% 读入数据和半径 read data p read r % 遍历p outline = [] for i = 1: length(p) % 定义p0 p0 = p(0) % 定义pr pr = p(remove p0) % 定义pr_cir pr_cir = pr(inner 2*r) % 遍历pr_cir for j = 1: length(pr_cir) % 定义p1 p1 = pr_cir(0) % 定义pr_cirr pr_cirr = pr_cir(remove p1) % 计算圆心 p2 = cir1(p0,p1) p3 = cir2(p0,p1) % 计算pr_cirr到圆心的距离 for k = 1: length(pr_cirr) pk = pr_cirr(k) d1(k) = distance(p2,pk) d2(k) = distance(p3,pk) end mind1 = min(d1) mind2 = min(d2) if mind1>=r || mind2 >= r outline = [outline p1] break end end end obtain outline 将这段代码用python实现
时间: 2024-02-14 08:12:26 浏览: 27
以下是Python实现的代码:
```
import math
def cir1(p0, p1, r):
# 计算圆心1
d = math.sqrt((p1[0]-p0[0])**2 + (p1[1]-p0[1])**2)
a = math.asin(abs(p1[1]-p0[1])/d)
alpha = math.pi/2 - a
x = p0[0] + r*math.cos(alpha)
y = p0[1] + r*math.sin(alpha)
return (x,y)
def cir2(p0, p1, r):
# 计算圆心2
d = math.sqrt((p1[0]-p0[0])**2 + (p1[1]-p0[1])**2)
a = math.asin(abs(p1[1]-p0[1])/d)
alpha = math.pi/2 - a
x = p0[0] - r*math.cos(alpha)
y = p0[1] - r*math.sin(alpha)
return (x,y)
def distance(p1, p2):
# 计算两点间距离
return math.sqrt((p1[0]-p2[0])**2 + (p1[1]-p2[1])**2)
def obtain_outline(p, r):
# 获取轮廓线
outline = []
for i in range(len(p)):
# 定义p0
p0 = p[i]
# 定义pr
pr = p[:i] + p[i+1:]
# 定义pr_cir
pr_cir = [point for point in pr if distance(p0, point) <= 2*r]
# 遍历pr_cir
for j in range(len(pr_cir)):
# 定义p1
p1 = pr_cir[j]
# 定义pr_cirr
pr_cirr = [point for point in pr_cir[:j] + pr_cir[j+1:] if distance(p1, point) <= 2*r]
# 计算圆心
p2 = cir1(p0, p1, r)
p3 = cir2(p0, p1, r)
# 计算pr_cirr到圆心的距离
d1 = [distance(p2, pk) for pk in pr_cirr]
d2 = [distance(p3, pk) for pk in pr_cirr]
mind1 = min(d1)
mind2 = min(d2)
if mind1>=r or mind2>=r:
outline.append(p1)
break
return outline
# 示例数据
p = [(1,1),(2,2),(3,1),(2,4),(4,2)]
r = 1
# 调用函数获取轮廓线
outline = obtain_outline(p, r)
print(outline)
```
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