Gear Integrated Error Determination Using the Gaussian Template Convolution-Facet Method

A gear integrated error, a combination of individual and composite errors, carries richer information and has long been a key target of classic gear error measurement techniques. However, in the age of intelligent manufacturing, the classic methods for gear integrated error measurement are no longer...

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Main Authors: Yiming Fang, Zhaoyao Shi, Yanqiang Sun, Pan Zhang
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/14/3/1004
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author Yiming Fang
Zhaoyao Shi
Yanqiang Sun
Pan Zhang
author_facet Yiming Fang
Zhaoyao Shi
Yanqiang Sun
Pan Zhang
author_sort Yiming Fang
collection DOAJ
description A gear integrated error, a combination of individual and composite errors, carries richer information and has long been a key target of classic gear error measurement techniques. However, in the age of intelligent manufacturing, the classic methods for gear integrated error measurement are no longer able to meet the emerging requirements of large-scale gears and real-time online measurement. To address this gap, a novel approach to obtaining the gear integrated error based on GTC−Facet (Gaussian template convolution-Facet) is proposed. This method accurately pinpoints the sub-pixel contour of gears in images, enabling a quick derivation of the gear integrated error curve. From this curve, other individual and composite errors can be analyzed. The gear error information obtained through our method has higher measurement accuracy, achieving a positioning accuracy of 3.6 μm for the gear profile. Moreover, during the measurement process, the measured gear remains unclamped, and the entire measurement process can be completed within 0.35 s, which is much faster than classic methods. Our method meets the demands of online measurements and provides a new avenue for gear error measurement.
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spelling doaj.art-730cbbcbd18242cb8175bcbe773a8e3c2024-02-09T15:07:17ZengMDPI AGApplied Sciences2076-34172024-01-01143100410.3390/app14031004Gear Integrated Error Determination Using the Gaussian Template Convolution-Facet MethodYiming Fang0Zhaoyao Shi1Yanqiang Sun2Pan Zhang3Beijing Engineering Research Center of Precision Measurement Technology and Instruments, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, ChinaBeijing Engineering Research Center of Precision Measurement Technology and Instruments, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, ChinaSchool of Construction Machinery, Shandong Jiaotong University, Jinan 250357, ChinaBeijing Engineering Research Center of Precision Measurement Technology and Instruments, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, ChinaA gear integrated error, a combination of individual and composite errors, carries richer information and has long been a key target of classic gear error measurement techniques. However, in the age of intelligent manufacturing, the classic methods for gear integrated error measurement are no longer able to meet the emerging requirements of large-scale gears and real-time online measurement. To address this gap, a novel approach to obtaining the gear integrated error based on GTC−Facet (Gaussian template convolution-Facet) is proposed. This method accurately pinpoints the sub-pixel contour of gears in images, enabling a quick derivation of the gear integrated error curve. From this curve, other individual and composite errors can be analyzed. The gear error information obtained through our method has higher measurement accuracy, achieving a positioning accuracy of 3.6 μm for the gear profile. Moreover, during the measurement process, the measured gear remains unclamped, and the entire measurement process can be completed within 0.35 s, which is much faster than classic methods. Our method meets the demands of online measurements and provides a new avenue for gear error measurement.https://www.mdpi.com/2076-3417/14/3/1004Canny operatorgear integrated errorGaussian convolutionmachine visionsub-pixel
spellingShingle Yiming Fang
Zhaoyao Shi
Yanqiang Sun
Pan Zhang
Gear Integrated Error Determination Using the Gaussian Template Convolution-Facet Method
Applied Sciences
Canny operator
gear integrated error
Gaussian convolution
machine vision
sub-pixel
title Gear Integrated Error Determination Using the Gaussian Template Convolution-Facet Method
title_full Gear Integrated Error Determination Using the Gaussian Template Convolution-Facet Method
title_fullStr Gear Integrated Error Determination Using the Gaussian Template Convolution-Facet Method
title_full_unstemmed Gear Integrated Error Determination Using the Gaussian Template Convolution-Facet Method
title_short Gear Integrated Error Determination Using the Gaussian Template Convolution-Facet Method
title_sort gear integrated error determination using the gaussian template convolution facet method
topic Canny operator
gear integrated error
Gaussian convolution
machine vision
sub-pixel
url https://www.mdpi.com/2076-3417/14/3/1004
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AT panzhang gearintegratederrordeterminationusingthegaussiantemplateconvolutionfacetmethod