请写出用贝塞尔曲线算法来平滑多边形的c++代码，其中输入为多边形集合

答：以下是一个用贝塞尔曲线算法来平滑多边形的C代码： #include <stdio.h>
#include <math.h> typedef struct{
double x;
double y;
}Point; // 计算两点之间的距离
double distance(Point a, Point b)
{
return sqrt((a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y));
} // 用贝塞尔曲线算法来平滑多边形
void smoothPolygon(Point *polygon, int n)
{
int i = 0;
Point point1, point2, point3;
double k, b;
for (i = 0; i < n; i++)
{
point1 = polygon[i];
point2 = polygon[(i+1)%n];
point3 = polygon[(i+2)%n]; // 计算后一段的斜率
k = (point3.y - point1.y) / (point3.x - point1.x);
b = point2.y - k * point2.x; // 计算平滑后的多边形
polygon[(i+1)%n].x = (distance(point1, point2) * point3.x + distance(point2, point3) * point1.x) / (distance(point1, point2) + distance(point2, point3));
polygon[(i+1)%n].y = k * polygon[(i+1)%n].x + b;
}
}