Based on the local image of the visual involute gear pitch measurement method

Based on the local image of the visual involute gear pitch measurement method | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Based on the local image of the visual involute gear pitch measurement method Shan Zhi, Changli Ji, Zihao Wang, Po Du This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5022472/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper aims to rapidly measure the small and medium module spur gear pitch in industry and solve the complex problem of visual measurement. It proposes an algorithm for a single-gear pitch based on the statistical information of the tooth profile image edge’s transition zone. Firstly, the local image of the involute gear was processed; Then, based on the geometric characteristics of the involute tooth profile edge, a pixel point parameter database has been established, the transition zone's pixel information is inversely mapped to the base circle to calculate the initial phase angle of the tooth profile edge involute. Finally, the gear pitch is calculated by using the initial phase angles of two adjacent tooth profiles with the same name. In addition, through theoretical analysis and simulation calculation, the sine curve model of the initial phase Angle error of the tooth profile caused by the eccentricity of the base circle positioning is obtained. The results show that: 1.When the eccentricity e ≤ 40 µm, when the positioning error Δ ψ j ≤ 1°, it can meet the measurement requirements of 5-level precision gear; 2. Measuring the pitch of the same 5th-grade precision gear, the difference between the two pitches measured by the visual gear measuring instrument and the Coordinate Measuring Machine is 0.4 µm and 0.2 µm, respectively; 3. The maximum single-pitch deviation of the visual gear measuring instrument and the M&M3525 gear measuring center is on the same pitch. The difference between the two is 0.7 µm, and the total deviation of the pitch accumulation is 3.3 µm. It indicates that this gear pitch visual measurement method can meet the rapid measurement requirements of the 5th-grade precision spur gear pitch. Visual measurement pitch Local image feature Algorithm Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5022472","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":352844576,"identity":"6c7134b8-c1b6-45c5-9314-a02e82e8d1d8","order_by":0,"name":"Shan Zhi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4UlEQVRIiWNgGAWjYFACxoYDCRU2cvzyBxIfJFTUEKOFufHAhzNpxpIzGB4bPDhzjBgt7M0HZ7YcStwwg/GZ5MMWZsIa5PsPNhzmbTiQuEG6Oa0isYGNgb+9OwG/T2YkArXsuGO8XeZY2o3EHTIMEmfObsDvEwlGoJYzz2R3NuQAtZxhYzCQyMWvhY0f5LC2w4wbDuR/K0hsYyashYchseHgzLbDihtuJKQxEKVFQiKxARLIPQeSJRLOHOMh6Bf5/uOPP4Cjkr0h8eOPiho5/vZe/FqwuHQUjIJRMApGAeUAAEsBVysu+C16AAAAAElFTkSuQmCC","orcid":"","institution":"Liaoning Institute of Science and Technology","correspondingAuthor":true,"prefix":"","firstName":"Shan","middleName":"","lastName":"Zhi","suffix":""},{"id":352844577,"identity":"80e001b3-547a-4bb2-a1a8-d0dbadf4f215","order_by":1,"name":"Changli Ji","email":"","orcid":"","institution":"Liaoning Institute of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Changli","middleName":"","lastName":"Ji","suffix":""},{"id":352844578,"identity":"c2d22c4a-a497-401a-a85f-5fc52521dfbd","order_by":2,"name":"Zihao Wang","email":"","orcid":"","institution":"Liaoning Institute of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Zihao","middleName":"","lastName":"Wang","suffix":""},{"id":352844579,"identity":"4c78b2a5-9869-4b3e-9f1c-27e4f44ed3fb","order_by":3,"name":"Po Du","email":"","orcid":"","institution":"Shenyang University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Po","middleName":"","lastName":"Du","suffix":""}],"badges":[],"createdAt":"2024-09-03 06:44:21","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5022472/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5022472/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":65950532,"identity":"974ffe7c-a6af-487b-8d2d-7c47ed7e46bf","added_by":"auto","created_at":"2024-10-04 19:46:35","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":937613,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5022472/v1_covered_12f8046e-8865-47e0-adf5-73dd7ecfa2e8.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Based on the local image of the visual involute gear pitch measurement method","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Visual measurement, pitch, Local image feature, Algorithm","lastPublishedDoi":"10.21203/rs.3.rs-5022472/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5022472/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper aims to rapidly measure the small and medium module spur gear pitch in industry and solve the complex problem of visual measurement. It proposes an algorithm for a single-gear pitch based on the statistical information of the tooth profile image edge\u0026rsquo;s transition zone. Firstly, the local image of the involute gear was processed; Then, based on the geometric characteristics of the involute tooth profile edge, a pixel point parameter database has been established, the transition zone's pixel information is inversely mapped to the base circle to calculate the initial phase angle of the tooth profile edge involute. Finally, the gear pitch is calculated by using the initial phase angles of two adjacent tooth profiles with the same name. In addition, through theoretical analysis and simulation calculation, the sine curve model of the initial phase Angle error of the tooth profile caused by the eccentricity of the base circle positioning is obtained. The results show that: 1.When the eccentricity \u003cem\u003ee\u003c/em\u003e\u0026thinsp;\u0026le;\u0026thinsp;40 \u0026micro;m, when the positioning error Δ\u003cem\u003eψ\u003c/em\u003e\u003csub\u003e\u003cem\u003ej\u003c/em\u003e\u003c/sub\u003e\u0026thinsp;\u0026le;\u0026thinsp;1\u0026deg;, it can meet the measurement requirements of 5-level precision gear; 2. Measuring the pitch of the same 5th-grade precision gear, the difference between the two pitches measured by the visual gear measuring instrument and the Coordinate Measuring Machine is 0.4 \u0026micro;m and 0.2 \u0026micro;m, respectively; 3. The maximum single-pitch deviation of the visual gear measuring instrument and the M\u0026amp;M3525 gear measuring center is on the same pitch. The difference between the two is 0.7 \u0026micro;m, and the total deviation of the pitch accumulation is 3.3 \u0026micro;m. It indicates that this gear pitch visual measurement method can meet the rapid measurement requirements of the 5th-grade precision spur gear pitch.\u003c/p\u003e","manuscriptTitle":"Based on the local image of the visual involute gear pitch measurement method","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-10-04 18:10:38","doi":"10.21203/rs.3.rs-5022472/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"fe1d9ac2-206e-4bc1-822e-ee8b0cedd7d9","owner":[],"postedDate":"October 4th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-10-04T19:38:27+00:00","versionOfRecord":[],"versionCreatedAt":"2024-10-04 18:10:38","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-5022472","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5022472","identity":"rs-5022472","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}