88 lines
3.2 KiB
C#
88 lines
3.2 KiB
C#
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using System.Collections;
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using System.Collections.Generic;
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using UnityEngine;
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public class BezierUtils
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{
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/// <summary>
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/// 二次贝塞尔曲线：根据T值，计算贝塞尔曲线上面相对应的点
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/// </summary>
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/// <param name="t"></param>T值
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/// <param name="pStartV"></param>起始点
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/// <param name="pControlV"></param>控制点
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/// <param name="pEndV"></param>目标点
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/// <returns></returns>根据T值计算出来的贝赛尔曲线点
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public static Vector3 CalculateBezierPointN2(float t, Vector3 pStartV, Vector3 pControlV, Vector3 pEndV)
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{
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float u = 1 - t;
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Vector3 tPos = u * u * pStartV;
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tPos += 2 * u * t * pControlV;
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tPos += t * t * pEndV;
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return tPos;
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}
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/// <summary>
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/// 二次贝塞尔曲线：获取存储贝塞尔曲线点的数组
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/// </summary>
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/// <param name="pStartV"></param>起始点
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/// <param name="pControlV"></param>控制点
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/// <param name="pEndV"></param>目标点
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/// <param name="pSegment"></param>采样点的数量
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/// <returns></returns>存储贝塞尔曲线点的数组
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public static Vector3[] GetBezierListN2(Vector3 pStartV, Vector3 pControlV, Vector3 pEndV, int pSegment)
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{
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Vector3[] tPath = new Vector3[pSegment + 1];
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for (int i = 0; i <= pSegment; i++)
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{
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float t = i / (float)pSegment;
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Vector3 pixel = CalculateBezierPointN2(t, pStartV, pControlV, pEndV);
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tPath[i] = pixel;
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}
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return tPath;
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}
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/// <summary>
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/// 二次贝塞尔曲线：根据T值，计算贝塞尔曲线上面相对应的点
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/// </summary>
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/// <param name="t"></param>T值
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/// <param name="pStartV"></param>起始点
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/// <param name="pControlV1"></param>控制点1
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/// <param name="pControlV2"></param>控制点2
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/// <param name="pEndV"></param>目标点
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/// <returns></returns>根据T值计算出来的贝赛尔曲线点
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public static Vector3 CalculateBezierPointN3(float t, Vector3 pStartV, Vector3 pControlV1, Vector3 pControlV2, Vector3 pEndV)
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{
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float u = 1 - t;
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Vector3 tPos = Vector3.zero;
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tPos = u * u * u * pStartV;
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tPos += 3 * u * u * t * pControlV1;
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tPos += 3 * u * t * t * pControlV2;
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tPos += t * t * t * pEndV;
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return tPos;
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}
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/// <summary>
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/// 三次贝塞尔曲线：获取存储贝塞尔曲线点的数组
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/// </summary>
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/// <param name="pStartV"></param>起始点
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/// <param name="pControlV1"></param>控制点1
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/// <param name="pControlV2"></param>控制点2
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/// <param name="pEndV"></param>目标点
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/// <param name="pSegment"></param>采样点的数量
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/// <returns></returns>存储贝塞尔曲线点的数组
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public static Vector3[] GetBezierListN3(Vector3 pStartV, Vector3 pControlV1, Vector3 pControlV2, Vector3 pEndV, int pSegment)
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{
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Vector3[] tPath = new Vector3[pSegment + 1];
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for (int i = 0; i <= pSegment; i++)
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{
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float t = i / (float)pSegment;
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Vector3 pixel = CalculateBezierPointN3(t, pStartV, pControlV1, pControlV2, pEndV);
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tPath[i] = pixel;
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}
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return tPath;
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}
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}
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