The perceived roughness of macroscopic surface features is related to finger skin deformation. For example, skin indentation into surface grooves and the spatial variation in slowly adapting type 1 (SAI) mechanoreceptor activities are linked to the magnitude of subjective roughness. However, the perception of macroscopic roughness has not been directly linked to the spatial variations in skin deformation; therefore, this article investigated the relationship between the subjective roughness magnitude and the spatial spectrum of skin deformation through contact with roughened macroscopic surfaces. Experiments were performed to measure deformation of a finger pad when it statically touched different shaped grating scales. Then, the spatial spectra of skin deformation were computed by applying the Gabor filter with varying spatial selectivity. Some spectral components, particularly those for the spatial period ranging from 2.45–4.00 mm, exhibited a good correlation with the perceived roughness magnitude. When the optimal spatial periods were determined for individual subjects, the spectral components and perceived roughness exhibited a strong linear relationship with an average correlation coefficient of 0.94. Therefore, the amount of spatial variation in finger skin deformation can be linked to the subjective roughness intensities of macroscopic surface features.

中文翻译：

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静态皮肤变形的空间变化与宏观表面感知粗糙度的关系

宏观表面特征的感知粗糙度与手指皮肤变形有关。例如，表面凹槽中的皮肤压痕和缓慢适应 1 型 (SAI) 机械感受器活动的空间变化与主观粗糙度的大小有关。然而，宏观粗糙度的感知与皮肤变形的空间变化没有直接联系。因此，本文通过与粗糙的宏观表面接触，研究了主观粗糙度大小与皮肤变形空间谱之间的关系。进行了实验以测量当手指垫静态接触不同形状的光栅尺时的变形。然后，通过应用具有不同空间选择性的 Gabor 滤波器计算皮肤变形的空间光谱。一些光谱分量，特别是那些空间周期为 2.45-4.00 毫米的光谱分量，与感知的粗糙度大小具有良好的相关性。当确定个体受试者的最佳空间周期时，光谱成分和感知粗糙度表现出很强的线性关系，平均相关系数为 0.94。因此，手指皮肤变形的空间变化量可以与宏观表面特征的主观粗糙度强度相关联。光谱成分和感知粗糙度表现出很强的线性关系，平均相关系数为 0.94。因此，手指皮肤变形的空间变化量可以与宏观表面特征的主观粗糙度强度相关联。光谱成分和感知粗糙度表现出很强的线性关系，平均相关系数为 0.94。因此，手指皮肤变形的空间变化量可以与宏观表面特征的主观粗糙度强度相关联。