python求凸包直径
时间: 2023-06-22 11:23:30 浏览: 60
可以使用 scipy 库的 ConvexHull 函数求解凸包,然后再使用旋转卡壳算法求解凸包直径。
下面是一个求解凸包直径的 Python 代码示例:
```python
import numpy as np
from scipy.spatial import ConvexHull
def dist(p1, p2):
return np.linalg.norm(p1 - p2)
def diameter(hull):
"""Calculate the diameter of a convex hull."""
if len(hull.vertices) < 2:
return 0
elif len(hull.vertices) == 2:
return dist(hull.points[hull.vertices[0]], hull.points[hull.vertices[1]])
else:
edges = hull.points[hull.vertices]
farthest_points = [None, None]
max_distance = 0
i, j = 0, 0
for k, p in enumerate(hull.vertices):
q = hull.points[p]
while dist(q, edges[i]) < dist(q, edges[(i+1)%len(edges)]):
i = (i+1)%len(edges)
while dist(q, edges[j]) < dist(q, edges[(j+1)%len(edges)]):
j = (j+1)%len(edges)
d = dist(q, edges[i]) ** 2 + dist(q, edges[j]) ** 2
if d > max_distance:
max_distance = d
farthest_points[0] = edges[i]
farthest_points[1] = edges[j]
return dist(*farthest_points)
points = np.random.rand(10, 2) # 随机生成 10 个点
hull = ConvexHull(points)
print("凸包直径:", diameter(hull))
```
这个代码示例中,我们先随机生成了 10 个点,然后使用 scipy 库的 ConvexHull 函数求解凸包。接着,我们使用旋转卡壳算法求解凸包直径,最后输出结果。