In this study, we explore the potential of class ratio transform with an application to describing the roughness anisotropy of natural rock joints. Roughness smooth coefficient, used for suitably smoothing the roughness parameter values to realize an anisotropic model, is proposed to represent the apparent anisotropy of surface roughness. The geometric irregularities of roughness parameters in polar plots allow transforming to a regular roughness asperity pattern, which can be readily approximated by the ellipse function. The joint roughness coefficients in different orientations of natural rock joints were measured and revealed to be identical after applying the smoothing process using the class ratio transform method. The results show that the roughness smooth coefficient increases with sample size but decreases as azimuthal interval narrows. This method demonstrates the ability in describing the roughness anisotropy and inferring the roughness parameters Z2, Rp, and θmax?/C+12?D.
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机译：在这项研究中，我们利用应用程序探讨了类别比变换的潜力，以描述天然摇滚关节的粗糙度各向异性。提出了用于适当平滑粗糙度参数值以实现各向异性模型的粗糙度平滑系数，以表示表面粗糙度的表观各向异性。极性图中的粗糙度参数的几何不规则性允许将常规粗糙度变换为粗糙度模式，其可以通过椭圆函数容易地近似。测量了自然岩会的不同取向的联合粗糙度系数，并在使用类比变换方法施加平滑过程后，以相同。结果表明，粗糙度平稳系数随着样本尺寸而增加，但随着方位角间隔的变窄而降低。该方法表明了描述粗糙度各向异性和推断粗糙度参数Z2，RP和θmax的能力Δ/ c +12≤d。
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