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ON THE GEOMETRY OF RATIONAL BEZIER CURVES

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dc.creator Tukel, Gozde Ozkan
dc.creator YILMAZ CEYLAN, AYŞE
dc.creator TURHAN, TUNAHAN
dc.date 2021-03-01T00:00:00Z
dc.date.accessioned 2021-12-03T11:21:01Z
dc.date.available 2021-12-03T11:21:01Z
dc.identifier 46f24257-e5a3-4f29-aa57-34f76f92609f
dc.identifier 10.5831/hmj.2021.43.1.88
dc.identifier https://avesis.sdu.edu.tr/publication/details/46f24257-e5a3-4f29-aa57-34f76f92609f/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/91251
dc.description The purpose of this paper is to assign a movable frame to an arbitrary point of a rational Bezier curve on the 2-sphere S-2 in Euclidean 3-space R-3 to provide a better understanding of the geometry of the curve. Especially, we obtain the formula of geodesic curvature for a quadratic rational Bezier curve that allows a curve to be characterized on the surface. Moreover, we give some important results and relations for the Darboux frame and geodesic curvature of a such curve. Then, in specific case, given characterizations for the quadratic rational Bezier curve are illustrated on a unit 2-sphere.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title ON THE GEOMETRY OF RATIONAL BEZIER CURVES
dc.type info:eu-repo/semantics/article


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