Local Tool Path Smoothing Based on Symmetrical NURBS Transition Curve with Look Ahead Optimal Method: Experimental and Analytical Study

Local Tool Path Smoothing Based on Symmetrical NURBS Transition Curve with Look Ahead Optimal Method: Experimental and Analytical Study | 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 Local Tool Path Smoothing Based on Symmetrical NURBS Transition Curve with Look Ahead Optimal Method: Experimental and Analytical Study Chunlin Lei, Nukman Yusoff, Hwa Jen Yap, Ali H. Abdelrazek, Mingbing Luo This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2219822/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 13 Mar, 2023 Read the published version in The International Journal of Advanced Manufacturing Technology → Version 1 posted 4 You are reading this latest preprint version Abstract Linear tool path with the inherent shortcoming of tangential and curvature discontinuities which lead to poor machining efficiency and surface finish. A lot of local corner smoothing methods which inset a tiny spline curve at the corners have been proposed in literature. However, there exists potential overlap of the two adjacent spline curves while smoothing, and still no optimal solution for eliminating the overlaps. To optimally eliminate the overlaps and smooth the transition curve curvature in real-time, a symmetrical Non-uniform rational B-spline (NURBS) curve transition based on look ahead optimal method is proposed in this paper, by scanning a set of unconstrained pre-cornering transition curve information, analysing the overlap type and backward determining the optimal transition length, thus fully use the linear segment length of each corner, Thus fully increasing the feedrate at the corners. continuity, analytical expression of the curvature extreme, approximation error constraint and real-time performance are considered simultaneously in this paper. Simulation and real machining experiments are made to compare with the existing symmetrical rounding algorithms, the results show that the proposed method has a significant curvature decrease of 17.64% and 4.44% improvement of efficiency, and the curvature distribution of the adjacent curves are balanced, thus improved the machining velocity smoothness. In addition, the real machining experiment results validate the proposed method can work well in 125us real-time control period CNC system. Symmetrical NURBS Look ahead Optimal transition length Balanced Real-time Full Text Cite Share Download PDF Status: Published Journal Publication published 13 Mar, 2023 Read the published version in The International Journal of Advanced Manufacturing Technology → Version 1 posted Reviewers agreed at journal 08 Nov, 2022 Reviewers invited by journal 07 Nov, 2022 Editor assigned by journal 07 Nov, 2022 First submitted to journal 06 Nov, 2022 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. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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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-2219822","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":150237390,"identity":"c3725408-3090-40bb-8d6c-13bef3845759","order_by":0,"name":"Chunlin Lei","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4UlEQVRIiWNgGAWjYBACAyBmBmIZNhD9oALEZW4gSgsPWEvCGRCXkUgtYDqxDSRGQIu59AHGz4Vtd3j4pBuYDRLn1UbztwO1/KjYhlOLZV8Cs/TMtmc8bDIHmBMStx3PnXGYsYGx58xt3A47w8DGzNt2mIdNIoH5QOK2Y7kNQC3MjG1Ea5lzLHc+SVoSEhtqcjcQ0mLZw9gszXMOpCWx2SDh2IHcjUAtB/H5xZyH+eBnnrLDcvIzkg9LfKipy513/vDBBz8qcGtBigUw4zCYeQCPegxQR4riUTAKRsEoGCEAAJf8UY2uZWVpAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0002-4576-3138","institution":"University of Malaya Faculty of Engineering: University of Malaya Faculty of Engineering","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Chunlin","middleName":"","lastName":"Lei","suffix":""},{"id":150237391,"identity":"15b8317e-cfcc-4d66-9fe0-4890fde10046","order_by":1,"name":"Nukman Yusoff","email":"","orcid":"https://orcid.org/0000-0002-7389-2164","institution":"","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Nukman","middleName":"","lastName":"Yusoff","suffix":""},{"id":150237392,"identity":"32d18d3a-bfac-4c3d-b922-1589a4039750","order_by":2,"name":"Hwa Jen Yap","email":"","orcid":"","institution":"","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Hwa","middleName":"Jen","lastName":"Yap","suffix":""},{"id":150237393,"identity":"2fe4c5ff-04fd-4158-8aa6-f993f09a4f8e","order_by":3,"name":"Ali H. 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A lot of local corner smoothing methods which inset a tiny spline curve at the corners have been proposed in literature. However, there exists potential overlap of the two adjacent spline curves while smoothing, and still no optimal solution for eliminating the overlaps. To optimally eliminate the overlaps and smooth the transition curve curvature in real-time, a symmetrical Non-uniform rational B-spline (NURBS) curve transition based on look ahead optimal method is proposed in this paper, by scanning a set of unconstrained pre-cornering transition curve information, analysing the overlap type and backward determining the optimal transition length, thus fully use the linear segment length of each corner, Thus fully increasing the feedrate at the corners. \u003cspan class=\"InlineEquation\"\u003e\u003c/span\u003e continuity, analytical expression of the curvature extreme, approximation error constraint and real-time performance are considered simultaneously in this paper. 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