Analytical Computation of Acoustic Bidirectional Reflectance Distribution Functions

J. Durany, T. Mateos, A. Garriga
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引用次数: 4

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.
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声学双向反射分布函数的解析计算
[1]中介绍的房间声学渲染方程形式化了各种房间声学建模算法。方程中的一个关键概念是声学双向反射分布函数(A-BRDF),它是模拟声音反射的术语。本文给出了一种用随机变量参数化漫反射时解析计算a - brdf的方法。以矢量散射模型为例,得到了解析式a - brdf,并通过蒙特卡罗数值实验进行了验证。a - brdf的解析计算可以添加到标准声射线追踪引擎中,从每次射线碰撞中获得有价值的数据,从而显著降低产生脉冲响应的计算成本。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
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