A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces

A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces

No === Given a prescribed boundary of a Bezier surface we compare the Bezier surfaces generated by two different methods, i.e. the Bezier surface minimising the Biharmonic functional and the unique Bezier surface solution of the Biharmonic equation with prescribed boundary. Although often the t...

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Bibliographic Details
Main Authors: Monterde, J., Ugail, Hassan
Language:en
Published: ACTA Press 2009
Subjects:
Bezier surfaces
Biharmonic equation
Biharmonic functional
Online Access:http://hdl.handle.net/10454/2795
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spelling ndltd-BRADFORD-oai-bradscholars.brad.ac.uk-10454-27952019-08-31T03:02:30Z A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces Monterde, J. Ugail, Hassan Bezier surfaces Biharmonic equation Biharmonic functional No Given a prescribed boundary of a Bezier surface we compare the Bezier surfaces generated by two different methods, i.e. the Bezier surface minimising the Biharmonic functional and the unique Bezier surface solution of the Biharmonic equation with prescribed boundary. Although often the two types of surfaces look visually the same, we show that they are indeed different. In this paper we provide a theoretical argument showing why the two types of surfaces are not always the same. 2009-06-11T11:45:15Z 2009-06-11T11:45:15Z 2009-06-11T11:45:15Z Article Accepted Manuscript Monterde, J. and Ugail, H. (2009). A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces. International Journal of Computers and Applications, Vol. 31, No. 2, pp. 202-214. http://hdl.handle.net/10454/2795 en http://www.actapress.com/Content_of_Journal.aspx?journalID=59 ACTA Press
collection NDLTD
language en
sources NDLTD
topic Bezier surfaces
Biharmonic equation
Biharmonic functional
spellingShingle Bezier surfaces
Biharmonic equation
Biharmonic functional
Monterde, J.
Ugail, Hassan
A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces
description No === Given a prescribed boundary of a Bezier surface we compare the Bezier surfaces generated by two different methods, i.e. the Bezier surface minimising the Biharmonic functional and the unique Bezier surface solution of the Biharmonic equation with prescribed boundary. Although often the two types of surfaces look visually the same, we show that they are indeed different. In this paper we provide a theoretical argument showing why the two types of surfaces are not always the same.
author Monterde, J.
Ugail, Hassan
author_facet Monterde, J.
Ugail, Hassan
author_sort Monterde, J.
title A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces
title_short A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces
title_full A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces
title_fullStr A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces
title_full_unstemmed A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces
title_sort comparative study between biharmonic bezier surfaces and biharmonic extremal surfaces
publisher ACTA Press
publishDate 2009
url http://hdl.handle.net/10454/2795
work_keys_str_mv AT monterdej acomparativestudybetweenbiharmonicbeziersurfacesandbiharmonicextremalsurfaces
AT ugailhassan acomparativestudybetweenbiharmonicbeziersurfacesandbiharmonicextremalsurfaces
AT monterdej comparativestudybetweenbiharmonicbeziersurfacesandbiharmonicextremalsurfaces
AT ugailhassan comparativestudybetweenbiharmonicbeziersurfacesandbiharmonicextremalsurfaces
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