如果有任何坐标落在彼此之间的特定距离内,我如何确定哪些坐标?

如何解决如果有任何坐标落在彼此之间的特定距离内,我如何确定哪些坐标?

from math import radians,cos,sin,asin,sqrt

df = pd.DataFrame(columns=['Id','Feature','Lat','Long'])
df['Id'] = [0,1,2,3,4,5,6,7,8,9,10,11]
df['Feature'] = ['Truck','Truck','Van','Car','Car']
df['Lat'] = [39.57713,39.57723,39.57671,39.57672,39.57697,39.57188,39.57151,39.57153,39.57197,39.57613,39.57577,39.57595]
df['Long'] = [46.87062,46.87004,46.87001,46.87066,46.87027,46.87489,46.87482,46.8752,46.87528,46.8757,46.87572,46.87545]

def haversine(lon1,lat1,lon2,lat2):
    """
    Calculate the great circle distance between two points 
    on the earth (specified in decimal degrees)
    """
    # convert decimal degrees to radians 
    lon1,lat2 = map(radians,[lon1,lat2])
    # haversine formula 
    dlon = lon2 - lon1 
    dlat = lat2 - lat1 
    a = sin(dlat/2)**2 + cos(lat1) * cos(lat2) * sin(dlon/2)**2
    c = 2 * asin(sqrt(a)) 
    # Radius of earth in meters is 6371000
    distance = 6371000* c
    return distance

我如何查看 420 米范围内的卡车/货车 ID、655 米范围内的卡车/货车 ID 以及 425 米范围内的汽车/货车 ID?

理想的输出是:

卡车 3 位于汽车 11 的距离内

Truck 3 在 Van 5 的距离内

10 号车在 Van 8 的距离内

解决方法

您可以使用 pd.merge(how='cross') 生成您想要的所有对:

>>> groups = df.groupby('Feature')
>>> pd.merge(groups.get_group('Car'),groups.get_group('Truck'),how='cross',suffixes=('','_cmp'))
    Id Feature       Lat      Long  Id_cmp Feature_cmp   Lat_cmp  Long_cmp
0    9     Car  39.57613  46.87570       0       Truck  39.57713  46.87062
1    9     Car  39.57613  46.87570       1       Truck  39.57723  46.87004
2    9     Car  39.57613  46.87570       2       Truck  39.57671  46.87001
3    9     Car  39.57613  46.87570       3       Truck  39.57672  46.87066
4    9     Car  39.57613  46.87570       4       Truck  39.57697  46.87027
5   10     Car  39.57577  46.87572       0       Truck  39.57713  46.87062
6   10     Car  39.57577  46.87572       1       Truck  39.57723  46.87004
7   10     Car  39.57577  46.87572       2       Truck  39.57671  46.87001
8   10     Car  39.57577  46.87572       3       Truck  39.57672  46.87066
9   10     Car  39.57577  46.87572       4       Truck  39.57697  46.87027
10  11     Car  39.57595  46.87545       0       Truck  39.57713  46.87062
11  11     Car  39.57595  46.87545       1       Truck  39.57723  46.87004
12  11     Car  39.57595  46.87545       2       Truck  39.57671  46.87001
13  11     Car  39.57595  46.87545       3       Truck  39.57672  46.87066
14  11     Car  39.57595  46.87545       4       Truck  39.57697  46.87027

这允许轻松生成我们想要进行的所有比较:

