球谐切片Wasserstein位移插值用于声源与反射密度建模
Spherical Harmonic Sliced Wasserstein Displacement Interpolation for Acoustic Source and Reflection Density Modeling
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中文总结 AI 辅助
本文提出球谐切片Wasserstein插值方法,用于声源与反射密度建模,通过新展开高效拟合密度并评估插值,实验证明优于线性与几何插值并实现模型降阶。
中文摘要 AI 辅助
空间房间冲激响应(SRIR)捕获声源及其反射的方向分布。然而,采集移动声源的SRIR仍然是一个挑战,需要对测量值进行复杂插值,以考虑多路径时空动态。本文研究Wasserstein度量与位移,用于在球谐域中评估插值SRIR回波密度。我们提出了新的幅度平方和展开,用于高效拟合概率密度函数、最大化似然、逆采样和计算球谐切片Wasserstein插值。实验将Wasserstein位移和度量与沿直线路径的SRIR镜像源密度的线性和几何插值进行比较,并展示了模型阶数缩减。
英文摘要
Spatial room impulse responses (SRIRs) capture directional distributions of acoustic sound-sources and their reflections. However, collecting SRIRs of moving sound-sources remains a challenge, requiring complex interpolations across measurements that account for multi-path spatial-temporal dynamics. This paper investigates the Wasserstein metric and displacement for evaluating interpolated SRIR echo densities in the spherical harmonic domain. We present novel sum-of-magnitude square expansions for efficiently fitting probability density functions, maximizing likelihood, inverse sampling, and computing spherical sliced Wasserstein interpolations. Experiments compare the Wasserstein displacements and metric to linear and geometric interpolations of SRIR image-source densities on a line-path, and demonstrate model-order reduction.
发表机构
- NuSpace Audio
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