Spatial modeling for periodic surfaces in manufacturing

Spatial modeling;Variogram;Kriging;Interpolation;Periodic surface;Manufacturing;Ultrasonic metal welding

Yang, Yuhang ; Shao ; Chenhui

关键词: Spatial modeling;    Variogram;    Kriging;    Interpolation;    Periodic surface;    Manufacturing;    Ultrasonic metal welding;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/99197/YANG-THESIS-2017.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

High-resolution spatial data is essential for characterizing and monitoring surface quality in manufacturing. However, the measurement of high-resolution spatial data is generally expensive and time-consuming. Interpolation based on spatial models is a typical approach to cost-effectively acquire high-resolution data. However, conventional modeling methods fail to adequately model the spatial correlation induced by periodicity, and thus their interpolation precision is limited. In this paper, we propose a Bessel-based periodic variogram model, which enables kriging, a geostatistical interpolation method, to achieve accurate interpolation performance for common periodic surfaces. In addition, parameters of the proposed model provide valuable insights for the characterization and monitoring of spatial processes in manufacturing. Both simulated and real-world case studies are presented to demonstrate the effectiveness of the proposed method.