限制 cartopy 正射投影的纬度延伸
Limiting latitudinal extend of a cartopy orthographic projection
我正在尝试绘制一个球体地图，该球体具有北半球 (0-40N) 和南半球 (0-40S) 的正射投影以及中央纬度 (60N-60S) 的摩尔维德投影。我得到以下情节：
这说明了一个问题：在半球形图周围有一个带有切角的方形边界框。请注意，所有三个图的颜色范围都相同（-90 到 90）。
然而，当我在不限制其范围的情况下绘制一个半球时，我得到了一个圆形边界框，正如正射投影所期望的那样：
使用 plt.xlim(-90,-50) 会产生垂直条纹，plt.ylim(-90,-50) 会产生水平条纹，所以这也不是解决方案。
如何在保持圆形边界框的同时限制正交投影的纬度范围？
生成上图的代码：
import numpy as np
from matplotlib import pyplot as plt
import cartopy.crs as ccrs
# Create dummy data, latitude from -90(S) to 90 (N), lon from -180 to 180
theta, phi = np.meshgrid(np.arange(0,180),np.arange(0,360));
theta = -1*(theta.ravel()-90)
phi = phi.ravel()-180
radii = theta
# Make masks for hemispheres and central
mask_central = np.abs(theta) < 60
mask_north = theta > 40
mask_south = theta < -40
data_crs= ccrs.PlateCarree() # Data CRS
# Grab map projections for various plots
map_proj = ccrs.Mollweide(central_longitude=0)
map_proj_N = ccrs.Orthographic(central_longitude=0, central_latitude=90)
map_proj_S = ccrs.Orthographic(central_longitude=0, central_latitude=-90)
fig = plt.figure()
ax1 = fig.add_subplot(2, 1, 2,projection=map_proj)
im1 = ax1.scatter(phi[mask_central],
theta[mask_central],
c = radii[mask_central],
transform=data_crs,
vmin = -90,
vmax = 90,
)
ax1.set_title('Central latitudes')
ax_N = fig.add_subplot(2, 2, 1, projection=map_proj_N)
ax_N.scatter(phi[mask_north],
theta[mask_north],
c = radii[mask_north],
transform=data_crs,
vmin = -90,
vmax = 90,
)
ax_N.set_title('Northern hemisphere')
ax_S = fig.add_subplot(2, 2, 2, projection=map_proj_S)
ax_S.scatter(phi[mask_south],
theta[mask_south],
c = radii[mask_south],
transform=data_crs,
vmin = -90,
vmax = 90,
)
ax_S.set_title('Southern hemisphere')
fig = plt.figure()
ax = fig.add_subplot(111,projection = map_proj_N)
ax.scatter(phi,
theta,
c = radii,
transform=data_crs,
vmin = -90,
vmax = 90,
)
ax.set_title('Northern hemisphere')
plt.show()
matplotlib中常用的坐标轴是矩形的。然而，对于 cartopy 中的一些投影，显示一个矩形的一部分甚至没有定义是没有意义的。这些区域被包围。这样可以确保轴内容始终保持在边界内。
如果您不想这样，而是使用圆形边框，即使部分绘图可能位于圆圈之外，您也可以手动定义该圆圈：
import numpy as np
from matplotlib import pyplot as plt
import cartopy.crs as ccrs
# Create dummy data, latitude from -90(S) to 90 (N), lon from -180 to 180
theta, phi = np.meshgrid(np.arange(0,180),np.arange(0,360));
theta = -1*(theta.ravel()-90)
phi = phi.ravel()-180
# Make mask for hemisphere
mask_north = theta > 40
data_crs= ccrs.PlateCarree() # Data CRS
# Grab map projections for various plots
map_proj_N = ccrs.Orthographic(central_longitude=0, central_latitude=90)
fig = plt.figure()
ax_N = fig.add_subplot(121, projection=map_proj_N)
ax_N.scatter(phi[mask_north], theta[mask_north],
c = theta[mask_north], transform=data_crs,
