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古琴面板纹理特征与振动特性的定量关联分析

Quantitative Correlation Analysis of Texture Features and Vibration Characteristics of Guqin Soundboards

  • 摘要: 针对古琴面板选材缺乏客观量化标准的问题,提出基于计算机视觉纹理特征的振动特性预测方法。选取100张标准化面板样本,采集高分辨率图像与声学振动信号。提取灰度共生矩阵(gray level co-occurrence matrix, GLCM)、Gabor滤波能量等视觉特征及基频、谱质心等声学参量,利用梯度提升回归树(gradient boosting regression tree, GBRT)构建非线性映射模型,并采用沙普利加性解释(shapley additive explanations, SHAP)解析特征贡献度。结果表明宏观纹理与声学响应显著相关,纹理对比度与基频的相关系数为0.88;模型对基频预测的的决定系数为0.932,均方根误差4.25 Hz;谱质心与谐波噪声比的决定系数分别为0.662和0.845。表征密度梯度与纹理走向的宏观结构特征贡献率达70%,颜色特征无显著影响。该方法验证了“观纹辨音”的物理机制,为古琴选材提供了量化依据。

     

    Abstract: To address the lack of objective, quantitative standards for guqin soundboard material selection, this study proposes a prediction method for vibration characteristics based on computer vision–derived texture features. One hundred standardized soundboard samples were selected to acquire high-resolution images and acoustic vibration signals. Visual texture features—including Gray-Level Co-occurrence Matrix (GLCM) metrics (e.g., contrast, homogeneity, entropy) and Gabor filter energy—were extracted, alongside acoustic parameters such as fundamental frequency and spectral centroid. A nonlinear mapping model was constructed using the Gradient Boosting Regression Tree (GBRT) algorithm, and feature importance was interpreted via the Shapley Additive exPlanations (SHAP) method. Results reveal a strong physical correlation between macroscopic wood texture and acoustic response: texture contrast exhibits a correlation coefficient of 0.88 with fundamental frequency. The model achieves a coefficient of determination (*R*2) of 0.932 for fundamental frequency prediction, with a root mean square error (RMSE) of 4.25 Hz. Corresponding *R*2 values for spectral centroid and harmonic-to-noise ratio (HNR) are 0.662 and 0.845, respectively. SHAP-based feature analysis shows that macroscopic structural features—particularly those characterizing density gradient and texture direction—account for over 70% of model contribution, whereas color-related features show no statistically significant influence. This work empirically validates the traditional guqin-making principle of “judging sound by texture” (*yin wén xuan yin*) and establishes a quantitative, image-based framework for objective soundboard material evaluation.

     

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