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Family of odd point non-stationary subdivision schemes and their applications

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dc.contributor.author Ghaffar, Abdul
dc.contributor.author Ullah, Zafar
dc.contributor.author Bari, Mehwish
dc.contributor.author Nisar, Kottakkaran Sooppy
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-01-03T12:09:39Z
dc.date.available 2020-01-03T12:09:39Z
dc.date.issued 2019-05-06
dc.identifier.citation Ghaffar, Abdul...et al. (2019). "Family of odd point non-stationary subdivision schemes and their applications", Advances in Difference Equations. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/2328
dc.description.abstract The (2s-1)-point non-stationary binary subdivision schemes (SSs) for curve design are introduced for any integer s2. The Lagrange polynomials are used to construct a new family of schemes that can reproduce polynomials of degree (2s-2). The usefulness of the schemes is illustrated in the examples. Moreover, the new schemes are the non-stationary counterparts of the stationary schemes of (Daniel and Shunmugaraj in 3rd International Conference on Geometric Modeling and Imaging, pp.3-8, 2008; Hassan and Dodgson in Curve and Surface Fitting: Sant-Malo 2002, pp.199-208, 2003; Hormann and Sabin in Comput. Aided Geom. Des. 25:41-52, 2008; Mustafa et al. in Lobachevskii J. Math. 30(2):138-145, 2009; Siddiqi and Ahmad in Appl. Math. Lett. 20:707-711, 2007; Siddiqi and Rehan in Appl. Math. Comput. 216:970-982, 2010; Siddiqi and Rehan in Eur. J. Sci. Res. 32(4):553-561, 2009). Furthermore, it is concluded that the basic shapes in terms of limiting curves produced by the proposed schemes with fewer initial control points have less tendency to depart from their tangent as well as their osculating plane compared to the limiting curves produced by existing non-stationary subdivision schemes. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Open tr_TR
dc.relation.isversionof 10.1186/s13662-019-2105-5 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Lagrange Polynomials tr_TR
dc.subject Non-Stationary tr_TR
dc.subject Binary Approximating Schemes tr_TR
dc.subject Convergence tr_TR
dc.subject Shape Preservation tr_TR
dc.subject Curvature and Torsion tr_TR
dc.title Family of odd point non-stationary subdivision schemes and their applications tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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