vmin = -90, vmax = 90)
ax_N.set_title('Northern hemisphere')
### Remove undesired patch
ax_N.patches[0].remove()
### Create new circle around the axes:
circ = plt.Circle((.5,.5), .5, edgecolor="k", facecolor="none",
transform=ax_N.transAxes, clip_on=False)
ax_N.add_patch(circ)
#### For comparisson, plot the full data in the right subplot:
ax = fig.add_subplot(122,projection = map_proj_N)
ax.scatter(phi, theta, c = theta,
transform=data_crs, vmin = -90, vmax = 90)
ax.set_title('Northern hemisphere')
plt.show()
(1)。在您的所有绘图中，当您使用 scatter() 时，散点的大小应使用适当的 s=value 定义，否则将使用默认值。我使用 s=0.2，结果图看起来更好。
(2)。对于 'Central latitudes' 的情况，您需要指定正确的 y-limits 和 set_ylim()。这涉及到它们的计算。这里应用transform_point()的用法。
(3)。对于需要消除不需要的特征的剩余图，可以使用适当的圆形剪辑路径。在这两种情况下，它们的周长也用于绘制地图边界。正如我在代码及其输出中所展示的那样，它们的存在可能会导致绘制其他地图特征（例如海岸线）时出现问题。
# original is modified and extended
import numpy as np
from matplotlib import pyplot as plt
import cartopy.crs as ccrs
import matplotlib.patches as mpatches # need it to create clip-path
# Create dummy data, latitude from -90(S) to 90 (N), lon from -180 to 180
theta, phi = np.meshgrid(np.arange(0,180),np.arange(0,360));
theta = -1*(theta.ravel()-90)
phi = phi.ravel()-180
radii = theta
# Make masks for hemispheres and central
mask_central = np.abs(theta) < 60
mask_north = theta > 40
mask_south = theta < -40
data_crs= ccrs.PlateCarree() # Data CRS
# Grab map projections for various plots
map_proj = ccrs.Mollweide(central_longitude=0)
map_proj_N = ccrs.Orthographic(central_longitude=0, central_latitude=90)
map_proj_S = ccrs.Orthographic(central_longitude=0, central_latitude=-90)
# 'Central latitudes' plot
fig = plt.figure()
ax1 = fig.add_subplot(2, 1, 2, projection=map_proj)
# Note: Limits of plot depends on plotting data, but not exact!
im1 = ax1.scatter(phi[mask_central],
theta[mask_central],
s = 0.2,
c = radii[mask_central],
transform=data_crs,
vmin = -90,
vmax = 90,
)
# compute y limits
_, y_btm = map_proj.transform_point(0, -60, ccrs.Geodetic())
_, y_top = map_proj.transform_point(0, 60, ccrs.Geodetic())
# apply y limits
ax1.set_ylim(y_btm, y_top)
ax1.coastlines(color='k', lw=0.35)
ax1.set_title('Central latitudes')
ax_N = fig.add_subplot(2, 2, 1, projection=map_proj_N)
ax_N.scatter(phi[mask_north],
theta[mask_north],
s = 0.1, # not mandatory
c = radii[mask_north],
transform=data_crs,
vmin = -90,
vmax = 90,
)
# use a circular path as map boundary
clip_circle = mpatches.Circle(xy=[0,0], radius=4950000, facecolor='none', edgecolor='k')
ax_N.add_patch(clip_circle)
ax_N.set_boundary(clip_circle.get_path(), transform=None, use_as_clip_path=True)
# with `use_as_clip_path=True` the coastlines do not appear
ax_N.coastlines(color='k', lw=0.75, zorder=13) # not plotted!
