• English
  • Deutsch
  • Log In
    or
  • Research Outputs
  • Projects
  • Researchers
  • Institutes
  • Statistics
Repository logo
Fraunhofer-Gesellschaft
  1. Home
  2. Fraunhofer-Gesellschaft
  3. Artikel
  4. Curvature-controlled curve editing using piecewise clothoid curves
 
  • Details
  • Full
Options
2013
  • Zeitschriftenaufsatz

Titel

Curvature-controlled curve editing using piecewise clothoid curves

Abstract
Two-dimensional curves are conventionally designed using splines or Bézier curves. Although formally they are C2 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, and adding control points does not change the curve. We present a fast localized clothoid interpolation algorithm that can also be used for curvature smoothing, for curve fitting, for curvature blending, and even for directly editing the curvature. We give a physical interpretation of variational curvature minimization, from which we derive our scheme. Finally, we demonstrate the achievable quality with a range of examples.
Author(s)
Havemann, Sven
TU Graz CGV
Edelsbrunner, Johannes
TU Graz CGV
Wagner, Philipp
TU Graz CGV
Fellner, Dieter W.
Fraunhofer-Institut für Graphische Datenverarbeitung IGD
Zeitschrift
Computers and Graphics
Konferenz
Shape Modeling International Conference (SMI) 2013
Thumbnail Image
DOI
10.1016/j.cag.2013.05.017
Language
Englisch
google-scholar
IGD
Tags
  • curvature

  • Curve modeling

  • Curve Optimization

  • Forschungsgruppe Sema...

  • Cookie settings
  • Imprint
  • Privacy policy
  • Api
  • Send Feedback
© 2022