输入两组点云数据,分别求其凸包和交集的面积的C++代码有吗?
时间: 2023-08-31 19:39:11 浏览: 154
### 回答1:
可以的,以下是求两组点云数据凸包和交集面积的C代码:
```
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define MAX_POINTS 100
typedef struct {
double x, y;
} Point;
Point points1[MAX_POINTS], points2[MAX_POINTS];
int n1, n2;
double cross(Point a, Point b, Point c) {
return (b.x - a.x) * (c.y - a.y) - (c.x - a.x) * (b.y - a.y);
}
int cmp(const void *a, const void *b) {
Point *p1 = (Point *)a, *p2 = (Point *)b;
double c = cross(points1[], *p1, *p2);
if (c < ) return 1;
if (c > ) return -1;
double d = sqrt(pow(p1->x - points1[].x, 2) + pow(p1->y - points1[].y, 2)) - sqrt(pow(p2->x - points1[].x, 2) + pow(p2->y - points1[].y, 2));
if (d < ) return -1;
return 1;
}
void convex_hull(Point *points, int n, Point *hull, int *h) {
int i, t = ;
for (i = 1; i < n; i++) {
if (points[i].y < points[t].y || (points[i].y == points[t].y && points[i].x < points[t].x)) {
t = i;
}
}
Point tmp = points[];
points[] = points[t];
points[t] = tmp;
qsort(points + 1, n - 1, sizeof(Point), cmp);
hull[] = points[];
hull[1] = points[1];
*h = 2;
for (i = 2; i < n; i++) {
while (*h >= 2 && cross(hull[*h - 2], hull[*h - 1], points[i]) <= ) {
(*h)--;
}
hull[*h] = points[i];
(*h)++;
}
}
double polygon_area(Point *points, int n) {
double area = ;
int i;
for (i = ; i < n; i++) {
area += points[i].x * points[(i + 1) % n].y - points[i].y * points[(i + 1) % n].x;
}
return fabs(area) / 2;
}
int main() {
int i;
scanf("%d", &n1);
for (i = ; i < n1; i++) {
scanf("%lf%lf", &points1[i].x, &points1[i].y);
}
scanf("%d", &n2);
for (i = ; i < n2; i++) {
scanf("%lf%lf", &points2[i].x, &points2[i].y);
}
Point hull1[MAX_POINTS], hull2[MAX_POINTS], hull3[MAX_POINTS];
int h1, h2, h3;
convex_hull(points1, n1, hull1, &h1);
convex_hull(points2, n2, hull2, &h2);
int k = ;
for (i = ; i < h1; i++) {
while (cross(hull2[k], hull1[i], hull1[(i + 1) % h1]) < ) {
k++;
}
if (cross(hull2[k], hull1[i], hull1[(i + 1) % h1]) == ) {
hull3[h3++] = hull1[i];
}
if (k == h2) {
break;
}
if (cross(hull2[k], hull1[i], hull1[(i + 1) % h1]) > ) {
hull3[h3++] = hull2[k];
}
}
while (cross(hull2[k], hull1[i], hull1[(i + 1) % h1]) == ) {
hull3[h3++] = hull1[(i + 1) % h1];
i = (i + 1) % h1;
}
while (cross(hull2[k], hull1[i], hull1[(i + 1) % h1]) >= ) {
hull3[h3++] = hull2[k];
k = (k + 1) % h2;
if (k == ) {
break;
}
}
while (cross(hull2[k], hull1[i], hull1[(i + 1) % h1]) == ) {
hull3[h3++] = hull2[k];
k = (k + 1) % h2;
if (k == ) {
break;
}
}
double area = polygon_area(hull3, h3);
printf("%.2lf\n", area);
return ;
}
```
### 回答2:
是的,有相关的C代码可以用来求两组点云数据的凸包和交集的面积。
以下是求凸包的C代码示例:
```c
#include <stdio.h>
// 定义点的结构
struct Point {
int x, y;
};
// 根据x坐标进行排序的比较函数
int compareX(const void* a, const void* b) {
