Approximation by Profile Surfaces 1

  title={Approximation by Profile Surfaces 1},
  author={Helmut Pottmann and H.-Y. Chen and I.-K. Lee},
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 profile 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 using applications in reverse… CONTINUE READING
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