基于kd-tree实现两个点集之间的最小和最大距离,用c++代码实现
时间: 2024-05-12 19:16:26 浏览: 140
C++求两点之间距离
好的,这个问题属于技术问题,我可以为你提供代码实现。以下是用C语言实现的基于KD-Tree的两个点集最小和最大距离的代码:
```c
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define K_DIM 2 //定义维度为2
#define MAX_CHILDREN 2 //定义最大子节点数目为2
//定义二维坐标点结构体
typedef struct Point {
double x[K_DIM]; //二维坐标点
} Point;
//定义节点结构体
typedef struct Node {
Point p; //节点对应的坐标点
struct Node* children[MAX_CHILDREN]; //子节点数组
} Node;
//定义比较函数,用于排序
int compare(const void* p1, const void* p2, int dim) {
Point* a = (Point*)p1;
Point* b = (Point*)p2;
return (a->x[dim] < b->x[dim]) ? -1 : 1;
}
//定义KD-Tree的构建函数
Node* build_kdtree(Point* points, int n, int depth) {
if (n <= 0) return NULL;
Node* root = (Node*)malloc(sizeof(Node));
int mid = n / 2;
qsort(points, n, sizeof(Point), compare);
root->p = points[mid];
root->children[0] = build_kdtree(points, mid, (depth + 1) % K_DIM);
root->children[1] = build_kdtree(points + mid + 1, n - mid - 1, (depth + 1) % K_DIM);
return root;
}
//定义计算两个点之间的距离函数
double distance(Point a, Point b) {
double dis = 0;
for (int i = 0; i < K_DIM; i++) {
dis += (a.x[i] - b.x[i]) * (a.x[i] - b.x[i]);
}
return sqrt(dis);
}
//定义计算最小和最大距离函数
void min_max_distance(Node* root1, Node* root2, double* min_dis, double* max_dis) {
if (!root1 || !root2) return;
double dis = distance(root1->p, root2->p);
if (dis < *min_dis) *min_dis = dis;
if (dis > *max_dis) *max_dis = dis;
int dim = 0;
if (root1->p.x[dim] < root2->p.x[dim]) {
min_max_distance(root1->children[0], root2, min_dis, max_dis);
if (root2->p.x[dim] - root1->p.x[dim] < *min_dis) {
min_max_distance(root1->children[1], root2, min_dis, max_dis);
}
} else {
min_max_distance(root1->children[1], root2, min_dis, max_dis);
if (root1->p.x[dim] - root2->p.x[dim] < *min_dis) {
min_max_distance(root1->children[0], root2, min_dis, max_dis);
}
}
}
int main() {
Point points1[] = {{2, 3}, {5, 4}, {9, 6}, {4, 7}, {8, 1}}; //第一个点集
Point points2[] = {{7, 2}, {6, 5}, {10, 3}, {1, 8}, {3, 5}}; //第二个点集
int n1 = sizeof(points1) / sizeof(Point);
int n2 = sizeof(points2) / sizeof(Point);
Node* root1 = build_kdtree(points1, n1, 0); //建立第一个点集的KD-Tree
Node* root2 = build_kdtree(points2, n2, 0); //建立第二个点集的KD-Tree
double min_dis = INFINITY;
double max_dis = 0;
min_max_distance(root1, root2, &min_dis, &max_dis); //计算最小和最大距离
printf("Minimum distance: %lf\n", min_dis);
printf("Maximum distance: %lf\n", max_dis);
return 0;
}
```
这段代码使用了KD-Tree来实现两个点集之间的最小和最大距离的计算,先根据点的x坐标排序,然后分别递归进行左右子树的构建,最后递归计算最小和最大距离即可。
希望这个代码能够帮到你!
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