Construction and Application of Nine-Tic B-Spline Tensor Product SS

Mathematics

Abdul Ghaffar¹  Mudassar Iqbal¹  Raheela Manzoor¹  Dumitru Baleanu²  Mehwish Bari³  Kottakkaran Sooppy Nisar⁴  Sardar Muhammad Hussain⁵ 

[1] Department of Mathematical Sciences, Balochistan University of Information Technology, Engineering and Management Sciences (BUITEMS), Quetta 87300, Pakistan;Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia;;Department of Mathematics, NCBA&Department of Mathematics, SBK Women University, Quetta 87300, Pakistan;E, Bahawalpur 63100, Pakistan;

关键词: limit stencil;    tensor product;    subdivision scheme;    continuity;    Laurent polynomial;   

DOI  :  10.3390/math7080675

来源: DOAJ

【 摘 要 】

In this paper, we propose and analyze a tensor product of nine-tic B-spline subdivision scheme (SS) to reduce the execution time needed to compute the subdivision process of quad meshes. We discuss some essential features of the proposed SS such as continuity, polynomial generation, joint spectral radius, holder regularity and limit stencil. Some results of the SS using surface modeling with the help of computer programming are shown.

【 授权许可】

Unknown