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Two dimensional datamodeling and Chebyshev approximation of spline

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Main Authors: Fauziahanim, Che Seman, ShahNor, Basri, Ahmad Faizal, Mohd Zain
Other Authors: fauziahs@kuittho.edu.my
Format: Article
Language:English
Published: The Institution of Engineers, Malaysia 2011
Subjects:
Chebyshev approximation
Extreme points
Lagrange
Splines
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/13728
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spelling my.unimap-137282011-09-13T03:54:14Z Two dimensional datamodeling and Chebyshev approximation of spline Fauziahanim, Che Seman ShahNor, Basri Ahmad Faizal, Mohd Zain fauziahs@kuittho.edu.my Chebyshev approximation Extreme points Lagrange Splines Link to publisher's homepage at http://www.myiem.org.my/ This paper describes the approximation of discrete data using splines. The approximation method is adapted from the Chebyshev approximation. The procedures to find a set of extreme points for incoming discrete data are proposed. Several algorithms using cubic spline and Lagrange polynomial are proposed to diffrentiate the results due to the number of iteration, total number of the set of extreme points and error generated. The results show that the error generated decreases as the total number of extreme points increase. Six extreme points can represent one hundred of points and the generated error can be decreased. However, the algorithm presented uses more number of extreme points and will cause an increase in the total number of iterations. 2011-09-13T03:54:14Z 2011-09-13T03:54:14Z 2006-03 Article The Journal of the Institution of Engineers, Malaysia, vol. 67(1), 2006, pages 1-9 0126-513X http://www.myiem.org.my/content/iem_journal_2006-177.aspx http://hdl.handle.net/123456789/13728 en The Institution of Engineers, Malaysia
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Chebyshev approximation
Extreme points
Lagrange
Splines
spellingShingle Chebyshev approximation
Extreme points
Lagrange
Splines
Fauziahanim, Che Seman
ShahNor, Basri
Ahmad Faizal, Mohd Zain
Two dimensional datamodeling and Chebyshev approximation of spline
description Link to publisher's homepage at http://www.myiem.org.my/
author2 fauziahs@kuittho.edu.my
author_facet fauziahs@kuittho.edu.my
Fauziahanim, Che Seman
ShahNor, Basri
Ahmad Faizal, Mohd Zain
format Article
author Fauziahanim, Che Seman
ShahNor, Basri
Ahmad Faizal, Mohd Zain
author_sort Fauziahanim, Che Seman
title Two dimensional datamodeling and Chebyshev approximation of spline
title_short Two dimensional datamodeling and Chebyshev approximation of spline
title_full Two dimensional datamodeling and Chebyshev approximation of spline
title_fullStr Two dimensional datamodeling and Chebyshev approximation of spline
title_full_unstemmed Two dimensional datamodeling and Chebyshev approximation of spline
title_sort two dimensional datamodeling and chebyshev approximation of spline
publisher The Institution of Engineers, Malaysia
publishDate 2011
url http://dspace.unimap.edu.my/xmlui/handle/123456789/13728
_version_ 1643790901953167360
score 13.214268

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