Interpolation Type

 

Interpolation Type selects an interpolation type of the curve to as Cubic (non-uniform), Poly5 (non-uniform), Cubic (uniform) and Poly5 (uniform).

 

Cubic(non-uniform)

Cubic spline method. This option is used when the lengths of segments are same or different. (Recommended)

Poly5(non-uniform)

5th polynomial spline method. This option is used when the lengths of segments are same or different.

Cubic(uniform)

Cubic spline method. This option is for the prior solution. It is recommended when the lengths of segments are same.

Poly5(uniform)

5th polynomial spline method. This option is for the prior solution. It is recommended when the lengths of segments are same.

 

     Non-uniform and Uniform are the parameterization method of a curve.

    The parameterized value is determined by the length of curve segment in the Non-uniform. But the parameterized value of regular intervals is determined regardless of the length of curve segment in the Non-uniform.

    If the lengths of curve segments are same, the results of Non-uniform and Uniform are same. But, if the lengths of curve segments are different, the result of Non-uniform is better than the result of Uniform.

 

 

     Open curve

    When the curve is the open loop, the quadric differential values for the initial point and final point are same in Curve (uniform).

    When the curve is the open loop, the quadric and cubic and quartic differential values for the initial point and final point are same in Poly5 (uniform).

    When the curve is the open loop, the quadric values for the initial point and final point are zero in Curve (non-uniform).

    When the curve is the open loop, the quadric and cubic and quartic differential values for the initial point and final point are zero in Poly5(non-uniform).

 

     Comparison for the simulation result of cubic(non-uniform) with cubic(uniform)

 

    Non-uniform

 

The curve is composed of the non-uniform segments as shown in the above figure and the model is simulated for cubic (non-uniform) and cubic (uniform) cases. The normal contact forces are shown in the above plot. The blue line is the result of cubic (uniform) and the green line is the result of cubic (non-uniform). In the case of the cubic (uniform), there is a noise at which the length of segment is changed.

 

    Uniform

 

 

The curve is composeed of the uniform segments as shown in the above figure and the model is simulated for cubic (non-uniform) and cubic (uniform) cases. The normal contact forces are shown in the above plot. The blue line is the result of cubic (uniform) and the green line is the result of cubic (non-uniform). The result of cubic (uniform) is same as that of cubic (non-uniform).