>>> distances = {('Car','Truck'): 420,('Truck','Van'): 655,('Car','Van'): 425}
>>> all_cmp = pd.concat([pd.merge(groups.get_group(dist_from),groups.get_group(dist_to),'_cmp')) for dist_from,dist_to in distances])
>>> all_cmp.head()
   Id Feature       Lat     Long  Id_cmp Feature_cmp   Lat_cmp  Long_cmp
0   9     Car  39.57613  46.8757       0       Truck  39.57713  46.87062
1   9     Car  39.57613  46.8757       1       Truck  39.57723  46.87004
2   9     Car  39.57613  46.8757       2       Truck  39.57671  46.87001
3   9     Car  39.57613  46.8757       3       Truck  39.57672  46.87066
4   9     Car  39.57613  46.8757       4       Truck  39.57697  46.87027
>>> all_cmp.tail()
    Id Feature       Lat      Long  Id_cmp Feature_cmp   Lat_cmp  Long_cmp
7   10     Car  39.57577  46.87572       8         Van  39.57197  46.87528
8   11     Car  39.57595  46.87545       5         Van  39.57188  46.87489
9   11     Car  39.57595  46.87545       6         Van  39.57151  46.87482
10  11     Car  39.57595  46.87545       7         Van  39.57153  46.87520
11  11     Car  39.57595  46.87545       8         Van  39.57197  46.87528

我们可以很容易地计算距离,我们还需要对齐阈值距离:

>>> dist = all_cmp.agg(lambda s: haversine(s['Lat'],s['Long'],s['Lat_cmp'],s['Long_cmp']),axis='columns')
>>> thresh = all_cmp[['Feature','Feature_cmp']].agg(lambda s: distances[tuple(s)],axis='columns')

从那里开始比较,保留你想要的行,可能聚合:

>>> all_cmp[dist < thresh]
    Id Feature       Lat      Long  Id_cmp Feature_cmp   Lat_cmp  Long_cmp
0    0   Truck  39.57713  46.87062       5         Van  39.57188  46.87489
1    0   Truck  39.57713  46.87062       6         Van  39.57151  46.87482
3    0   Truck  39.57713  46.87062       8         Van  39.57197  46.87528
12   3   Truck  39.57672  46.87066       5         Van  39.57188  46.87489
13   3   Truck  39.57672  46.87066       6         Van  39.57151  46.87482
14   3   Truck  39.57672  46.87066       7         Van  39.57153  46.87520
15   3   Truck  39.57672  46.87066       8         Van  39.57197  46.87528
16   4   Truck  39.57697  46.87027       5         Van  39.57188  46.87489
17   4   Truck  39.57697  46.87027       6         Van  39.57151  46.87482
0    9     Car  39.57613  46.87570       5         Van  39.57188  46.87489
1    9     Car  39.57613  46.87570       6         Van  39.57151  46.87482
2    9     Car  39.57613  46.87570       7         Van  39.57153  46.87520
3    9     Car  39.57613  46.87570       8         Van  39.57197  46.87528
4   10     Car  39.57577  46.87572       5         Van  39.57188  46.87489
5   10     Car  39.57577  46.87572       6         Van  39.57151  46.87482
6   10     Car  39.57577  46.87572       7         Van  39.57153  46.87520
7   10     Car  39.57577  46.87572       8         Van  39.57197  46.87528
8   11     Car  39.57595  46.87545       5         Van  39.57188  46.87489
9   11     Car  39.57595  46.87545       6         Van  39.57151  46.87482
10  11     Car  39.57595  46.87545       7         Van  39.57153  46.87520
11  11     Car  39.57595  46.87545       8         Van  39.57197  46.87528
>>> close = all_cmp[dist < thresh].groupby('Id')['Id_cmp'].agg(list)
>>> close
Id
0        [5,6,8]
3     [5,7,8]
4           [5,6]
9     [5,8]
10    [5,8]
11    [5,8]
Name: Id_cmp,dtype: object
>>> df.merge(close.rename('within dist').reset_index())
   Id Feature       Lat      Long   within dist
0   0   Truck  39.57713  46.87062     [5,8]
1   3   Truck  39.57672  46.87066  [5,8]
2   4   Truck  39.57697  46.87027        [5,6]
3   9     Car  39.57613  46.87570  [5,8]
4  10     Car  39.57577  46.87572  [5,8]
5  11     Car  39.57595  46.87545  [5,8]

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