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

Abdul Ghaffar, Mudassar Iqbal, Mehwish Bari, Sardar Muhammad Hussain, Raheela Manzoor, Kottakkaran Sooppy Nisar and Dumitru Baleanu
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Abdul Ghaffar: Department of Mathematical Sciences, Balochistan University of Information Technology, Engineering and Management Sciences (BUITEMS), Quetta 87300, Pakistan
Mudassar Iqbal: Department of Mathematical Sciences, Balochistan University of Information Technology, Engineering and Management Sciences (BUITEMS), Quetta 87300, Pakistan
Mehwish Bari: Department of Mathematics, NCBA&E, Bahawalpur 63100, Pakistan
Sardar Muhammad Hussain: Department of Mathematical Sciences, Balochistan University of Information Technology, Engineering and Management Sciences (BUITEMS), Quetta 87300, Pakistan
Raheela Manzoor: Department of Mathematics, SBK Women University, Quetta 87300, Pakistan
Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Dumitru Baleanu: Department of Mathematics, Cankaya University, Ankara 06530, Turkey

Mathematics, 2019, vol. 7, issue 8, 1-33

Abstract: 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.

Keywords: limit stencil; tensor product; subdivision scheme; continuity; Laurent polynomial (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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