A new method for performance validation of surface texture parameter calculation software is introduced, focussing on field surface texture parameters. Surface height functions are defined mathematically, either using Fourier series or polynomials, and are then input into the surface texture parameter definitions to obtain mathematical parameter values. A series of user-adjustable parametric surface functions are defined that correspond to each surface texture parameter, enabling users to create a variety of surfaces to assess their software whilst still retaining mathematical traceability. This method is expanded to include complex surface textures. Chebyshev polynomials are used to perform numerical calculations of surface texture parameters for a selection of polynomial surface functions. Mathematical reference parameter values are calculated for a series of fifteen predefined surfaces and ten parametric surfaces to assess the performance of the software under test for a give...

中文翻译：

---

验证场地表面纹理参数软件的数学方法

介绍了一种用于表面纹理参数计算软件性能验证的新方法，重点是野外表面纹理参数。使用傅里叶级数或多项式以数学方式定义表面高度函数，然后将其输入到表面纹理参数定义中以获得数学参数值。定义了与每个表面纹理参数相对应的一系列用户可调整的参数化表面函数，使用户能够创建各种表面以评估其软件，同时仍保持数学可追溯性。该方法已扩展为包括复杂的表面纹理。Chebyshev多项式用于执行表面纹理参数的数值计算，以选择多项式表面函数。