Optimal Geometric Hermite Interpolation of Curves

  title={Optimal Geometric Hermite Interpolation of Curves},
  author={Robert Schaback},
Bernstein{B ezier two{point Hermite G 2 interpolants to plane and space curves can be of degree up to 5, depending on the situation. We give a complete characterization for the cases of degree 3 to 5 and prove that rational representations are only required for degree 3. x1. Introduction and Overview We consider recovery of curves from irregularly sampled data. If the curves are to be represented by NURBS, we want to generate representations which are minimal in the following sense: 1. they… CONTINUE READING