Modeling late reverberation in real-time interactive applications is a challenging task when multiple sound sources and listeners are present in the same environment. This is especially problematic when the environment is geometrically complex and/or features uneven energy absorption (e.g. coupled volumes), because in such cases the late reverberation is dependent on the sound sources' and listeners' positions, and therefore must be adapted to their movements in real time. We present a novel approach to the task, named modal decomposition of acoustic radiance transfer (MoD-ART), which can handle highly complex scenarios with efficiency. The approach is based on the geometrical acoustics method of acoustic radiance transfer, from which we extract a set of energy decay modes and their positional relationships with sources and listeners. In this paper, we describe the physical and mathematical significance of MoD-ART, highlighting its advantages and applicability to different scenarios. Through an analysis of the method's computational complexity, we show that it compares very favorably with ray-tracing. We also present simulation results showing that MoD-ART can capture multiple decay slopes and flutter echoes.

翻译：在实时交互应用中，当多个声源与听者共存于同一环境时，对晚期混响进行建模是一项具有挑战性的任务。当环境几何结构复杂和/或存在非均匀能量吸收特性（如耦合空间）时，这一问题尤为突出，因为此类场景中的晚期混响取决于声源与听者的位置关系，必须实时适应其运动变化。本文提出一种名为声能传递模态分解的新方法，能够高效处理高度复杂的声学场景。该方法基于几何声学中的声能传递理论，从中提取出一组能量衰减模态及其与声源、听者的位置关联。本文阐述了MoD-ART的物理意义与数学内涵，重点分析了其在不同场景中的优势与适用性。通过计算复杂度分析，证明该方法较射线追踪法具有显著优势。仿真结果表明，MoD-ART能够准确捕捉多段衰减斜率与颤动回声现象。