Analytical Computation of Acoustic Bidirectional Reflectance Distribution Functions

• 作者: Adan Garriga Jaume Durany Toni Mateos
• 来源期刊: 声学期刊(英文)
• 学科: 数学
• 关键词: ROOM Acoustics ROOM ACOUSTIC RENDERING Equation Vector Based Scattering RAY TRACING Audio RENDERING
• 年，卷（期）: 2015,（4）
• 页码范围: 207-217
• 页数: 11页
• 分类号: O1

摘要

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.