A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces

Description

Yes / 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.

Links & Downloads

1. 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.
2. http://hdl.handle.net/10454/2795
3. https://doi.org/10.1080/1206212X.2009.11441929

Tags

Bezier surfaces

Biharmonic equation

Biharmonic functional

Additional Fields

Identifer	oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/2795
Date	06 1900
Creators	Monterde, J., Ugail, Hassan
Publisher	Taylor & Francis
Source Sets	Bradford Scholars
Language	English
Detected Language	English
Type	Article, Accepted Manuscript