笔记
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不规则间隔数据的等高线图#
在规则网格上插值的不规则间隔数据的等高线图与非结构化三角形网格的三等高线图的比较。
由于contour
并contourf
期望数据存在于规则网格上,因此绘制不规则间隔数据的等高线图需要不同的方法。这两个选项是:
首先将数据插入到常规网格中。这可以通过板载装置来完成,例如通过
LinearTriInterpolator
或使用外部功能,例如通过scipy.interpolate.griddata
。然后用通常的 绘制插值数据contour
。直接使用
tricontour
ortricontourf
which 将在内部执行三角测量。
这个例子展示了这两种方法的作用。
import matplotlib.pyplot as plt
import matplotlib.tri as tri
import numpy as np
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
此示例中显示了以下函数、方法、类和模块的使用: