A Novel Numerical Method for Computing Subdivision Depth of Quaternary Schemes

被引：4

作者：

Shahzad, Aamir ^{[1
]}

Khan, Faheem ^{[1
]}

Ghaffar, Abdul ^{[2
]}

Yao, Shao-Wen ^{[3
]}

Inc, Mustafa ^{[4
,5
,6
]}

Ali, Shafqat ^{[7
]}

机构：

[1] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan

[2] Ghazi Univ DG Khan, Dept Math, D G Khan 32200, Pakistan

[3] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

[4] Biruni Univ, Dept Comp Engn, TR-34096 Istanbul, Turkey

[5] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[7] Islamia Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan

来源：

MATHEMATICS | 2021年 / 9卷 / 08期

基金：

中国国家自然科学基金;

关键词：

quaternary subdivision scheme; subdivision models; inequalities; convolution; error bound; subdivision depth; curves and surfaces; ARY SUBDIVISION; CURVE;

D O I：

10.3390/math9080809

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, an advanced computational technique has been presented to compute the error bounds and subdivision depth of quaternary subdivision schemes. First, the estimation is computed of the error bound between quaternary subdivision limit curves/surfaces and their polygons after kth-level subdivision by using l0 order of convolution. Secondly, by using the error bounds, the subdivision depth of the quaternary schemes has been computed. Moreover, this technique needs fewer iterations (subdivision depth) to get the optimal error bounds of quaternary subdivision schemes as compared to the existing techniques.

引用

页数：20

共 20 条

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