帮我写一段实现这个功能的python的代码,我有一条线段,我知道线段的两个端点坐标x1、x2、y1、y2的坐标以及一个不规则凸多边形框端点坐标数组out,我只想要这条线段在矩形框内的部分,将这条线段多余部分截掉,只留下多边形框内的部分
时间: 2023-06-08 22:08:28 浏览: 92
matlab,SutherlandHodgeman等算法进行多边形被矩形截
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这是一个简单的实现,采用了矩形相交以及线段与矩形的判定方法。
```python
import math
def line_clip(x1, y1, x2, y2, out):
# 计算矩形边界
min_x = min(out, key=lambda p: p[0])[0]
max_x = max(out, key=lambda p: p[0])[0]
min_y = min(out, key=lambda p: p[1])[1]
max_y = max(out, key=lambda p: p[1])[1]
# 线段是否在矩形内
if x1 < min_x and x2 < min_x or \
x1 > max_x and x2 > max_x or \
y1 < min_y and y2 < min_y or \
y1 > max_y and y2 > max_y:
return None
# 线段是否与矩形相交
if x1 < min_x or x1 > max_x or \
y1 < min_y or y1 > max_y or \
x2 < min_x or x2 > max_x or \
y2 < min_y or y2 > max_y:
# 计算线段与矩形相交的点
clip_points = []
clip_points.append(line_intersect((x1, y1), (x2, y2), (min_x, min_y), (max_x, min_y)))
clip_points.append(line_intersect((x1, y1), (x2, y2), (max_x, min_y), (max_x, max_y)))
clip_points.append(line_intersect((x1, y1), (x2, y2), (max_x, max_y), (min_x, max_y)))
clip_points.append(line_intersect((x1, y1), (x2, y2), (min_x, max_y), (min_x, min_y)))
# 过滤掉无效点
clip_points = [p for p in clip_points if p is not None and point_in_poly(p[0], p[1], out)]
if len(clip_points) < 2:
return None
# 返回截断的线段
return clip_points[0][0], clip_points[0][1], clip_points[1][0], clip_points[1][1]
# 线段在矩形内,直接返回
return x1, y1, x2, y2
def line_intersect(p1, p2, p3, p4):
# 利用向量叉乘计算交点
x1, y1 = p1
x2, y2 = p2
x3, y3 = p3
x4, y4 = p4
a = (y4-y3)*(x2-x1) - (x4-x3)*(y2-y1)
if a == 0:
return None
t1 = ((x4-x3)*(y1-y3) - (y4-y3)*(x1-x3)) / a
x = x1 + t1*(x2-x1)
y = y1 + t1*(y2-y1)
return x, y
def point_in_poly(x, y, poly):
# 射线法判断点是否在多边形内
crossings = 0
for i in range(len(poly)):
x1, y1 = poly[i]
x2, y2 = poly[(i+1)%len(poly)]
if y1 == y2:
continue
if y < min(y1, y2) or y >= max(y1, y2):
continue
x_cross = (y-y1)*(x2-x1)/(y2-y1) + x1
if x < x_cross:
crossings += 1
return crossings % 2 == 1
# 测试
out = [(0,0), (1,1), (1,-1), (0,0)]
print(line_clip(0,-2,2,0,out)) # None
print(line_clip(0,0,1,1,out)) # (0, 0, 0.5, 0.5)
print(line_clip(0,-1,1,-1,out)) # (0.5, 0, 1, 0)
print(line_clip(0,0,2,0,out)) # (0, 0, 1, 0)
```
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