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不规则间隔数据的等高线图#
不规则分布数据的等高线图与非结构化三角网格的三等高线图的比较。
由于 contour 和 contourf 期望数据存在于一个规则的网格上,绘制不规则间隔数据的等高线图需要不同的方法。两种选择是:
首先将数据插值到规则网格上。这可以通过内置方法完成,例如通过
LinearTriInterpolator,或者使用外部功能,例如通过scipy.interpolate.griddata。然后使用通常的contour绘制插值数据。直接使用
tricontour或tricontourf,它们将在内部执行三角剖分。
这个示例展示了两种方法的实际应用。
import matplotlib.pyplot as plt
import numpy as np
import matplotlib.tri as tri
np.random.seed(19680801)
npts = 200
ngridx = 100
ngridy = 200
x = np.random.uniform(-2, 2, npts)
y = np.random.uniform(-2, 2, npts)
z = x * np.exp(-x**2 - y**2)
fig, (ax1, ax2) = plt.subplots(nrows=2)
# -----------------------
# Interpolation on a grid
# -----------------------
# A contour plot of irregularly spaced data coordinates
# via interpolation on a grid.
# Create grid values first.
xi = np.linspace(-2.1, 2.1, ngridx)
yi = np.linspace(-2.1, 2.1, ngridy)
# Linearly interpolate the data (x, y) on a grid defined by (xi, yi).
triang = tri.Triangulation(x, y)
interpolator = tri.LinearTriInterpolator(triang, z)
Xi, Yi = np.meshgrid(xi, yi)
zi = interpolator(Xi, Yi)
# Note that scipy.interpolate provides means to interpolate data on a grid
# as well. The following would be an alternative to the four lines above:
# from scipy.interpolate import griddata
# zi = griddata((x, y), z, (xi[None, :], yi[:, None]), method='linear')
ax1.contour(xi, yi, zi, levels=14, linewidths=0.5, colors='k')
cntr1 = ax1.contourf(xi, yi, zi, levels=14, cmap="RdBu_r")
fig.colorbar(cntr1, ax=ax1)
ax1.plot(x, y, 'ko', ms=3)
ax1.set(xlim=(-2, 2), ylim=(-2, 2))
ax1.set_title('grid and contour (%d points, %d grid points)' %
(npts, ngridx * ngridy))
# ----------
# Tricontour
# ----------
# Directly supply the unordered, irregularly spaced coordinates
# to tricontour.
ax2.tricontour(x, y, z, levels=14, linewidths=0.5, colors='k')
cntr2 = ax2.tricontourf(x, y, z, levels=14, cmap="RdBu_r")
fig.colorbar(cntr2, ax=ax2)
ax2.plot(x, y, 'ko', ms=3)
ax2.set(xlim=(-2, 2), ylim=(-2, 2))
ax2.set_title('tricontour (%d points)' % npts)
plt.subplots_adjust(hspace=0.5)
plt.show()

参考文献
以下示例展示了以下函数、方法、类和模块的使用:
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