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

doi:10.1016/j.cam.2011.06.017

Journal of Computational and Applied Mathematics

Volume 236, Issue 2, 15 August 2011, Pages 184-195

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Abstract

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.

Highlights

► Boundary based method for triangular Bézier surface generation. ► Explicit Bézier polynomial solution of a third order linear partial differential equation. ► Isotropic method for PDE Bézier triangle generation.

Keywords

Partial differential equation

PDE surface

Explicit solution

Isotropy

Bézier triangle