Alpha-Biharmonic Bézier Surfaces

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With prescribed (free) boundary curves you can plot the surface satisfying the PDE . For , this is a biharmonic surface. You can choose the height of any boundary control point. You can modify the prescribed boundary curves and the parameter to see the change in the surface.

Contributed by: A. Arnal and J. Monterde (November 2012)
Open content licensed under CC BY-NC-SA


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A PDE surface satisfying the modified biharmonic equation is totally determined by its boundary curves.



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