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中文核心期刊

头相关传输函数边界元计算网格的模板建模法

Template-based boundary element mesh modeling for head-related transfer function computation

  • 摘要: 边界元法作为基于积分方程的数值计算方法, 在头相关传输函数(HRTF)模拟中已得到广泛应用, 但其前处理阶段仍需人工手动完成网格构建, 不仅耗费大量人工时间, 还会影响模拟结果的可重复性。因此, 提出在前处理阶段用模板法替代人工操作, 即基于人体头部形状相关性选取代表性的头部网格模板, 用于计算模型的坐标对齐、网格分级和耳道口声源设置等一系列前处理, 以简化模型并提高模型处理和HRTF计算的效率。结果表明, 模板法相较于人工法处理的计算模型, 其网格坐标系的转动和平移误差分别在约3°和3 mm以内, 耳道口声源位置差异不大于2.5 mm。该方法建模过程由计算机程序完成, 相比人工法的时间消耗可忽略不计。进一步分析表明, 基于模板法建立的计算模型, 其全空间HRTF数据的计算时间减少约55%, 在16 kHz以下谱误差基本在1.0 dB以内, ITD差异主要位于左右两侧且小于10 μs。最后, 用虚拟听觉定位模型证实两种建模方法得到的HRTF定位结果没有显著差异。所提建模方法在不降低精度的前提下显著提高了HRTF数值计算效率, 优化并规范了计算模型处理流程, 适用于大量受试者的个性化HRTF模拟。

     

    Abstract: The boundary element method (BEM), as a numerical approach based on integral equations, has been widely applied in the simulation of head-related transfer functions (HRTFs). However, its preprocessing still requires manual mesh construction, which not only consumes human effort but also compromises the reproducibility of the simulation results. In this study, a representative head mesh template was selected based on morphological correlations of human head shapes, enabling a series of automated preprocessing steps including coordinate alignment, mesh refinement, and source placement at the ear canal entrance, to simplify the computational model and enhance both model processing and HRTF calculation efficiency. Results obtained from the template-based preprocessing demonstrate that, compared with manual processing, the model mesh exhibits a consistent vertex sequence, with rotational and translational errors of the model coordinate system within approximately 3° and 3 mm, respectively, and discrepancies in ear canal source positions not exceeding 2.5 mm. The entire modeling procedure is fully automated by computer, and its time consumption is negligible compared with manual processing. Further analysis indicates that the template-based computational model reduces the calculation time of full-sphere HRTFs by approximately 55%, while maintaining spectral errors within 1.0 dB below 16 kHz, and interaural time difference (ITD) deviations confined to the lateral directions and less than 10 μs. Finally, validation with a virtual auditory localization model confirmed that no significant differences exist in the localization outcomes of HRTF derived from the two modeling methods. These findings demonstrate that the proposed modeling approach significantly improves the efficiency of HRTF numerical computation without sacrificing accuracy, while optimizing and standardizing the preprocessing workflow of computational models, making it suitable for large-scale personalized HRTF simulations.

     

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