Pattern Characterization Using Topological Data Analysis: Application to Piezo Vibration Striking Treatment
Pattern Characterization Using Topological Data Analysis: Application to Piezo Vibration Striking Treatment
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DOI：
10.1016/j.precisioneng.2023.05.005
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发表时间：
2022-10
期刊：
影响因子：
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通讯作者：
Max M. Chumley;Melih C. Yesilli;Jisheng Chen;Firas A. Khasawneh;Yang Guo
中科院分区：
文献类型：
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作者：
Max M. Chumley;Melih C. Yesilli;Jisheng Chen;Firas A. Khasawneh;Yang Guo
量化视觉或触觉纹理中的图案提供了关于产生这些图案的过程或现象的重要信息。在制造中，这些模式可以有意地作为设计特性引入，或者它们可以是特定过程的副产品。由于表面纹理对工件的机械性能和寿命有重大影响，因此开发用于量化表面图案的工具，并在适用时将其与标称对应物进行比较，这一点很重要。虽然现有的工具可能能够指示模式的存在，但它们通常不提供关于模式结构的更多信息，或者它与名义模式的偏差有多大。此外，先前的工作没有提供自动或算法方法来量化其他模式特征，如深度一致性，以及不同水平集模式主题的变化。本文利用拓扑数据分析（TDA）的持久同源性来获得量化图案中图案的深度和圆度的噪声鲁棒性分数。具体来说，子层次持久性用于导出分数，量化压痕深度在任何水平集的压痕深度的一致性在压电振动打击处理（PVST）表面。此外，我们将子层次持久性与距离变换相结合，量化了缩进半径的一致性，并将其与标称缩进半径进行了比较。虽然我们的PVST实验中的工具具有半球形轮廓，但我们对任意形状的工具/图案的方法进行了推广，从而使我们的方法适用于其他生成图案的制造工艺。
Quantifying patterns in visual or tactile textures provides important information about the process or phenomena that generated these patterns. In manufacturing, these patterns can be intentionally introduced as a design feature, or they can be a byproduct of a specific process. Since surface texture has significant impact on the mechanical properties and the longevity of the workpiece, it is important to develop tools for quantifying surface patterns and, when applicable, comparing them to their nominal counterparts. While existing tools may be able to indicate the existence of a pattern, they typically do not provide more information about the pattern structure, or how much it deviates from a nominal pattern. Further, prior works do not provide automatic or algorithmic approaches for quantifying other pattern characteristics such as depths’ consistency, and variations in the pattern motifs at different level sets. This paper leverages persistent homology from Topological Data Analysis (TDA) to derive noise-robust scores for quantifying motifs’ depth and roundness in a pattern. Specifically, sublevel persistence is used to derive scores that quantify the consistency of indentation depths at any level set in Piezo Vibration Striking Treatment (PVST) surfaces. Moreover, we combine sublevel persistence with the distance transform to quantify the consistency of the indentation radii, and to compare them with the nominal ones. Although the tool in our PVST experiments had a semi-spherical profile, we present a generalization of our approach to tools/motifs of arbitrary shapes thus making our method applicable to other pattern-generating manufacturing processes.