乐器建模中的逆问题：结构化分类与综述
Inverse Problems in Musical Instrument Modeling: A Structured Taxonomy and Review
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中文总结 AI 辅助
本文针对乐器建模中的逆问题提出结构化分类体系，将其划分为十项任务，并系统综述了相关方法，为音乐声学中的逆问题研究提供了统一分析框架。
中文摘要 AI 辅助
逆问题广泛出现在音乐声学的各类应用中，包括基于物理的声合成、乐器建模、设计与优化。然而，由于这些问题固有的病态特性以及对测量噪声的强敏感性，它们本质上极具挑战性。本文提出了一种针对乐器建模中逆问题的结构化分类体系和系统性综述，为其分类与分析提供了一个统一框架。我们将乐器建模中的逆问题划分为十项不同任务：机械参数估计；几何参数估计；损耗估计；边界条件估计；模态参数估计；激励与发音参数估计；声音匹配或模型参数拟合；乐器设计与优化；场重建、表征与分离；物理模型识别与发现。
英文摘要
Inverse problems arise in a wide range of applications in musical acoustics, including physics-based sound synthesis, musical instrument modeling, design, and optimization. However, these problems are inherently challenging due to their ill-conditioned nature and strong sensitivity to measurement noise. This paper presents a structured taxonomy and systematic review of inverse problems in musical instrument modeling, providing a unified framework for their classification and analysis. We categorize inverse problems in musical instrument modeling into ten distinct tasks: mechanical parameter estimation; geometric parameter estimation; loss estimation; boundary condition estimation; modal parameter estimation; excitation and articulatory parameter estimation; sound matching or model parameter fitting; instrument design and optimization; field reconstruction, characterization and separation; physical model identification and discovery.
发表机构
- McGill University（麦吉尔大学）
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