Spatial modeling for periodic surfaces in manufacturing

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.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2018

Author dc:creator

• Yang, Yuhang

Contributors dc:contributor

• Shao, Chenhui

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

Statement dc:rights

• Copyright 2017 Yuhang Yang

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/99197

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/99197