ax_N.set_title('Northern hemisphere1')
# 'Southern hemisphere' plot
ax_S = fig.add_subplot(2, 2, 2, projection=map_proj_S)
ax_S.scatter(phi[mask_south],
theta[mask_south],
s = 0.02,
c = radii[mask_south],
transform=data_crs,
vmin = -90,
vmax = 90,
)
clip_circle = mpatches.Circle(xy=[0,0], radius=4950000, facecolor='none', edgecolor='k')
ax_S.add_patch(clip_circle)
# applying the clip-circle as boundary, but not use as clip-path
ax_S.set_boundary(clip_circle.get_path(), transform=None, use_as_clip_path=False)
# with `use_as_clip_path=False` the coastlines is plotted, but goes beyond clip-path
ax_S.coastlines(color='k', lw=0.75, zorder=13)
ax_S.set_title('Southern hemisphere')
# 'Northern hemisphere2' plot, has nice circular limit
fig = plt.figure()
ax = fig.add_subplot(111,projection = map_proj_N)
ax.scatter(phi,
theta,
s = 0.2,
c = radii,
transform=data_crs,
vmin = -90,
vmax = 90,
)
ax.coastlines(color='k', lw=0.5, zorder=13)
ax.set_title('Northern hemisphere2')
ax.set_global()
plt.show()
输出图：
我正在尝试绘制一个球体地图，该球体具有北半球 (0-40N) 和南半球 (0-40S) 的正射投影以及中央纬度 (60N-60S) 的摩尔维德投影。我得到以下情节：
这说明了一个问题：在半球形图周围有一个带有切角的方形边界框。请注意，所有三个图的颜色范围都相同（-90 到 90）。
然而，当我在不限制其范围的情况下绘制一个半球时，我得到了一个圆形边界框，正如正射投影所期望的那样：
使用 plt.xlim(-90,-50) 会产生垂直条纹，plt.ylim(-90,-50) 会产生水平条纹，所以这也不是解决方案。
如何在保持圆形边界框的同时限制正交投影的纬度范围？
生成上图的代码：
import numpy as np
from matplotlib import pyplot as plt
import cartopy.crs as ccrs
# Create dummy data, latitude from -90(S) to 90 (N), lon from -180 to 180
theta, phi = np.meshgrid(np.arange(0,180),np.arange(0,360));
theta = -1*(theta.ravel()-90)
phi = phi.ravel()-180
radii = theta
# Make masks for hemispheres and central
mask_central = np.abs(theta) < 60
mask_north = theta > 40
mask_south = theta < -40
data_crs= ccrs.PlateCarree() # Data CRS
# Grab map projections for various plots
map_proj = ccrs.Mollweide(central_longitude=0)
map_proj_N = ccrs.Orthographic(central_longitude=0, central_latitude=90)
map_proj_S = ccrs.Orthographic(central_longitude=0, central_latitude=-90)
fig = plt.figure()
ax1 = fig.add_subplot(2, 1, 2,projection=map_proj)
im1 = ax1.scatter(phi[mask_central],
theta[mask_central],
c = radii[mask_central],
transform=data_crs,
vmin = -90,
vmax = 90,
)
ax1.set_title('Central latitudes')
ax_N = fig.add_subplot(2, 2, 1, projection=map_proj_N)
ax_N.scatter(phi[mask_north],
theta[mask_north],
c = radii[mask_north],
transform=data_crs,
vmin = -90,
vmax = 90,
)
ax_N.set_title('Northern hemisphere')
ax_S = fig.add_subplot(2, 2, 2, projection=map_proj_S)
ax_S.scatter(phi[mask_south],
theta[mask_south],
c = radii[mask_south],
transform=data_crs,
vmin = -90,
vmax = 90,
)
ax_S.set_title('Southern hemisphere')
fig = plt.figure()
ax = fig.add_subplot(111,projection = map_proj_N)
ax.scatter(phi,
theta,
c = radii,
transform=data_crs,
vmin = -90,
vmax = 90,
)
ax.set_title('Northern hemisphere')
plt.show()
matplotlib中常用的坐标轴是矩形的。然而，对于 cartopy 中的一些投影，显示一个矩形的一部分甚至没有定义是没有意义的。这些区域被包围。这样可以确保轴内容始终保持在边界内。
如果您不想这样，而是使用圆形边框，即使部分绘图可能位于圆圈之外，您也可以手动定义该圆圈：
import numpy as np
from matplotlib import pyplot as plt
import cartopy.crs as ccrs
# Create dummy data, latitude from -90(S) to 90 (N), lon from -180 to 180
theta, phi = np.meshgrid(np.arange(0,180),np.arange(0,360));
theta = -1*(theta.ravel()-90)
phi = phi.ravel()-180
# Make mask for hemisphere
mask_north = theta > 40
data_crs= ccrs.PlateCarree() # Data CRS
# Grab map projections for various plots
map_proj_N = ccrs.Orthographic(central_longitude=0, central_latitude=90)
fig = plt.figure()
ax_N = fig.add_subplot(121, projection=map_proj_N)
ax_N.scatter(phi[mask_north], theta[mask_north],
c = theta[mask_north], transform=data_crs,
vmin = -90, vmax = 90)
ax_N.set_title('Northern hemisphere')
