A novel radial basis function description of a smooth implicit surface for musculoskeletal modelling

A novel radial basis function description of a smooth implicit surface for musculoskeletal modelling | 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 A novel radial basis function description of a smooth implicit surface for musculoskeletal modelling Martin Cervenka, Josef Kohout, Bogdan Lipus This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4186544/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 As musculoskeletal illnesses continue to increase, useful computerised muscle modelling is crucial. This paper addresses this concern by proposing a mathematical model for a dynamic 3D geometrical surface representation of muscles using a Radial Basis Function (RBF) approximation technique. The objective is to obtain a smoother surface while minimising data use, contrasting it from classical polygonal (e.g., triangular) surface mesh models or volumetric (e.g., tetrahedral) mesh models. The novel method is tested on multiple data sets, and the experiments show good results according to the introduced metrics. Radial basis function muscle model gradient descent curvature mean curvature Gaussian RBF 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-4186544","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":285346670,"identity":"efc5bbe7-595f-4e55-b475-0aca448924c6","order_by":0,"name":"Martin Cervenka","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0ElEQVRIiWNgGAWjYDADfh7GBhK1SPaQrMXgDLEq+dt7n0l8zLHLNz5zuE2C4Y9dYgP78Qd4tUicOW4mOXNbsuW2s41ALTzJiQ08CQn43SORxmzMu43ZwOw8Y7MBg8SBxAYJhgP4tcg/Yzb+u63ewLgfpMUApIVAOBhIsDE+Ztx22MCAt7HxAUMCSAszXh1Av6QxPuzddtxA4szBxgcJB5KN23jS8Gvhbz/GcODntmoD/p70Bwc+/LGT7ScUYqggAYjZSFA/CkbBKBgFowAHAAB+zkC64VnB9gAAAABJRU5ErkJggg==","orcid":"","institution":"Department of Computer Science and Engineering, Faculty of Applied Sciences, University of West Bohemia, Technicka 8, 301 00 Pilsen, Czech Republic","correspondingAuthor":true,"prefix":"","firstName":"Martin","middleName":"","lastName":"Cervenka","suffix":""},{"id":285346671,"identity":"6e5719ba-602b-44a9-98d7-b6eccea8b91c","order_by":1,"name":"Josef Kohout","email":"","orcid":"","institution":"Department of Computer Science and Engineering, Faculty of Applied Sciences, University of West Bohemia, Technicka 8, 301 00 Pilsen, Czech Republic","correspondingAuthor":false,"prefix":"","firstName":"Josef","middleName":"","lastName":"Kohout","suffix":""},{"id":285346672,"identity":"4f0fcf29-bc1e-4b03-bb57-c70484e74858","order_by":2,"name":"Bogdan Lipus","email":"","orcid":"","institution":"Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroska Cesta 46, SI-2000 Maribor, Slovenia","correspondingAuthor":false,"prefix":"","firstName":"Bogdan","middleName":"","lastName":"Lipus","suffix":""}],"badges":[],"createdAt":"2024-03-29 08:12:04","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4186544/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4186544/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":55805766,"identity":"dcdc7944-41d8-4d16-874b-0777baae4a17","added_by":"auto","created_at":"2024-05-03 14:46:21","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1086770,"visible":true,"origin":"","legend":"","description":"","filename":"RBFmuscles.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4186544/v1_covered_a8be900b-e157-4973-a573-46a600735700.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"A novel radial basis function description of a smooth implicit surface for musculoskeletal modelling","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":"Radial basis function, muscle model, gradient descent, curvature, mean curvature, Gaussian RBF","lastPublishedDoi":"10.21203/rs.3.rs-4186544/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4186544/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"As musculoskeletal illnesses continue to increase, useful computerised muscle modelling is crucial. 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