Approximation by Pro le Surfaces

A new algorithm for approximation of a given surface or scattered points by a surface of revolution is presented. It forms the basis for a study of approximation with proole surfaces. Those are sweeping surfaces traced out by a planar curve when its plane is rolling on a developable surface. Important special cases include developable surfaces and pipe surfaces, where the moving curve is a straight line or circle, respectively. The methods are illustrated at hand of applications in reverse engineering of geometric models.

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