Modeling late reverberation at interactive speeds 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 meaningfulness 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 favourably with ray-tracing. We also present simulation results showing that MoD-ART can capture multiple decay slopes and flutter echoes.

翻译：在多个声源与听者共存于同一环境时，以交互速率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/或具有不均匀能量吸收特性（例如耦合空间）时，这一问题尤为突出，因为在此类情况下，晚期混响取决于声源与听者的位置，因此必须实时适应其移动。我们提出了一种名为声辐射传递模态分解（MoD-ART）的新方法，该方法能够高效处理高度复杂的场景。该方法基于声辐射传递的几何声学方法，从中我们提取出一组能量衰减模态及其与声源和听者的位置关系。本文阐述了MoD-ART的物理与数学意义，重点分析了其优势及对不同场景的适用性。通过对该方法计算复杂度的分析，我们证明其性能显著优于射线追踪法。同时，我们提供的仿真结果表明，MoD-ART能够准确捕捉多重衰减斜率与颤动回声。