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

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.

► 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.