给出考虑建筑物高度限制的具体matlab代码
时间: 2024-01-30 18:01:44 浏览: 17
下面是一个考虑建筑物高度限制的matlab代码实现,基于Dijkstra算法:
```matlab
function [path, total_cost] = dijkstra_with_height(map, start, goal)
% map: 网格地图,0表示可以通过,1表示障碍物
% start: 起点坐标
% goal: 终点坐标
% path: 最短路径,包含起点和终点
% total_cost: 最短路径的总代价
[nrows, ncols] = size(map);
start_idx = sub2ind([nrows, ncols, 2], start(1), start(2), 0);
goal_idx = sub2ind([nrows, ncols, 2], goal(1), goal(2), 0);
% 计算节点之间的距离和高度差的代价
dx = repmat((1:ncols), nrows, 1) - goal(2);
dy = repmat((1:nrows)', 1, ncols) - goal(1);
dist = sqrt(dx.^2 + dy.^2);
height_cost = repmat(map>10, [1, 1, 2]) * Inf;
height_cost(:, :, 1) = 0;
% 计算起点到每个节点的代价
cost = Inf(nrows, ncols, 2);
cost(start_idx) = 0;
visited = false(nrows, ncols, 2);
% 逐步扩展节点
while ~visited(goal_idx)
% 找到代价最小的节点
[~, idx] = min(cost(:));
[current_row, current_col, current_h] = ind2sub([nrows, ncols, 2], idx);
visited(idx) = true;
if idx == goal_idx
break;
end
% 扩展相邻节点
for drow = -1:1
for dcol = -1:1
if drow==0 && dcol==0
continue;
end
row = current_row + drow;
col = current_col + dcol;
if row < 1 || row > nrows || col < 1 || col > ncols
continue;
end
if visited(row, col, current_h+1)
continue;
end
if map(row, col) == 1
continue;
end
% 计算到相邻节点的代价
next_idx = sub2ind([nrows, ncols, 2], row, col, current_h);
next_cost = cost(idx) + dist(row, col) + height_cost(row, col, current_h+1);
if next_cost < cost(next_idx)
cost(next_idx) = next_cost;
parent(next_idx) = idx;
end
% 考虑高度差的代价
if current_h == 0 && map(row, col) > 10
next_idx = sub2ind([nrows, ncols, 2], row, col, 1);
next_cost = cost(idx) + dist(row, col) + height_cost(row, col, 2);
if next_cost < cost(next_idx)
cost(next_idx) = next_cost;
parent(next_idx) = idx;
end
elseif current_h == 1
next_idx = sub2ind([nrows, ncols, 2], row, col, 0);
next_cost = cost(idx) + dist(row, col) + height_cost(row, col, 1);
if next_cost < cost(next_idx)
cost(next_idx) = next_cost;
parent(next_idx) = idx;
end
end
end
end
end
% 从终点回溯到起点,构造最短路径
path = [goal_idx];
while path(1) ~= start_idx
path = [parent(path(1)), path];
end
path = [start_idx, path];
total_cost = cost(goal_idx);
```
这个代码实现了一个基于Dijkstra算法的求解最短路径的算法,考虑了建筑物高度的限制。具体来说,每个节点的状态定义为一个三元组(x,y,h),其中(x,y)是节点的坐标,h是无人机在该节点的高度。在扩展节点时,我们要考虑从当前节点到相邻节点的高度差是否超过10米,如果超过则不能移动。在计算代价时,我们要加上高度差的代价。