Class LloydHaywardBlendTransform3D


  • public class LloydHaywardBlendTransform3D
    extends BlendTransform3D
    Implements LloydHayward blending

    The LloydHayward blend [1], makes a smooth continous differentiable transition between
    two interpolators.

    [1]: J. Lloyd, V. Hayward. Real-Time Trajectory Generation Using Blend Functions,
    Proc. Int. Conf. on Robotics and Automation, 1991, pp. 784-798.
    • Constructor Detail

      • LloydHaywardBlendTransform3D

        public LloydHaywardBlendTransform3D​(long cPtr,
                                            boolean cMemoryOwn)
      • LloydHaywardBlendTransform3D

        public LloydHaywardBlendTransform3D​(InterpolatorTransform3D interpolator1,
                                            InterpolatorTransform3D interpolator2,
                                            double tau,
                                            double kappa)
        Constructs LloydHaywardBlend between interpolator1 and interpolator2.

        The blend starts tau before the end of interpolator1 and finished tau after the
        start of interpolator2. The constant kappa specifies characteristics of the blend
        as described in [1].

        Parameters:
        interpolator1 - [in] First interpolator, no ownership transferred
        interpolator2 - [in] Second interpolator, no ownership transferred
        tau - [in] Blend time
        kappa - [in] Blend characteristic (default 15/2 for acceleration minimal blend
        between linie segments)
      • LloydHaywardBlendTransform3D

        public LloydHaywardBlendTransform3D​(InterpolatorTransform3D interpolator1,
                                            InterpolatorTransform3D interpolator2,
                                            double tau)
        Constructs LloydHaywardBlend between interpolator1 and interpolator2.

        The blend starts tau before the end of interpolator1 and finished tau after the
        start of interpolator2. The constant kappa specifies characteristics of the blend
        as described in [1].

        Parameters:
        interpolator1 - [in] First interpolator, no ownership transferred
        interpolator2 - [in] Second interpolator, no ownership transferred
        tau - [in] Blend time
    • Method Detail

      • x

        public Transform3D x​(double t)
        <T>::x
        Overrides:
        x in class BlendTransform3D
        Parameters:
        t - [in] t\in[0,\tau_1+\tau_2]
        Returns:
        Position at time t
      • dx

        public Transform3D dx​(double t)
        Description copied from class: BlendTransform3D
        The velocity for a given time t
        Overrides:
        dx in class BlendTransform3D
        Parameters:
        t - [in] t\in[0,\tau_1+\tau_2]
        Returns:
        Velocity at time t
      • ddx

        public Transform3D ddx​(double t)
        Description copied from class: BlendTransform3D
        The acceleration for a given time t
        Overrides:
        ddx in class BlendTransform3D
        Parameters:
        t - [in] t\in[0,\tau_1+\tau_2]
        Returns:
        Acceleration at time t
      • tau1

        public double tau1()


        Note: For ParabolicBlend getTau1()==getTau2()
        Overrides:
        tau1 in class BlendTransform3D
        Returns:
        \tau_1
      • tau2

        public double tau2()


        Note: For ParabolicBlend getTau1()==getTau2()
        Overrides:
        tau2 in class BlendTransform3D
        Returns:
        \tau_2
      • kappa

        public double kappa()
        Returns the kappa value used in the blend