Curvature-based blending of closed planar curves

@article{Saba2014CurvaturebasedBO,
  title={Curvature-based blending of closed planar curves},
  author={Marianna Saba and Teseo Schneider and Kai Hormann and Riccardo Scateni},
  journal={Graphical Models},
  year={2014},
  volume={76},
  pages={263-272}
}
A common way of blending between two planar curves is to linearly interpolate their signed curvature functions and to reconstruct the intermediate curve from the interpolated curvature values. But if both input curves are closed, this strategy can lead to open intermediate curves. We present a new algorithm for solving this problem, which finds the closed curve whose curvature is closest to the interpolated values. Our method relies on the definition of a suitable metric for measuring the… CONTINUE READING