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Funkhouser, T., Tsingos, N., Carlbom, I., Elko, G., Sondhi, M., West, J., Pingali, G., Min, P. and Ngan, A. (2004) A Beam Tracing Method for Interactive Architectural Acoustics. The Journal of the Acoustical Society of America, 115, 739-756.
http://dx.doi.org/10.1121/1.1641020

has been cited by the following article:

• TITLE: Analytical Computation of Acoustic Bidirectional Reflectance Distribution Functions

  AUTHORS: Jaume Durany, Toni Mateos, Adan Garriga

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

  JOURNAL NAME: Open Journal of Acoustics, Vol.5 No.4, December 25, 2015

  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.