Constructive methods in convexC 2 interpolation using quartic splines

@article{Mulansky1996ConstructiveMI,
  title={Constructive methods in convexC 2 interpolation using quartic splines},
  author={Bernd Mulansky and Jochen W. Schmidt},
  journal={Numerical Algorithms},
  year={1996},
  volume={12},
  pages={111-124}
}
Using quartic splines on refined grids, we present a method for convexity preservingC 2 interpolation which is successful for all strictly convex data sets. In the first stage, one suitable additional knot in each subinterval of the original data grid is fixed dependent on the given data values. In the second stage, a visually pleasant interpolant is… CONTINUE READING