利用altitudes = np.zeros((GRID_SIZE, GRID_SIZE)) for i in range(GRID_SIZE): for j in range(GRID_SIZE): altitudes[i][j] = noise.pnoise2(i/scale, j/scale, octaves=octaves, persistence=persistence, lacunarity=lacunarity, repeatx=GRID_SIZE, repeaty=GRID_SIZE, base=seed)生成曲面,在该曲面上利用函数:def dijkstra(start, end, graph): # 创建一个优先队列 queue = PriorityQueue() # 将起点添加到队列中 queue.put((0, start)) # 创建一个字典来存储每个节点的最短距离 distances = {start: 0} # 创建一个字典来存储每个节点的前一个节点 predecessors = {start: None} # 当队列不为空时 while not queue.empty(): # 取出队列中最小的节点 current = queue.get()[1] # 如果当前节点就是终点,则结束算法 if current == end: break # 遍历相邻节点 for neighbor in graph[current]: # 计算当前节点到相邻节点的距离 distance = distances[current] + neighbor[1] # 如果距离比之前计算的距离更短,则更新距离和前一个节点 if neighbor[0] not in distances or distance < distances[neighbor[0]]: distances[neighbor[0]] = distance predecessors[neighbor[0]] = current # 将相邻节点加入队列中 queue.put((distance, neighbor[0])) # 如果终点不在图中,则返回空列表 if end not in distances: return [] # 从终点开始追溯路径 path = [end] while path[-1] != start: path.append(predecessors[path[-1]]) # 反转路径,使其从起点到终点 path.reverse() return path, distances[end]找到三维曲面上到五个曲面上的点的距离和最短的最佳选址
时间: 2024-02-19 13:59:30 浏览: 124
首先,你需要将altitudes数组转换为一个图形结构,以便使用dijkstra算法计算每个点到其它点的最短路径。可以将每个点看作图中的一个节点,每个节点与其周围的节点连接,权重为它们之间的欧几里得距离。这样,你就可以使用dijkstra算法计算每个节点到其它节点的最短路径。下面是一种可能的实现方式:
```
import numpy as np
from scipy.spatial.distance import pdist, squareform
from queue import PriorityQueue
# 将altitudes数组转换为一个图形结构
distances = squareform(pdist(np.vstack([np.arange(GRID_SIZE), altitudes]).T))
# 构造图形结构
graph = {}
for i in range(GRID_SIZE):
for j in range(GRID_SIZE):
node = i * GRID_SIZE + j
neighbors = []
if i > 0:
neighbors.append((node - GRID_SIZE, distances[node - GRID_SIZE, node]))
if i < GRID_SIZE - 1:
neighbors.append((node + GRID_SIZE, distances[node + GRID_SIZE, node]))
if j > 0:
neighbors.append((node - 1, distances[node - 1, node]))
if j < GRID_SIZE - 1:
neighbors.append((node + 1, distances[node + 1, node]))
graph[node] = neighbors
# 使用dijkstra算法计算最短路径
start = ... # 起点
end1 = ... # 曲面1上的点
end2 = ... # 曲面2上的点
end3 = ... # 曲面3上的点
end4 = ... # 曲面4上的点
end5 = ... # 曲面5上的点
path1, dist1 = dijkstra(start, end1, graph)
path2, dist2 = dijkstra(start, end2, graph)
path3, dist3 = dijkstra(start, end3, graph)
path4, dist4 = dijkstra(start, end4, graph)
path5, dist5 = dijkstra(start, end5, graph)
# 计算最短距离和最佳选址
distances = [dist1, dist2, dist3, dist4, dist5]
min_dist = float('inf')
best_site = None
for i in range(GRID_SIZE):
for j in range(GRID_SIZE):
node = i * GRID_SIZE + j
dist = sum([dijkstra(node, end, graph)[1] for end in [end1, end2, end3, end4, end5]])
if dist < min_dist:
min_dist = dist
best_site = (i, j)
print('最短距离:', min_dist)
print('最佳选址:', best_site)
```
其中,start是起点,end1到end5是曲面上的五个点。在上述代码中,我们将altitudes数组转换为一个图形结构,并使用dijkstra算法计算每个点到曲面上的五个点的最短路径。然后,我们遍历整个网格,计算每个点到曲面上的五个点的最短距离之和,并找到距离最短的点作为最佳选址。
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