NDLI: Sampling strategy and error estimation for evaluation of quadratic form error using Cartesian coordinate data

Content Provider	IET Digital Library
Author	Fei, Liu Dan, Liu Lin, Liang Guanghua, Xu Qing, Zhang Zixia, Meng
Abstract	This study investigates the relationship between sampling strategy and error estimation, which is used to improve the measurement and evaluation of quadratic form error in Cartesian coordinates. This study is focused on the sampling strategy, the sampling error estimation, and the error evaluation model, and it is particularly useful when a special device measures the form characteristics of a workpiece. To obtain a reasonable sample size and an accurate error estimate for the geometric features of a quadratic form, Boltzmann curve is used to predict the reasonable sample size by fitting different evaluation results of form error. As a result, compared with earlier methods, the curve helps us to obtain a better accuracy, while the process only distinguishes a part of the form features on one or several workpieces from a mass production. In addition, a new error model based on the quadratic form is established by least squares method, which can be applied to measure and evaluate the roundness error and sphericity error. Two experiments are performed to verify the effectiveness of the new error model, and the results indicate that a systematic sampling strategy and error estimation can determine the reasonable sample size while maintaining high accuracy.
Starting Page	839
Ending Page	846
Page Count	8
ISSN	17518822
Volume Number	11
e-ISSN	17518830
Issue Number	Issue 7, Oct (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-smt/11/7
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-smt.2016.0470
Journal	IET Science, Measurement & Technology
Publisher Date	2017-05-17
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Boltzmann Curve Cartesian Coordinate Data Coordinate Measuring Machines Estimation Theory Interpolation And Function Approximation Least Square Method Least Squares Approximation Measurement Error Numerical Analysis Numerical Approximation And Analysis Probability Theory Quadratic Form Error Evaluation Model Roundness Error Evaluation Sampling Error Estimation Strategy Sampling Method Spatial Variables Measurement Sphericity Error Evaluation Statistics Stochastic Linearised SCUC
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Electrical and Electronic Engineering

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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