编程实现表边填充算法,并显示对每一条边进行处理的中间结果,然后输出图形
时间: 2024-10-11 13:10:25 浏览: 20
表边填充算法,也称为邻接矩阵填充或图的遍历,通常用于描述图形结构,如八邻域、四邻域等。这里我们以简单的二维数组(邻接矩阵)为例,展示如何用Python编写并逐步显示填充过程。
```python
# 假设我们的邻接矩阵表示一个5x5的网格,0代表空位,1代表有墙(障碍)
grid = [[0, 1, 0, 0, 0],
[0, 0, 0, 1, 0],
[0, 0, 0, 0, 0],
[1, 0, 0, 0, 1],
[0, 0, 1, 0, 0]]
def fill_neighbors(grid, x, y):
visited = set()
stack = [(x, y)] # 初始化栈,存放待访问的位置
while stack:
current_x, current_y = stack.pop() # 弹出栈顶元素
if (current_x, current_y) not in visited:
print(f"Visiting {current_x}, {current_y}")
visited.add((current_x, current_y))
# 打印当前状态,假设*代表已访问,.代表未访问
for dx, dy in [(0, -1), (-1, 0), (0, 1), (1, 0), (1, 1), (-1, 1), (-1, -1)]: # 八邻域
nx, ny = current_x + dx, current_y + dy
if 0 <= nx < len(grid) and 0 <= ny < len(grid[0]) and grid[nx][ny] == 0:
print("*", end="") # 标记为已访问
else:
print(".", end="")
print("\n") # 换行
if grid[current_x][current_y] == 0: # 如果当前位置是空位,探索其相邻位置
neighbors = [(current_x + 1, current_y), (current_x, current_y + 1), (current_x - 1, current_y), (current_x, current_y - 1)]
stack.extend(filter(lambda p: 0 <= p[0] < len(grid) and 0 <= p[1] < len(grid[0]), neighbors))
fill_neighbors(grid, 0, 0)
```
运行上述代码后,你会看到每个步骤中边缘节点的填充情况。注意,这只是一个基本示例,实际应用可能需要更复杂的边界条件检查和循环控制。
阅读全文