{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,11]],"date-time":"2026-07-11T03:43:37Z","timestamp":1783741417514,"version":"3.55.0"},"reference-count":26,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2024,4,3]],"date-time":"2024-04-03T00:00:00Z","timestamp":1712102400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52227809"],"award-info":[{"award-number":["52227809"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51775172"],"award-info":[{"award-number":["51775172"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The verification of the correctness, adaptability, and robustness of software systems in modern precision measurement instruments is of great significance. Due to the difficulty in processing and calibrating high-precision fine-pitch gear artefacts, the function verification and accuracy calibration of vision measurement instruments for the fine-pitch gear have become a challenge. The calibration method of the gear vision measurement system based on the virtual gear artefact involves two steps, namely obtaining and applying the virtual artefact. The obtained virtual gear artefact has the same geometric features, error features, and image edge features as the real artefact. The calibration method based on the virtual artefact can complete the correctness verification of the gear vision measurement system, and is superior to the traditional methods in adaptability verification, robustness verification, and fault analysis. In a test, the characteristic error of the virtual gear artefact could be reproduced with the original shape in the evaluation results of the computer vision gear measurement (CVGM) system, while the reproduction error did not exceed 1.9 \u03bcm. This can meet the requirements of the verification of the gear vision measurement software. The application of the virtual gear artefact can significantly improve the accuracy and robustness of the computer vision measuring instrument of the fine-pitch gear.<\/jats:p>","DOI":"10.3390\/s24072289","type":"journal-article","created":{"date-parts":[[2024,4,3]],"date-time":"2024-04-03T11:01:41Z","timestamp":1712142101000},"page":"2289","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Calibration Method Based on Virtual Gear Artefact for Computer Vision Measuring Instrument of Fine Pitch Gear"],"prefix":"10.3390","volume":"24","author":[{"given":"Xiaoyi","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mechatornics Engineering, Henan University of Science and Technology, Luoyang 471003, China"},{"name":"Henan Key Laboratory of Mechanical Design and Transmission System, Henan University of Science and Technology, Luoyang 471003, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tianyang","family":"Yao","sequence":"additional","affiliation":[{"name":"School of Mechatornics Engineering, Henan University of Science and Technology, Luoyang 471003, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhaoyao","family":"Shi","sequence":"additional","affiliation":[{"name":"College of Mechanical & Energy Engineering, Beijing University of Technology, Beijing 100124, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,4,3]]},"reference":[{"key":"ref_1","first-page":"913","article-title":"Development of measuring machine based on single-flank testing for fint-pitch gears","volume":"32","author":"Shi","year":"2011","journal-title":"Chin. J. Sci. Instrum."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1016\/j.cirp.2023.05.008","article-title":"Gear metrology\u2014An update","volume":"72","author":"Goch","year":"2023","journal-title":"CIRP Ann. Manuf. Technol."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1016\/j.proeng.2013.08.257","article-title":"Verification Methods for Micro Gears. Analysis of Double Flank Roll Testing Applied to Micro Gears","volume":"63","author":"Cacho","year":"2013","journal-title":"Procedia Eng."},{"key":"ref_4","first-page":"32","article-title":"Review and Prospect of Precision Inspection","volume":"03","author":"Ye","year":"2000","journal-title":"China Mech. Eng."},{"key":"ref_5","first-page":"48","article-title":"Research and Progress in Error Theory","volume":"8","author":"Fei","year":"1998","journal-title":"Metrol. Sci. Technol."},{"key":"ref_6","first-page":"20","article-title":"Research Progress and Future of Several Issues in Precision Theory","volume":"03","author":"Fei","year":"2000","journal-title":"China Mech. Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"100","DOI":"10.37188\/OPE.20212901.0100","article-title":"Vision measurement of pitch and profile deviations for small modulus gears with unknown parameters","volume":"29","author":"Tang","year":"2021","journal-title":"Opt. Precis. Eng."