%0 Journal Article
%T Analytical Computation of Acoustic Bidirectional Reflectance Distribution Functions
%A Jaume Durany
%A Toni Mateos
%A Adan Garriga
%J Open Journal of Acoustics
%P 207-217
%@ 2162-5794
%D 2015
%I Scientific Research Publishing
%R 10.4236/oja.2015.54016
%X 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.
%K Room Acoustics
%K Room Acoustic Rendering Equation
%K Vector Based Scattering
%K Ray Tracing
%K Audio Rendering
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=62211