如何通过三角形重心坐标在网格内随机生成任意一点？
摘要：1.重心坐标 三角形重心坐标(Barycentric Coordinates)可以通过alpha、beta、gamma三个权重总和为1的插值系数得到 三角形内任意一点，可以用此求出某点的重心坐标系数，或是给出系数得到一点： public c
1.重心坐标
三角形重心坐标(Barycentric Coordinates)可以通过alpha、beta、gamma三个权重总和为1的插值系数得到
三角形内任意一点，可以用此求出某点的重心坐标系数，或是给出系数得到一点：
public class Test : MonoBehaviour
{
public Transform p0;
public Transform p1;
public Transform p2;
[Range(0f, 1f)] public float w1;
[Range(0f, 1f)] public float w2;
[Range(0f, 1f)] public float w3;
private void OnDrawGizmos()
{
float sum = w1 + w2 + w3;
w1 /= sum;
w2 /= sum;
w3 /= sum;
Gizmos.DrawLine(p0.position, p1.position);
Gizmos.DrawLine(p1.position, p2.position);
Gizmos.DrawLine(p2.position, p0.position);
var target = w1 * p0.position + w2 * p1.position + w3 * p2.position;
Gizmos.DrawWireSphere(target, 0.1f);
}
}
2.绘制
使用三角形重心坐标生成Mesh内任意一点时，需要将三角形面积纳入考量，进行加权随机选取三角形，
选取三角形后，再通过重心坐标选取随机点即可：
using System.Collections.Generic;
using UnityEngine;
public class Scatters : MonoBehaviour
{
public struct WeightItem
{
public float weight;
public int value;
}
private int WeightRandom(WeightItem[] weightItems)
{
const float kEps = 0.00001f;
float sumWeight = 0;
for (int i = 0; i < weightItems.Length; i++)
sumWeight += weightItems[i].weight;
float randomValue = Random.Range(0f, sumWeight);
float atte = 0f;
for (int i = 0; i < weightItems.Length; i++)
{
float min = atte;
atte += weightItems[i].weight;
float max = atte;
if (randomValue > min && randomValue < max + kEps)
{
return weightItems[i].value;
}
}
throw new System.Exception();
}
public MeshFilter meshFilter;
private Vector3 Exec()
{
float Area(Vector3 a, Vector3 b, Vector3 c)
{
return Vector3.Cross(b - a, c - a).magnitude * 0.5f;
}
var triangles = meshFilter.sharedMesh.triangles;
var v