The (2n+1)2-Point Scheme Based on Bivariate Quartic Polynomial

We are going to implement least squares approach to fit the bivariate quartic polynomial to (2n+1)2- perceptions/data, where n>2. By taking different values of n, (2n+1)2-point approximating subdivision schemes are built. The proposed scheme can be applied for illustrate individual items as a par...

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Main Authors:	Ghulam Mustafa, Mehwish Bari, Touseef -ur-Rehman
Format:	Article
Language:	English
Published:	Mehran University of Engineering and Technology 2018-04-01
Series:	Mehran University Research Journal of Engineering and Technology
Online Access:	http://publications.muet.edu.pk/index.php/muetrj/article/view/201

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spelling	doaj-99543a4968cd4e529a5b00c1e98fbf602020-11-24T22:34:24ZengMehran University of Engineering and TechnologyMehran University Research Journal of Engineering and Technology0254-78212413-72192018-04-0137231932610.22581/muet1982.1802.08201The (2n+1)2-Point Scheme Based on Bivariate Quartic PolynomialGhulam Mustafa0Mehwish Bari1Touseef -ur-Rehman2Department of Mathematics, The Islamia University of Bahawalpur, BahawalpurDepartment of Mathematics, The Islamia University of Bahawalpur, BahawalpurDepartment of Mathematics, The Islamia University of Bahawalpur, BahawalpurWe are going to implement least squares approach to fit the bivariate quartic polynomial to (2n+1)2- perceptions/data, where n>2. By taking different values of n, (2n+1)2-point approximating subdivision schemes are built. The proposed scheme can be applied for illustrate individual items as a part of 3D (Three Dimensional) space. The proposed scheme is based on fitting the local least squares bivariate quartic polynomial of degree four to the (2n+1)2-observations. The influence of the proposed scheme is shown by 2D example and its working is presented with the help of different quadrilateral meshes. Subdivision and topological rules are also explained with graphical and mathematical representation. Applications and visual exhibitions of the plan have additionally been displayed to show the implementation of the plan.http://publications.muet.edu.pk/index.php/muetrj/article/view/201
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ghulam Mustafa Mehwish Bari Touseef -ur-Rehman
spellingShingle	Ghulam Mustafa Mehwish Bari Touseef -ur-Rehman The (2n+1)2-Point Scheme Based on Bivariate Quartic Polynomial Mehran University Research Journal of Engineering and Technology
author_facet	Ghulam Mustafa Mehwish Bari Touseef -ur-Rehman
author_sort	Ghulam Mustafa
title	The (2n+1)2-Point Scheme Based on Bivariate Quartic Polynomial
title_short	The (2n+1)2-Point Scheme Based on Bivariate Quartic Polynomial
title_full	The (2n+1)2-Point Scheme Based on Bivariate Quartic Polynomial
title_fullStr	The (2n+1)2-Point Scheme Based on Bivariate Quartic Polynomial
title_full_unstemmed	The (2n+1)2-Point Scheme Based on Bivariate Quartic Polynomial
title_sort	(2n+1)2-point scheme based on bivariate quartic polynomial
publisher	Mehran University of Engineering and Technology
series	Mehran University Research Journal of Engineering and Technology
issn	0254-7821 2413-7219
publishDate	2018-04-01
description	We are going to implement least squares approach to fit the bivariate quartic polynomial to (2n+1)2- perceptions/data, where n>2. By taking different values of n, (2n+1)2-point approximating subdivision schemes are built. The proposed scheme can be applied for illustrate individual items as a part of 3D (Three Dimensional) space. The proposed scheme is based on fitting the local least squares bivariate quartic polynomial of degree four to the (2n+1)2-observations. The influence of the proposed scheme is shown by 2D example and its working is presented with the help of different quadrilateral meshes. Subdivision and topological rules are also explained with graphical and mathematical representation. Applications and visual exhibitions of the plan have additionally been displayed to show the implementation of the plan.
url	http://publications.muet.edu.pk/index.php/muetrj/article/view/201
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The (2n+1)2-Point Scheme Based on Bivariate Quartic Polynomial

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