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A General 4th-Order PDE Method to Generate Bezier Surfaces from the BoundaryMonterde, J., Ugail, Hassan January 2005 (has links)
No description available.
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On harmonic and biharmonic Bezier surfacesMonterde, J., Ugail, Hassan January 2004 (has links)
Yes
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A General 4th-Order PDE Method to Generate Bézier Surfaces from the BoundaryMonterde, J., Ugail, Hassan January 2006 (has links)
No / In this paper we present a method for generating Bézier surfaces from the boundary information based on a general 4th-order PDE. This is a generalisation of our previous work on harmonic and biharmonic Bézier surfaces whereby we studied the Bézier solutions for Laplace and the standard biharmonic equation, respectively.
Here we study the Bézier solutions of the Euler¿Lagrange equation associated with the most general quadratic functional. We show that there is a large class of fourth-order operators for which Bézier solutions exist and hence we show that such operators can be utilised to generate Bézier surfaces from the boundary information. As part of this work we present a general method for generating these Bézier surfaces. Furthermore, we show that some of the existing techniques for boundary based surface design, such as Coons patches and Bloor¿Wilson PDE method, are indeed particular cases of the generalised framework we present here.
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