A third order partial differential equation for isotropic boundary based triangular Bézier surface generation

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摘要

We approach surface design by solving a linear third order Partial Differential Equation (PDE). We present an explicit polynomial solution method for triangular Bézier PDE surface generation characterized by a boundary configuration. The third order PDE comes from a symmetric operator defined here to overcome the anisotropy drawback of any operator over triangular Bézier surfaces.

论文关键词:Partial differential equation,PDE surface,Explicit solution,Isotropy,Bézier triangle

论文评审过程:Received 18 January 2011, Revised 6 May 2011, Available online 26 June 2011.

论文官网地址:https://doi.org/10.1016/j.cam.2011.06.017