Interface Clothoid

  • All Superinterfaces:
    CurveSegment, GenericCurve

    @UML(identifier="GM_Clothoid",
         specification=ISO_19107)
    public interface Clothoid
    extends CurveSegment
    The clothoid (or Cornu's spiral), a plane curve whose curvature is a fixed function of its length. In suitably chosen co-ordinates it is given by Fresnel's integrals:
    (TODO: paste the equation here)
    This geometry is mainly used as a transition curve between curves of type straight line/circular arc or circular arc/circular arc. With this curve type it is possible to achieve a C2-continous transition between the above mentioned curve types. One formula for the clothoid is A² = R×t where A is a constant, R is the varying radius of curvature along the curve and t is the length along the curve and given in the Fresnel integrals.
    Since:
    GeoAPI 2.0