Parametrizing Wing Surfaces using Partial Differential Equations

A method is presented for generating three-dimensional surface data given two-dimensional section data. The application on which this paper concentrates is that of producing wing surfaces through a set of airfoil sections. It is an extension of a new method for the the efficient parametrization of complex three-dimensional shapes, called the PDE Method. The method views surface generation as a boundary-value problem, and produces surfaces as the solutions to elliptic partial differential equations.

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