The surface of partial differential equation (PDE surface) is a surface that satisfies the PDE with boundary conditions, which can be applied in surface modeling and construction. In this paper, the construction of tensor product Bézier surfaces of triharmonic equation from different boundary conditions is presented. The internal control points of the resulting triharmonic Bézier surface can be obtained uniquely by the given boundary condition. Some representative examples show the effectiveness of the presented method.

中文翻译：

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从边界条件构造三谐贝塞尔曲面

偏微分方程的曲面（PDE曲面）是满足边界条件的PDE的曲面，可用于曲面建模和构造。本文提出了在不同边界条件下构造三次谐波方程张量积贝塞尔曲面的方法。通过给定的边界条件，可以唯一获得最终三谐Bézier曲面的内部控制点。一些代表性的例子表明了所提出方法的有效性。