Curva de Bezier para Jogos criados na Unity 3D

Bezier

using UnityEngine;
using System.Collections;

public class Bezier {

	private Vector3 p0;
	private Vector3 p1;
	private Vector3 p2;
	private Vector3 p3;

	private Vector3 b0 = Vector3.zero;
	private Vector3 b1 = Vector3.zero;
	private Vector3 b2 = Vector3.zero;
	private Vector3 b3 = Vector3.zero;

	private float Ax;
	private float Ay;
	private float Az;

	private float Bx;
	private float By;
	private float Bz;

	private float Cx;
	private float Cy;
	private float Cz;


	public Bezier(Vector3 v0, Vector3 v1, Vector3 v2, Vector3 v3) {
		this.p0 = v0;
		this.p1 = v1;
		this.p2 = v2;
		this.p3 = v3;
	}

	public Vector3 GetPointAtTime(float t) {
		
		this.CheckConstant();

		float t2 = t * t;
		float t3 = t * t * t;
		
		float x = this.Ax * t3 + this.Bx * t2 + this.Cx * t + p0.x;
		float y = this.Ay * t3 + this.By * t2 + this.Cy * t + p0.y;
		float z = this.Az * t3 + this.Bz * t2 + this.Cz * t + p0.z;
		
		return(new Vector3(x,y,z));
	}

	private void SetConstant() {
		this.Cx = 3 * ((this.p0.x + this.p1.x) - this.p0.x);
		this.Bx = 3 * ((this.p3.x + this.p2.x) - (this.p0.x + this.p1.x)) - this.Cx;
		this.Ax = this.p3.x - this.p0.x - this.Cx - this.Bx;

		this.Cy = 3 * ((this.p0.y + this.p1.y) - this.p0.y);
		this.By = 3 * ((this.p3.y + this.p2.y) - (this.p0.y + this.p1.y)) - this.Cy;
		this.Ay = this.p3.y - this.p0.y - this.Cy - this.By;

		this.Cz = 3 * ((this.p0.z + this.p1.z) - this.p0.z);
		this.Bz = 3 * ((this.p3.z + this.p2.z) - (this.p0.z + this.p1.z)) - this.Cz;
		this.Az = this.p3.z - this.p0.z - this.Cz - this.Bz;
	}
	

	private void CheckConstant() {
		if (this.p0 != this.b0 || this.p1 != this.b1 || this.p2 != this.b2 || this.p3 != this.b3) {
			this.SetConstant();
			this.b0 = this.p0;
			this.b1 = this.p1;
			this.b2 = this.p2;
			this.b3 = this.p3;
		} 
	}
}