如何获得每个散点的等高线图？

Question

我已将等高线图绘制为背景，表示该区域的高度。

设置100个散点代表真实的污染物排放源。有没有办法获得每个点的高度？

这是我的代码：

%matplotlib inline

fig=plt.figure(figsize=(16,16))
ax=plt.subplot()
xi,yi = np.linspace(195.2260,391.2260,50),          
np.linspace(4108.9341,4304.9341,50)
height=np.array(list(csv.reader(open("/Users/HYF/Documents/SJZ_vis/Concentration/work/terr_grd.csv","rb"),delimiter=','))).astype('float')
cmap = cm.get_cmap(name='terrain', lut=None)
terrf = plt.contourf(xi, yi, height,100, cmap=cmap)
terr = plt.contour(xi, yi, height, 100,
             colors='k',alpha=0.5
             )
plt.clabel(terr, fontsize=7, inline=20)
ax.autoscale(False)
point= plt.scatter(dat_so2["xp"], dat_so2["yp"], marker='o',c="grey",s=40)


ax.autoscale(False)
for i in range(0,len(dat_so2["xp"]),1):
    plt.text(dat_so2["xp"][i], dat_so2["yp"][i],     
    str(i),color="White",fontsize=16)

ax.set_xlim(225,275)
ax.set_ylim(4200,4260)

plt.show()

Answer 1

您可以使用scipy.interpolate.interp2d

执行此操作

例如，您可以添加到您的代码中：

from scipy import interpolate
hfunc = interpolate.interp2d(xi,yi,height)

pointheights = np.zeros(dat_so2["xp"].shape)
for i,(x,y) in enumerate(zip(dat_so2["xp"],dat_so2["yp"])):
    pointheights[i]=hfunc(x,y)

将这些内容与其余的脚本以及一些示例数据放在一起，给出了这个（我在这里简化了一些事情，但是你明白了）：

import matplotlib.pyplot as plt
import matplotlib.cm as cm
import numpy as np
from scipy import interpolate

fig=plt.figure(figsize=(8,8))
ax=plt.subplot()
#xi,yi = np.linspace(195.2260,391.2260,50),np.linspace(4108.9341,4304.9341,50)
xi,yi = np.linspace(225,275,50),np.linspace(4200,4260,50)

# A made up function of height (in place of your data)
XI,YI = np.meshgrid(xi,yi)
height = (XI-230.)**2 + (YI-4220.)**2
#height=np.array(list(csv.reader(open("/Users/HYF/Documents/SJZ_vis/Concentration/work/terr_grd.csv","rb"),delimiter=','))).astype('float')

cmap = cm.get_cmap(name='terrain', lut=None)
terrf = plt.contourf(xi, yi, height,10, cmap=cmap)
terr = plt.contour(xi, yi, height, 10,
             colors='k',alpha=0.5
             )
plt.clabel(terr, fontsize=7, inline=20)
ax.autoscale(False)

# Some made up sample points
dat_so2 = np.array([(230,4210),(240,4220),(250,4230),(260,4240),(270,4250)],dtype=[("xp","f4"),("yp","f4")]) 

point= plt.scatter(dat_so2["xp"], dat_so2["yp"], marker='o',c="grey",s=40)

# The interpolation function
hfunc = interpolate.interp2d(xi,yi,height)

# Now, for each point, lets interpolate the height
pointheights = np.zeros(dat_so2["xp"].shape)
for i,(x,y) in enumerate(zip(dat_so2["xp"],dat_so2["yp"])):
    pointheights[i]=hfunc(x,y)
print pointheights


ax.autoscale(False)
for i in range(0,len(dat_so2["xp"]),1):
    plt.text(dat_so2["xp"][i], dat_so2["yp"][i],     
             str(i),color="White",fontsize=16)
    # We can also add a height label to the plot
    plt.text(dat_so2["xp"][i], dat_so2["yp"][i],     
             "{:4.1f}".format(pointheights[i]),color="black",fontsize=16,ha='right',va='top')


ax.set_xlim(225,275)
ax.set_ylim(4200,4260)

plt.show()