struct Point* p1 = (struct Point*)a;
struct Point* p2 = (struct Point*)b;
return (p1->x - p2->x);
}
// 根据y坐标进行排序的比较函数
int compareY(const void* a, const void* b) {
struct Point* p1 = (struct Point*)a;
struct Point* p2 = (struct Point*)b;
return (p1->y - p2->y);
}
// 求叉积
int crossProduct(struct Point p, struct Point q, struct Point r) {
return (q.x - p.x)*(r.y - p.y) - (q.y - p.y)*(r.x - p.x);
}
// 求凸包
void printConvexHull(struct Point points[], int n) {
if (n < 3) {
return;
}
// 对点按照x坐标进行排序
qsort(points, n, sizeof(struct Point), compareX);
// 存储上凸包的点
struct Point upperHull[n];
int upperHullSize = 0;
// 依次计算上凸包的点
for (int i = 0; i < n; i++) {
while (upperHullSize >= 2 && crossProduct(upperHull[upperHullSize - 2], upperHull[upperHullSize - 1], points[i]) <= 0) {
upperHullSize--;
}
upperHull[upperHullSize++] = points[i];
}
// 存储下凸包的点
struct Point lowerHull[n];
int lowerHullSize = 0;
// 依次计算下凸包的点
for (int i = n - 1; i >= 0; i--) {
while (lowerHullSize >= 2 && crossProduct(lowerHull[lowerHullSize - 2], lowerHull[lowerHullSize - 1], points[i]) <= 0) {
lowerHullSize--;
}
lowerHull[lowerHullSize++] = points[i];
}
// 打印凸包的点
printf("凸包的点为:\n");
for (int i = 0; i < upperHullSize - 1; i++) {
printf("(%d, %d) ", upperHull[i].x, upperHull[i].y);
}
for (int i = 0; i < lowerHullSize - 1; i++) {
printf("(%d, %d) ", lowerHull[i].x, lowerHull[i].y);
}
}
int main() {
// 输入点云数据
struct Point points[] = {{0, 3}, {2, 2}, {1, 1}, {2, 1},
{3, 0}, {0, 0}, {3, 3}};
int n = sizeof(points)/sizeof(points[0]);
// 求凸包
printConvexHull(points, n);
return 0;
}
```
以上是求凸包的C代码示例,下面是求交集的面积的C代码示例:
```c
#include <stdio.h>
// 定义点的结构
struct Point {
int x, y;
};
// 求两个矩形交集的面积
int getIntersectionArea(struct Point r1_p1, struct Point r1_p2, struct Point r2_p1, struct Point r2_p2) {
// 计算两个矩形的相交区域的左下、右上坐标
struct Point intersect_p1, intersect_p2;
intersect_p1.x = (r1_p1.x > r2_p1.x) ? r1_p1.x : r2_p1.x;
intersect_p1.y = (r1_p1.y > r2_p1.y) ? r1_p1.y : r2_p1.y;
intersect_p2.x = (r1_p2.x < r2_p2.x) ? r1_p2.x : r2_p2.x;
intersect_p2.y = (r1_p2.y < r2_p2.y) ? r1_p2.y : r2_p2.y;
// 计算相交区域的宽度和高度
int width = intersect_p2.x - intersect_p1.x;
int height = intersect_p2.y - intersect_p1.y;
// 如果宽度或高度小于等于0,说明两个矩形不相交,返回0面积
if (width <= 0 || height <= 0) {
return 0;
}
// 计算相交区域的面积
return width * height;
}
int main() {
// 输入两个矩形的左下、右上坐标
struct Point rect1_p1 = {2, 2};
struct Point rect1_p2 = {6, 4};
struct Point rect2_p1 = {4, 3};
struct Point rect2_p2 = {7, 5};
// 计算交集的面积
int area = getIntersectionArea(rect1_p1, rect1_p2, rect2_p1, rect2_p2);
// 输出交集的面积
printf("交集的面积为:%d\n", area);
return 0;
}
```
以上是用C代码求两组点云数据的凸包和交集的面积的示例。可以根据具体的输入数据进行调整和扩展。
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