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The Calculation of Roughness Uncertainty by Fitting B-Spline Filter Assessment Middle Lines

机译：拟合B样条滤波评估中线计算粗糙度不确定性

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摘要

The roughness and uncertainty are important parameters of surface morphology. The least square middle line method is often used to estimate the roughness and its uncertainty. However, the roughness and its uncertainty obtained by the least square middle line method are inaccurate. This paper proposes a method to calculate exactly the roughness and its uncertainty by piecewise fitting the smooth B-spline filter assessment middle lines. A B-spline smoothing filter is selected to determine the assessment middle line of roughness. The B-spline filter can not only give the accurate roughness, but also obtain the smooth assessment middle line. The model of roughness uncertainty is proposed by piecewise fitting B-spline filter middle lines as the quadratic curves. The S-shaped test part is used to verify the model of roughness uncertainty.
机译：粗糙度和不确定性是表面形态的重要参数。最小的方形线路方法通常用于估计粗糙度及其不确定性。然而，通过最小二乘中线方法获得的粗糙度及其不确定性是不准确的。本文提出了一种通过分段拟合平滑B样条滤光片评估中线来计算粗糙度及其不确定性的方法。选择B样条平滑过滤器以确定粗糙度的评估中间线。 B样条滤波器不仅可以提供精确的粗糙度，还可以获得光滑的评估中线。粗糙度不确定性模型由分段配合B样条滤光片中间线作为二次曲线提出。 S形测试部分用于验证粗糙度不确定性的模型。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第4期|6913215.1-6913215.10|共10页
  • 作者

    He Gaiyun; Liu Chenhui; Sang Yicun; Sun Xiaochen;

  • 作者单位

    Tianjin Univ Minist Educ Key Lab Mech Theory & Equipment Design Tianjin 300350 Peoples R China;

    Tianjin Univ Minist Educ Key Lab Mech Theory & Equipment Design Tianjin 300350 Peoples R China|Tianjin Univ Sch Math Tianjin 300350 Peoples R China;

    Tianjin Univ Minist Educ Key Lab Mech Theory & Equipment Design Tianjin 300350 Peoples R China;

    Tianjin Univ Sch Math Tianjin 300350 Peoples R China;

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