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

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• 作者：Shahid S. Siddiqi ; ^a ; ^{shahidsiddiqiprof@yahoo.co.uk" class="auth_mail" title="E-mail the corresponding author} ; Wardat us Salam^b ; ^{wardahtussalam@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Kashif Rehan^c ; ^{kkashif_99@yahoo.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Non-stationary subdivision scheme ; Binary schemes ; Approximating ; Hyperbolic B-spline
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：20 April 2016
• 年：2016
• 卷：280
• 期：Complete
• 页码：30-38
• 全文大小：501 K

文摘

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.