6533b857fe1ef96bd12b3a0c
RESEARCH PRODUCT
A COMPARATIVE STUDY BETWEEN ´ BIHARMONIC BEZIER SURFACES AND BIHARMONIC EXTREMAL SURFACES
Hassan UgailJuan Monterdesubject
Bézier surfaceComputer scienceHardware and ArchitectureMathematical analysisBiharmonic equationBoundary (topology)Bézier curveBiharmonic Bézier surfaceComputer Graphics and Computer-Aided DesignSoftwareComputer Science Applicationsdescription
AbstractGiven 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 | International Journal of Computers and Applications |