输入两组点云数据,分别求其轮廓和其交集的面积的C++代码有吗?
时间: 2023-03-27 22:03:05 浏览: 97
可以的,以下是求解两组点云数据轮廓和交集面积的C代码:
```
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define MAX_POINTS 100
typedef struct {
double x;
double y;
} Point;
typedef struct {
Point points[MAX_POINTS];
int count;
} PointSet;
double cross(Point a, Point b) {
return a.x * b.y - a.y * b.x;
}
double area(PointSet set) {
double sum = .;
for (int i = ; i < set.count; i++) {
int j = (i + 1) % set.count;
sum += cross(set.points[i], set.points[j]);
}
return fabs(sum) / 2.;
}
PointSet convexHull(PointSet set) {
PointSet hull;
hull.count = ;
int n = set.count;
if (n < 3) {
for (int i = ; i < n; i++) {
hull.points[hull.count++] = set.points[i];
}
return hull;
}
int k = ;
Point hullPoints[MAX_POINTS];
for (int i = ; i < n; i++) {
while (k >= 2 && cross(hullPoints[k - 1] - hullPoints[k - 2], set.points[i] - hullPoints[k - 2]) <= ) {
k--;
}
hullPoints[k++] = set.points[i];
}
for (int i = n - 2, t = k + 1; i >= ; i--) {
while (k >= t && cross(hullPoints[k - 1] - hullPoints[k - 2], set.points[i] - hullPoints[k - 2]) <= ) {
k--;
}
hullPoints[k++] = set.points[i];
}
hull.count = k - 1;
for (int i = ; i < hull.count; i++) {
hull.points[i] = hullPoints[i];
}
return hull;
}
PointSet intersection(PointSet set1, PointSet set2) {
PointSet inter;
inter.count = ;
for (int i = ; i < set1.count; i++) {
for (int j = ; j < set2.count; j++) {
Point a = set1.points[i];
Point b = set1.points[(i + 1) % set1.count];
Point c = set2.points[j];
Point d = set2.points[(j + 1) % set2.count];
double s1 = cross(b - a, c - a);
double s2 = cross(b - a, d - a);
double s3 = cross(d - c, a - c);
double s4 = cross(d - c, b - c);
if (s1 * s2 < && s3 * s4 < ) {
Point p;
p.x = (s2 * c.x - s1 * d.x) / (s2 - s1);
p.y = (s2 * c.y - s1 * d.y) / (s2 - s1);
inter.points[inter.count++] = p;
}
}
}
return inter;
}
int main() {
PointSet set1, set2;
set1.count = 4;
set1.points[].x = .;
set1.points[].y = .;
set1.points[1].x = .;
set1.points[1].y = 1.;
set1.points[2].x = 1.;
set1.points[2].y = 1.;
set1.points[3].x = 1.;
set1.points[3].y = .;
set2.count = 4;
set2.points[].x = .5;
set2.points[].y = .5;
set2.points[1].x = .5;
set2.points[1].y = 1.5;
set2.points[2].x = 1.5;
set2.points[2].y = 1.5;
set2.points[3].x = 1.5;
set2.points[3].y = .5;
PointSet hull1 = convexHull(set1);
PointSet hull2 = convexHull(set2);
PointSet inter = intersection(hull1, hull2);
double area1 = area(hull1);
double area2 = area(hull2);
double interArea = area(inter);
double unionArea = area1 + area2 - interArea;
printf("轮廓1面积: %lf\n", area1);
printf("轮廓2面积: %lf\n", area2);
printf("交集面积: %lf\n", interArea);
printf("并集面积: %lf\n", unionArea);
return ;
}
```
阅读全文