Curvature-controlled curve editing using piecewise clothoid curves

@article{Havemann2013CurvaturecontrolledCE,
  title={Curvature-controlled curve editing using piecewise clothoid curves},
  author={Sven Havemann and Johannes Edelsbrunner and Philipp Wagner and Dieter W. Fellner},
  journal={Computers & Graphics},
  year={2013},
  volume={37},
  pages={764-773}
}
Two-dimensional curves are conventionally designed using splines or Bézier curves. Although formally they are C or higher, the variation of the curvature of (piecewise) polynomial curves is difficult to control; in some cases it is practically impossible to obtain the desired curvature. As an alternative we propose piecewise clothoid curves (PCCs). We show that from the design point of view they have many advantages: control points are interpolated, curvature extrema lie in the control points… CONTINUE READING