Construction of binary four and five point non-stationary subdivision schemes from hyperbolic B-splines

Shahid S. Siddiqi, Wardat us Salam and Kashif Rehan

Applied Mathematics and Computation, 2016, vol. 280, issue C, 30-38

Abstract: Binary non-stationary four and five point subdivision schemes have been developed using hyperbolic B-spline basis functions. The proposed subdivision schemes generate pleasing curves near the control polygon as compared to the existing non-stationary subdivision schemes developed using trigonometric B-splines basis functions. The main speciality of the hyperbolic subdivision schemes is that they can regenerate hyperbolas and parabolas quite efficiently.

Keywords: Non-stationary subdivision scheme; Binary schemes; Approximating; Hyperbolic B-spline (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:280:y:2016:i:c:p:30-38

DOI: 10.1016/j.amc.2016.01.020

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