/// <summary>
/// Interpolates a single segment of the spline given a parametric value.
/// </summary>
/// <param name="index">The point index to treat as t=0. index + 1 is deemed to be t=1</param>
/// <param name="t">Parametric value</param>
/// <returns>An interpolated point along the spline.</returns>
public Quaternion Interpolate(int index, float t, bool useShortestPath)
{
Debug.Assert(index >= 0 && index < pointList.Count, "Spline point index overrun.");
if ((index + 1) == pointList.Count)
{
// can't interpolate past the end of the list, just return the last point
return(pointList[index]);
}
// quick special cases
if (t == 0.0f)
{
return(pointList[index]);
}
else if (t == 1.0f)
{
return(pointList[index + 1]);
}
// Time for real interpolation
// Algorithm uses spherical quadratic interpolation
Quaternion p = pointList[index];
Quaternion q = pointList[index + 1];
Quaternion a = tangentList[index];
Quaternion b = tangentList[index + 1];
// return the final result
return(Quaternion.Squad(t, p, a, b, q, useShortestPath));
}
