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Surface interpolation using partial differentiation equation with positivity preserving cubic Said-Ball curves boundary condition

This paper proposes the sufficient conditions for positivity preserving cubic boundary curves defined on rectangular grid using polynomial solution of fourth order linear PDEs in order to improve the positivity preserving of the interpolating surface. We derive a sufficient condition on boundary cur...

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Main Authors: Kherd, Ahmed, Saaban, Azizan, Man, Noraziah
Format: Article
Published: Pushpa Publishing House 2013
Subjects:
QA Mathematics
Online Access:http://repo.uum.edu.my/21540/
http://www.pphmj.com/abstract/7539.htm
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spelling my.uum.repo.215402017-04-06T04:48:08Z http://repo.uum.edu.my/21540/ Surface interpolation using partial differentiation equation with positivity preserving cubic Said-Ball curves boundary condition Kherd, Ahmed Saaban, Azizan Man, Noraziah QA Mathematics This paper proposes the sufficient conditions for positivity preserving cubic boundary curves defined on rectangular grid using polynomial solution of fourth order linear PDEs in order to improve the positivity preserving of the interpolating surface. We derive a sufficient condition on boundary curves for each each of bicubic rectangular Bezier patches where the lower bounds of edge Bezier ordinates are adjusted independently.By using two well-known test functions, our result shows that the proposed method is well performed in terms of preserving the positivity of boundary curves and improves the positivity preserving of overall interpolating surfaces. Pushpa Publishing House 2013-04 Article PeerReviewed Kherd, Ahmed and Saaban, Azizan and Man, Noraziah (2013) Surface interpolation using partial differentiation equation with positivity preserving cubic Said-Ball curves boundary condition. Far East Journal of Mathematical Sciences (FJMS), 75 (2). pp. 257-272. ISSN 0972-0871 http://www.pphmj.com/abstract/7539.htm doi:10.1063/1.4882521
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutionali Repository
url_provider http://repo.uum.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Kherd, Ahmed
Saaban, Azizan
Man, Noraziah
Surface interpolation using partial differentiation equation with positivity preserving cubic Said-Ball curves boundary condition
description This paper proposes the sufficient conditions for positivity preserving cubic boundary curves defined on rectangular grid using polynomial solution of fourth order linear PDEs in order to improve the positivity preserving of the interpolating surface. We derive a sufficient condition on boundary curves for each each of bicubic rectangular Bezier patches where the lower bounds of edge Bezier ordinates are adjusted independently.By using two well-known test functions, our result shows that the proposed method is well performed in terms of preserving the positivity of boundary curves and improves the positivity preserving of overall interpolating surfaces.
format Article
author Kherd, Ahmed
Saaban, Azizan
Man, Noraziah
author_facet Kherd, Ahmed
Saaban, Azizan
Man, Noraziah
author_sort Kherd, Ahmed
title Surface interpolation using partial differentiation equation with positivity preserving cubic Said-Ball curves boundary condition
title_short Surface interpolation using partial differentiation equation with positivity preserving cubic Said-Ball curves boundary condition
title_full Surface interpolation using partial differentiation equation with positivity preserving cubic Said-Ball curves boundary condition
title_fullStr Surface interpolation using partial differentiation equation with positivity preserving cubic Said-Ball curves boundary condition
title_full_unstemmed Surface interpolation using partial differentiation equation with positivity preserving cubic Said-Ball curves boundary condition
title_sort surface interpolation using partial differentiation equation with positivity preserving cubic said-ball curves boundary condition
publisher Pushpa Publishing House
publishDate 2013
url http://repo.uum.edu.my/21540/
http://www.pphmj.com/abstract/7539.htm
_version_ 1644283266581135360
score 13.211869

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