/// <summary>
/// Linear Interpolation
/// </summary>
/// <param name="start">Start</param>
/// <param name="end">End</param>
/// <param name="interpolation">Value from 0 to 1</param>
/// <returns>Matrix</returns>
public static Matrix Lerp(AnimationData start, AnimationData end, float interpolation)
{
Quaternion q = Quaternion.Slerp(start.Rotation, end.Rotation, interpolation);
Vector3 s = Vector3.Lerp(start.Scaling, end.Scaling, interpolation);
Vector3 t = Vector3.Lerp(start.Translation, end.Translation, interpolation);
return Matrix.Scaling(s) * Matrix.RotationQuaternion(q) * Matrix.Translation(t);
}
/// <summary>
/// Bezier Interpolation
/// </summary>
/// <param name="start">Start</param>
/// <param name="end">End</param>
/// <param name="tangent_in">Input Tangent</param>
/// <param name="tangent_out">Output Tangent</param>
/// <param name="interpolation">Value from 0 to 1</param>
/// <returns>Matrix</returns>
public static Matrix Bezier(AnimationData start, AnimationData end, AnimationData tangent_in, AnimationData tangent_out, float interpolation)
{
//F=P0*(1-s)^3 + 3C0 s(1-s)^2 + 3C1 s^2(1-s) + Ps^3
float p0 = (1 - interpolation) * (1 - interpolation) * (1 - interpolation);
float p1 = 3 * interpolation * (1 - interpolation) * (1 - interpolation);
float p2 = 3 * interpolation * interpolation * (1 - interpolation);
float p3 = interpolation * interpolation * interpolation;
Quaternion q = p0 * start.Rotation + p1 * tangent_out.Rotation + p2 * tangent_in.Rotation + p3 * end.Rotation;
Vector3 s = p0 * start.Scaling + p1 * tangent_out.Scaling + p2 * tangent_in.Scaling + p3 * end.Scaling;
Vector3 t = p0 * start.Translation + p1 * tangent_out.Translation + p2 * tangent_in.Translation + p3 * end.Translation;
return Matrix.Scaling(s) * Matrix.RotationQuaternion(q) * Matrix.Translation(t);
}
/// <summary>
/// Bezier Interpolation
/// </summary>
/// <param name="start">Start</param>
/// <param name="end">End</param>
/// <param name="tangent_in">Input Tangent</param>
/// <param name="tangent_out">Output Tangent</param>
/// <param name="interpolation">Value from 0 to 1</param>
/// <returns>Matrix</returns>
public static Matrix Bezier(AnimationData start, AnimationData end, AnimationData tangent_in, AnimationData tangent_out, float interpolation)
{
//F=P0*(1-s)^3 + 3C0 s(1-s)^2 + 3C1 s^2(1-s) + Ps^3
float p0 = (1 - interpolation) * (1 - interpolation) * (1 - interpolation);
float p1 = 3 * interpolation * (1 - interpolation) * (1 - interpolation);
float p2 = 3 * interpolation * interpolation * (1 - interpolation);
float p3 = interpolation * interpolation * interpolation;
Quaternion q = p0 * start.Rotation + p1 * tangent_out.Rotation + p2 * tangent_in.Rotation + p3 * end.Rotation;
Vector3 s = p0 * start.Scaling + p1 * tangent_out.Scaling + p2 * tangent_in.Scaling + p3 * end.Scaling;
Vector3 t = p0 * start.Translation + p1 * tangent_out.Translation + p2 * tangent_in.Translation + p3 * end.Translation;
return(Matrix.Scaling(s) * Matrix.RotationQuaternion(q) * Matrix.Translation(t));
}
