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

被引：12

作者：

Ghaffar, Abdul ^{[1
]}

Iqbal, Mudassar ^{[1
]}

Bari, Mehwish ^{[2
]}

Hussain, Sardar Muhammad ^{[1
]}

Manzoor, Raheela ^{[3
]}

Nisar, Kottakkaran Sooppy ^{[4
]}

Baleanu, Dumitru ^{[5
,6
]}

机构：

[1] BUITEMS, Dept Math Sci, Quetta 87300, Pakistan

[2] NCBA&E, Dept Math, Bahawalpur 63100, Pakistan

[3] SBK Women Univ, Dept Math, Quetta 87300, Pakistan

[4] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

[5] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey

[6] Inst Space Sci, Magurele 76900, Romania

来源：

MATHEMATICS | 2019年 / 7卷 / 08期

关键词：

limit stencil; tensor product; subdivision scheme; continuity; Laurent polynomial; SUBDIVISION SCHEME; SURFACES;

D O I：

10.3390/math7080675

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页数：33

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