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Mathematical Problems in Engineering
Volume 2018, Article ID 4078456, 11 pages
Research Article

Evaluation of the Calculated Sizes Based on the Neural Network Regression

1School of Mechatronics Engineering, Zhongyuan University of Technology, Zhengzhou 450007, China
2School of Computer Science, Zhongyuan University of Technology, Zhengzhou 450007, China

Correspondence should be addressed to Zexiang Zhao; nc.ude.tuz@oahz_gnaixez

Received 10 May 2018; Accepted 28 August 2018; Published 2 October 2018

Academic Editor: Dimitris Mourtzis

Copyright © 2018 Zexiang Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The evaluation models of circumference diameter, area diameter, and volume diameter were established based on the cylindrical coordinate measuring method, respectively. Many groups of roundness profiles of cylindrical specimens were extracted, and their pseudo and actual circumference diameters, area diameters, and volume diameters were evaluated according to the established evaluation models and the sampling data of the extracted roundness profiles. The relationship models between the pseudo calculated sizes and the actual calculated sizes were built through a series of training based on the neural network regression. The checked experiments for the training models showed that the evaluation of the calculated sizes can meet their measurement accuracy requirement through the pseudo calculated sizes, which were evaluated based on the roundness profiles by using the cylindricity or roundness measuring instrument.