### Remove undesired patch
ax_N.patches[0].remove()
### Create new circle around the axes:
circ = plt.Circle((.5,.5), .5, edgecolor="k", facecolor="none",
transform=ax_N.transAxes, clip_on=False)
ax_N.add_patch(circ)
#### For comparisson, plot the full data in the right subplot:
ax = fig.add_subplot(122,projection = map_proj_N)
ax.scatter(phi, theta, c = theta,
transform=data_crs, vmin = -90, vmax = 90)
ax.set_title('Northern hemisphere')
plt.show()
(1)。在您的所有绘图中，当您使用 scatter() 时，散点的大小应使用适当的 s=value 定义，否则将使用默认值。我使用 s=0.2，结果图看起来更好。
(2)。对于 'Central latitudes' 的情况，您需要指定正确的 y-limits 和 set_ylim()。这涉及到它们的计算。这里应用transform_point()的用法。
(3)。对于需要消除不需要的特征的剩余图，可以使用适当的圆形剪辑路径。在这两种情况下，它们的周长也用于绘制地图边界。正如我在代码及其输出中所展示的那样，它们的存在可能会导致绘制其他地图特征（例如海岸线）时出现问题。
# original is modified and extended
import numpy as np
from matplotlib import pyplot as plt
import cartopy.crs as ccrs
import matplotlib.patches as mpatches # need it to create clip-path
# Create dummy data, latitude from -90(S) to 90 (N), lon from -180 to 180
theta, phi = np.meshgrid(np.arange(0,180),np.arange(0,360));
theta = -1*(theta.ravel()-90)
phi = phi.ravel()-180
radii = theta
# Make masks for hemispheres and central
mask_central = np.abs(theta) < 60
mask_north = theta > 40
mask_south = theta < -40
data_crs= ccrs.PlateCarree() # Data CRS
# Grab map projections for various plots
map_proj = ccrs.Mollweide(central_longitude=0)
map_proj_N = ccrs.Orthographic(central_longitude=0, central_latitude=90)
map_proj_S = ccrs.Orthographic(central_longitude=0, central_latitude=-90)
# 'Central latitudes' plot
fig = plt.figure()
ax1 = fig.add_subplot(2, 1, 2, projection=map_proj)
# Note: Limits of plot depends on plotting data, but not exact!
im1 = ax1.scatter(phi[mask_central],
theta[mask_central],
s = 0.2,
c = radii[mask_central],
transform=data_crs,
vmin = -90,
vmax = 90,
)
# compute y limits
_, y_btm = map_proj.transform_point(0, -60, ccrs.Geodetic())
_, y_top = map_proj.transform_point(0, 60, ccrs.Geodetic())
# apply y limits
ax1.set_ylim(y_btm, y_top)
ax1.coastlines(color='k', lw=0.35)
ax1.set_title('Central latitudes')
ax_N = fig.add_subplot(2, 2, 1, projection=map_proj_N)
ax_N.scatter(phi[mask_north],
theta[mask_north],
s = 0.1, # not mandatory
c = radii[mask_north],
transform=data_crs,
vmin = -90,
vmax = 90,
)
# use a circular path as map boundary
clip_circle = mpatches.Circle(xy=[0,0], radius=4950000, facecolor='none', edgecolor='k')
ax_N.add_patch(clip_circle)
ax_N.set_boundary(clip_circle.get_path(), transform=None, use_as_clip_path=True)
# with `use_as_clip_path=True` the coastlines do not appear
ax_N.coastlines(color='k', lw=0.75, zorder=13) # not plotted!
ax_N.set_title('Northern hemisphere1')
# 'Southern hemisphere' plot
ax_S = fig.add_subplot(2, 2, 2, projection=map_proj_S)
ax_S.scatter(phi[mask_south],
theta[mask_south],
s = 0.02,
c = radii[mask_south],
transform=data_crs,
vmin = -90,
vmax = 90,
)
clip_circle = mpatches.Circle(xy=[0,0], radius=4950000, facecolor='none', edgecolor='k')
ax_S.add_patch(clip_circle)
# applying the clip-circle as boundary, but not use as clip-path
ax_S.set_boundary(clip_circle.get_path(), transform=None, use_as_clip_path=False)
# with `use_as_clip_path=False` the coastlines is plotted, but goes beyond clip-path
ax_S.coastlines(color='k', lw=0.75, zorder=13)
ax_S.set_title('Southern hemisphere')
# 'Northern hemisphere2' plot, has nice circular limit
fig = plt.figure()
ax = fig.add_subplot(111,projection = map_proj_N)
ax.scatter(phi,
theta,
s = 0.2,
c = radii,
transform=data_crs,
vmin = -90,
vmax = 90,
)
ax.coastlines(color='k', lw=0.5, zorder=13)
ax.set_title('Northern hemisphere2')
ax.set_global()
plt.show()
输出图：