python射线法判断一个点在图形区域内外

python 实现的代码:判断一个点在图形区域内外,供大家参考,具体内容如下

# -*-encoding:utf-8 -*-

# file:class.py

#

"""

信息楼

0 123.425658,41.774177

1 123.425843,41.774166

2 123.425847,41.774119

3 123.42693,41.774062

4 123.426943,41.774099

5 123.427118,41.774089

6 123.427066,41.773548

7 123.426896,41.773544

8 123.426916,41.773920

9 123.425838,41.773965

10 123.425804,41.773585

11 123.425611,41.773595

图书馆

0 123.425649,41.77303

1 123.426656,41.772993

2 123.426611,41.772398

3 123.425605,41.772445

"""

class Point:

lat = ''

lng = ''

def __init__(self,lat,lng):

self.lat = lat #纬度

self.lng = lng #经度

def show(self):

print self.lat," ",self.lng

#将信息楼的边界点实例化并存储到points1里

point0 = Point(123.425658,41.774177)

point1 = Point(123.425843,41.774166)

point2 = Point(123.425847,41.774119)

point3 = Point(123.42693,41.774062)

point4 = Point(123.426943,41.774099)

point5 = Point(123.427118,41.774089)

point6 = Point(123.427066,41.773548)

point7 = Point(123.426896,41.773544)

point8 = Point(123.426916,41.773920)

point9 = Point(123.425838,41.773961)

point10 = Point(123.425804,41.773585)

point11 = Point(123.425611,41.773595)

points1 = [point0,point1,point2,point3,

point4,point5,point6,point7,

point8,point9,point10,point11,

]

#将图书馆的边界点实例化并存储到points2里

point0 = Point(123.425649,41.77303)

point1 = Point(123.426656,41.772993)

point2 = Point(123.426611,41.772398)

point3 = Point(123.425605,41.772445)

points2 = [point0,point1,point2,point3]

'''

将points1和points2存储到points里,

points可以作为参数传入

'''

points = [points1,points2]

'''

输入一个测试点,这个点通过GPS产生

建议输入三个点测试

在信息学馆内的点:123.4263790000,41.7740520000 123.42699,41.773592

在图书馆内的点: 123.4261550000,41.7726740000 123.42571,41.772499 123.425984,41.772919

不在二者内的点: 123.4246270000,41.7738130000

在信息学馆外包矩形内,但不在信息学馆中的点:123.4264060000,41.7737860000

'''

#lat = raw_input(please input lat)

#lng = raw_input(please input lng)

lat = 123.42699

lng = 41.773592

point = Point(lat,lng)

debug = raw_input("请输入debug")

if debug == '1':

debug = True

else:

debug = False

#求外包矩形

def getPolygonBounds(points):

length = len(points)

#top down left right 都是point类型

top = down = left = right = points[0]

for i in range(1,length):

if points[i].lng > top.lng:

top = points[i]

elif points[i].lng < down.lng:

down = points[i]

else:

pass

if points[i].lat > right.lat:

right = points[i]

elif points[i].lat < left.lat:

left = points[i]

else:

pass

point0 = Point(left.lat,top.lng)

point1 = Point(right.lat,top.lng)

point2 = Point(right.lat,down.lng)

point3 = Point(left.lat,down.lng)

polygonBounds = [point0,point1,point2,point3]

return polygonBounds

#测试求外包矩形的一段函数

if debug:

poly1 = getPolygonBounds(points[0])

print "第一个建筑的外包是:"

for i in range(0,len(poly1)):

poly1[i].show()

poly2 = getPolygonBounds(points[1])

print "第二个建筑的外包是:"

for i in range(0,len(poly2)):

poly2[i].show()

#判断点是否在外包矩形外

def isPointInRect(point,polygonBounds):

if point.lng >= polygonBounds[3].lng and \

point.lng <= polygonBounds[0].lng and \

point.lat >= polygonBounds[3].lat and \

point.lat <= polygonBounds[2].lat:\

return True

else:

return False

#测试是否在外包矩形外的代码

if debug:

if(isPointInRect(point,poly1)):

print "在信息外包矩形内"

else:

print "在信息外包矩形外"

if(isPointInRect(point,poly2)):

print "在图书馆外包矩形内"

else:

print "在图书馆外包矩形外"

#采用射线法,计算测试点是否任意一个建筑内

def isPointInPolygon(point,points):

#定义在边界上或者在顶点都建筑内

Bound = Vertex = True

count = 0

precision = 2e-10

#首先求外包矩形

polygonBounds = getPolygonBounds(points)

#然后判断是否在外包矩形内,如果不在,直接返回false

if not isPointInRect(point, polygonBounds):

if debug:

print "在外包矩形外"

return False

else:

if debug:

print "在外包矩形内"

length = len(points)

p = point

p1 = points[0]

for i in range(1,length):

if p.lng == p1.lng and p.lat == p1.lat:

if debug:

print "Vertex1"

return Vertex

p2 = points[i % length]

if p.lng == p2.lng and p.lat == p2.lat:

if dubug:

print "Vertex2"

return Vertex

if debug:

print i-1,i

print "p:"

p.show()

print "p1:"

p1.show()

print "p2:"

p2.show()

if p.lng < min(p1.lng,p2.lng) or \

p.lng > max(p1.lng,p2.lng) or \

p.lat > max(p1.lat,p2.lat):

p1 = p2

if debug:

print "Outside"

continue

elif p.lng > min(p1.lng,p2.lng) and \

p.lng < max(p1.lng,p2.lng):

if p1.lat == p2.lat:

if p.lat == p1.lat and \

p.lng > min(p1.lng,p2.lng) and \

p.lng < max(p1.lng,p2.lng):

return Bound

else:

count = count + 1

if debug:

print "count1:",count

continue

if debug:

print "into left or right"

a = p2.lng - p1.lng

b = p1.lat - p2.lat

c = p2.lat * p1.lng - p1.lat * p2.lng

d = a * p.lat + b * p.lng + c

if p1.lng < p2.lng and p1.lat > p2.lat or \

p1.lng < p2.lng and p1.lat < p2.lat:

if d < 0:

count = count + 1

if debug:

print "count2:",count

elif d > 0:

p1 = p2

continue

elif abs(p.lng-d) < precision :

return Bound

else :

if d < 0:

p1 = p2

continue

elif d > 0:

count = count + 1

if debug:

print "count3:",count

elif abs(p.lng-d) < precision :

return Bound

else:

if p1.lng == p2.lng:

if p.lng == p1.lng and \

p.lat > min(p1.lat,p2.lat) and \

p.lat < max(p1.lat,p2.lat):

return Bound

else:

p3 = points[(i+1) % length]

if p.lng < min(p1.lng,p3.lng) or \

p.lng > max(p1.lng,p3.lng):

count = count + 2

if debug:

print "count4:",count

else:

count = count + 1

if debug:

print "count5:",count

p1 = p2

if count % 2 == 0 :

return False

else :

return True

length = len(points)

flag = 0

for i in range(length):

if isPointInPolygon(point,points[i]):

print "你刚才输入的点在第 %d 个建筑里" % (i+1)

print "然后根据i值,可以读出建筑名,或者修改传入的points参数"

break

else:

flag = flag + 1

if flag == length:

print "在头 %d 建筑外" % (i+1)

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