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1669","DOI":"10.1016\/j.measurement.2011.06.023","article-title":"Computer vision algorithms for measurement and inspection of spur gears","volume":"44","author":"Gadelmawla","year":"2011","journal-title":"Measurement"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/s00170-019-04426-2","article-title":"A machine vision algorithm for quality control inspection of gears","volume":"106","author":"Moru","year":"2019","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"ref_10","first-page":"225","article-title":"Visual measurement method of pitch machine based on gear local image","volume":"39","author":"Zhi","year":"2018","journal-title":"Chin. J. Sci. Instrum."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"51016","DOI":"10.1115\/1.4000104","article-title":"Development of a Novel Artifact as a Reference for Gear Pitch Measuring Instruments","volume":"131","author":"Kondo","year":"2009","journal-title":"J. Manuf. Sci. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1016\/j.measurement.2006.04.005","article-title":"Software validation in metrology A case study for a GUM-supporting software","volume":"39","author":"Greif","year":"2006","journal-title":"Measurement"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2869","DOI":"10.37188\/OPE.20223000.0392","article-title":"Measurement comparison for class-1 gear involute artifact in China","volume":"30","author":"Ling","year":"2022","journal-title":"Opt. Precis. Eng."},{"key":"ref_14","first-page":"92","article-title":"New ideas for precision measurement technology and methods for batch involute microgears","volume":"08","author":"Tu","year":"2008","journal-title":"Tool Eng."},{"key":"ref_15","unstructured":"Feng, G., Xie, H., Ye, Y., Fu, Y., Tu, X., Ding, H., Chen, Z., and Huang, W. (2009, January 8\u201310). A New Efficient Technology for Measuring of the Fine-pitch Gear Accuracy in Batch Production. Proceedings of the 11th Annual Conference of the China Association for Science and Technology on Independent Innovation and Sustainable Growth, Chongqing, China."},{"key":"ref_16","first-page":"1385","article-title":"Research of spur gear detection method based on minimum convex hull","volume":"31","author":"Shao","year":"2017","journal-title":"J. Electron. Meas. Instrum."},{"key":"ref_17","first-page":"28","article-title":"Research of the Visual Measurement Method of Gear Tooth Profile Total Deviation","volume":"41","author":"Wang","year":"2017","journal-title":"J. Mech. Transm."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1481","DOI":"10.1007\/s00542-008-0601-8","article-title":"Validation of micromechanical systems","volume":"14","author":"Albers","year":"2008","journal-title":"Microsyst. Technol."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2275","DOI":"10.1109\/TCSVT.2022.3221611","article-title":"Embedding Global Contrastive and Local Location in Self-Supervised Learning","volume":"33","author":"Zhao","year":"2023","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TGRS.2024.3478817","article-title":"GACNet: Generate Adversarial-Driven Cross-Aware Network for Hyperspectral Wheat Variety Identification","volume":"62","author":"Zhang","year":"2024","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"166","DOI":"10.3901\/JME.2017.19.166","article-title":"Different Point Contact Error and Correction Method in Gear Integrated Error Measurement","volume":"53","author":"Wang","year":"2017","journal-title":"J. Mech. Eng."},{"key":"ref_22","first-page":"11","article-title":"Research of Tooth Profile Error Evaluation Method based on Cartesian Coordinate Measurement Method","volume":"40","author":"Zhang","year":"2016","journal-title":"J. Mech. Transm."},{"key":"ref_23","first-page":"2891","article-title":"Geometric Error Modeling and Analysis for CNC Gear Hobbing Machine","volume":"25","author":"Han","year":"2014","journal-title":"China Mech. Eng."},{"key":"ref_24","unstructured":"(2013). Cylindrical Gears\u2014ISO System of Flank Tolerance Classification\u2014Part 1: Definitions and Allowable Values of Deviations Relevant to Flanks of Gear Teeth (Standard No. ISO 1328-1:2013)."},{"key":"ref_25","unstructured":"Wang, W. (2009). The Research on the Edge Recognition Methods and Techniques for Potential Field. [Ph.D. Thesis, Chang\u2019an University]."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1515\/msr-2018-0010","article-title":"High Precision Edge Detection Algorithm for Mechanical Parts","volume":"2","author":"Duan","year":"2018","journal-title":"Meas. Sci. Rev."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/7\/2289\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:23:09Z","timestamp":1760106189000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/7\/2289"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,3]]},"references-count":26,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2024,4]]}},"alternative-id":["s24072289"],"URL":"https:\/\/doi.org\/10.3390\/s24072289","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,3]]}}}