Mathematical approach to the validation of surface texture filtration software

<pre>A novel method for the validation of surface texture filtration software is introduced. Mathematically traceable reference pairs for linear Gaussian filtration are developed, utilising Fourier series surface definitions in conjunction with the frequency dependent transmission characteristic of the linear Gaussian filter. The novel method is demonstrated using a library of reference pairs to validate the performance of five surface texture analysis software packages. Investigations into the effects of different surface properties are made in relation to the deviation of the software-obtained results from the traceable reference values. Analysis of variance tests are used to verify the statistical significance of the results.</pre>本文提出了一种用于表面纹理过滤软件验证的新型方法。针对线性高斯过滤任务，构建了数学可溯源的参考对，该参考对依托傅里叶级数（Fourier series）表面定义，并结合线性高斯滤波器（linear Gaussian filter）的频率相关传输特性实现。借助参考对库验证了五款表面纹理分析软件包的性能，以此演示该新型方法的实际应用效果。研究围绕不同表面特性对软件输出结果与可溯源参考值之间偏差的影响展开分析，并通过方差分析（Analysis of variance）检验验证了研究结果的统计学显著性。