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A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces
Monterde, J. Ugail, Hassan
Monterde, J.
Ugail, Hassan
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Publication Date
2009-06
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� 2009 Taylor & Francis. This is an Author's Original Manuscript of an article published by Taylor & Francis in International Journal of Computers and Applications in 2009 available online at https://doi.org/10.1080/1206212X.2009.11441929.
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Abstract
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.
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Accepted manuscript
Citation
Monterde J and Ugail H (2009) A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces. International Journal of Computers and Applications. 31(2): 202-214.
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