Curvature Control for Plane Curves

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dc.contributor.authorKarakus, Fatma
dc.contributor.authorPripoae, Cristina-Liliana
dc.contributor.authorPripoae, Gabriel-Teodor
dc.date.accessioned2025-03-23T19:26:19Z
dc.date.available2025-03-23T19:26:19Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractWe define a family of special functions (the CSI ones), which can be used to write any parameterized plane curve with polynomial curvature explicitly. These special functions generalize the Fresnel integrals, and may have an interest in their own right. We prove that any plane curve with polynomial curvature is asymptotically a pseudo-spiral. Using the CSI functions, we can approximate, locally, any plane curve; this approach provides a useful criterion for a (local) classification of plane curves. In addition, we present a new algorithm for finding an arc-length parametrization for any curve, within a prescribed degree of approximation.
dc.identifier.doi10.3390/math13030328
dc.identifier.issn2227-7390
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85217672879
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math13030328
dc.identifier.urihttps://hdl.handle.net/11486/4683
dc.identifier.volume13
dc.identifier.wosWOS:001418657900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectcurvature of plane curves
dc.subjectcos-sine integral
dc.subjectcos-sine special function
dc.subjectcurvature control
dc.subjectpseudo-spiral
dc.subjectfinding arc-length parametrizations
dc.titleCurvature Control for Plane Curves
dc.typeArticle

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