In this paper, the frequency‐based decomposition approach (FBDA) for preprocessing of surface texture parameters calculation/assessment was proposed. Two types of textures were analysed: turned or grinded details. They were measured with interferometric method. For detection/minimization of high‐frequency measuring errors (HFME) the wavelets, Haar, Daubechies, Coiflet, biorthogonal or reverse‐biorthogonal approaches were proposed. Moreover, in some cases, the power spectrum density and/or autocorrelation function analysis provided an additional and/or valuable information about surface texture/features as well. It was assumed that application of various extraction methods (such as FBDA) can provide reasonable results for noise extraction in accordance to the commonly used algorithms, such as median filter, moving average (arithmetic mean) filter or other denoising procedures (e.g., Gaussian denoising filter) proposed in commercial software. The influence of proposed procedure on calculation (error minimization) of surface topography parameters (from ISO 25178 standard) was also presented. Some errors (especially those caused by false estimation of noise‐removal procedure) in surface topography parameter calculation were comprehensively studied with profile analysis; for areal HFME decomposition, the noise surface was defined. For some turned details, the HFME was observed in profiles analysis mostly. The biggest high frequencies from removed noise surface (created by noise extraction with FBDA) contained, the better results (of proposed approach) were obtained. It was also assumed that FBDA for preprocessing of both grinded and turned surfaces with various decomposition filters (in some cases the RBW) gave more ‘direct results’ that commonly used denoising approaches.

中文翻译：

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基于频率分解方法的建议，以最小化表面纹理参数计算中的误差

本文提出了一种基于频率的分解方法（FBDA），用于表面纹理参数的计算/评估。分析了两种类型的纹理：车削或磨削的细节。它们用干涉法测量。为了检测/最小化高频测量误差（HFME），提出了小波，Haar，Daubechies，Coiflet，双正交或反正交正交方法。此外，在某些情况下，功率谱密度和/或自相关函数分析还提供了有关表面纹理/特征的附加和/或有价值的信息。假设应用各种提取方法（例如FBDA）可以根据常用算法（例如中值滤波器，移动平均（算术平均值）滤波器或商业软件中建议的其他降噪过程（例如，高斯降噪滤波器）。还介绍了所建议的过程对表面形貌参数的计算（误差最小化）的影响（根据ISO 25178标准）。利用轮廓分析对表面形貌参数计算中的一些误差（尤其是由于噪声去除过程的错误估计所引起的误差）进行了综合研究；对于面HFME分解，定义了噪声表面。对于一些细节，在轮廓分析中主要观察到HFME。从去除的噪声表面（通过使用FBDA进行噪声提取创建）中获得最大的高频，可以获得更好的结果（建议的方法）。