia, Barcelona, Spain.

ABSTRACT

The Room Acoustic Rendering Equation introduced in [1] formalizes a variety of room acoustics modeling algorithms. One key concept in the equation is the Acoustic Bidirectional Reflectance Distribution Function (A-BRDF) which is the term that models sound reflections. In this paper, we present a method to compute analytically the A-BRDF in cases with diffuse reflections parametrized by random variables. As an example, analytical A-BRDFs are obtained for the Vector Based Scattering Model, and are validated against numerical Monte Carlo experiments. The analytical computation of A-BRDFs can be added to a standard acoustic ray tracing engine to obtain valuable data from each ray collision thus reducing significantly the computational cost of generating impulse responses.

KEYWORDS

Room Acoustics, Room Acoustic Rendering Equation, Vector Based Scattering, Ray Tracing, Audio Rendering

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Durany, J. , Mateos, T. and Garriga, A. (2015) Analytical Computation of Acoustic Bidirectional Reflectance Distribution Functions. Open Journal of Acoustics, 5, 207-217. doi: 10.4236/oja.2015.54016.

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