Interface CubicSplineType

  • All Superinterfaces:
    AbstractCurveSegmentType, EObject, Notifier
    All Known Implementing Classes:
    CubicSplineTypeImpl

    public interface CubicSplineType
    extends AbstractCurveSegmentType
    A representation of the model object 'Cubic Spline Type'. Cubic splines are similar to line strings in that they are a sequence of segments each with its own defining function. A cubic spline uses the control points and a set of derivative parameters to define a piecewise 3rd degree polynomial interpolation. Unlike line-strings, the parameterization by arc length is not necessarily still a polynomial. The function describing the curve must be C2, that is, have a continuous 1st and 2nd derivative at all points, and pass through the controlPoints in the order given. Between the control points, the curve segment is defined by a cubic polynomial. At each control point, the polynomial changes in such a manner that the 1st and 2nd derivative vectors are the same from either side. The control parameters record must contain vectorAtStart, and vectorAtEnd which are the unit tangent vectors at controlPoint[1] and controlPoint[n] where n = controlPoint.count. Note: only the direction of the vectors is relevant, not their length.

    The following features are supported:

    See Also:
    Gml311Package.getCubicSplineType()