3点を繋ぐベジェ曲線上の座標

BezierCurveVector3.cs

/// <summary>
/// 3点を繋ぐベジェ曲線上の座標を返す
/// </summary>
/// <returns>座標</returns>
/// <param name="start">始点</param>
/// <param name="middle">中間点</param>
/// <param name="end">終点</param>
/// <param name="time">経過時間(0〜1)</param>
public static Vector3 BezierCurveVector3(Vector3 start, Vector3 middle, Vector3 end, float time) {
    float invT = 1.0f - time;
    float powT = Mathf.Pow(time, 2.0f);
    float invPowT = Mathf.Pow(invT, 2.0f);

    Vector3 point = start * invPowT;
    point += 2 * middle * invT * time;
    point += end * powT;

    return point;
}