Matplotlib使用ax.scatter绘制3D数字密度图,同时在轴表面上使用2D直方图绘制。

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英文:

Matplotlib plotting a 3d number density plot using ax.scatter with 2d histograms on axis surfaces?

问题

我有下面显示的一组子图,但我想将3个ax.hist2d()图应用于表面的3D投影,有办法做到这一点吗?我的数据是一系列在x、y、z中的坐标,相应的kde值是使用scipy.stats.gaussian_kde()计算的,以给出密度波动。hist2d没有'offset'参数让我将其添加到第一个图中?我需要使用ax.surface_plot()吗?

英文:

I have the set of subplots shown below, but I want to apply the 3 ax.hist2d() plots to the 3d projection on the surfaces, is there a way of doing this? My data is a series of coordinates in x, y, z with corresponding kde values calculated from scipy.stats.gaussian_kde() to give the density fluctuations. hist2d has no 'offset' argument for me to add it to the first plot? Do I need to use ax.surface_plot()?

import numpy as np
import matplotlib.pyplot as plt

X = np.random.normal(5, 2, size=(100,))
Y = np.random.normal(5, 2, size=(100,))
Z = np.random.normal(5, 2, size=(100,))
kde  = np.random.normal(1e-6, 1e-7, size=(100,))

fig = plt.figure(figsize=(12,12))

ax = fig.add_subplot(2, 2, 1, projection='3d')
ax.scatter(X, -Z, Y, c=kde, alpha=1, s=1)
ax.invert_xaxis()
ax.set_xlabel('x (cm)')
ax.set_ylabel('z (cm)')
ax.set_zlabel('y (cm)')

ax1 = fig.add_subplot(2, 2, 2)
ax1.hist2d(X, Y, bins=(50,50))
ax1.invert_xaxis()
ax1.set_xlabel('x (cm)')
ax1.set_ylabel('y (cm)')

ax2 = fig.add_subplot(2, 2, 3)
ax2.hist2d(X, -Z, bins=(50,50))
ax2.invert_xaxis()
ax2.set_xlabel('x (cm)')
ax2.set_ylabel('z (cm)')

ax3 = fig.add_subplot(2, 2, 4)
ax3.hist2d(-Z, Y, bins=(50,50))
ax3.set_xlabel('z (cm)')
ax3.set_ylabel('y (cm)')

plt.show()

^ Minimum working example ^

I have tried the surface_plot method, but none of my data is in the form of a 2D array for the z argument.

Here is an image I am currently producing, it is hard to produce a minimal example from the database I am working with, but basically I want to format all of these subplots onto one plot.

Matplotlib使用ax.scatter绘制3D数字密度图,同时在轴表面上使用2D直方图绘制。

答案1

得分: 0

Matplotlib使用ax.scatter绘制3D数字密度图,同时在轴表面上使用2D直方图绘制。

英文:

You can calculate the information of ax.hist2d via np.histogram2d and then use these values to color a mesh which you can position in 3D.

Here is some code to demonstrate the idea. This code also inverts the x-axis and uses the order X, -Z, Y for the scatter plot, as in the original question. As the plot looks quite busy, the scatter plot might be left out.

import numpy as np
import matplotlib.pyplot as plt

np.random.seed(20230223)
M, N = 2000, 6
X = np.random.normal(0, 2, size=(M, N)).cumsum(axis=0).ravel() + 5
Y = np.random.normal(0, 2, size=(M, N)).cumsum(axis=0).ravel() + 5
Z = np.random.normal(0, 2, size=(M, N)).cumsum(axis=0).ravel() + 5

fig = plt.figure(figsize=(12, 12))

ax = fig.add_subplot(1, 1, 1, projection='3d')
ax.scatter(X, -Z, Y, alpha=0.9, s=2)
ax.invert_xaxis()
ax.set_xlabel('x (cm)')
ax.set_ylabel('z (cm)')
ax.set_zlabel('y (cm)')

cmap = plt.cm.YlOrRd

counts, xbins, ybins = np.histogram2d(-Z, Y, bins=(50, 50))
yg, xg = np.meshgrid(ybins, xbins)
norm = plt.Normalize(vmin=1, vmax=counts.max())
counts[counts == 0] = np.nan
ax.plot_surface(np.full_like(xg, X.max()), xg, yg, facecolors=cmap(norm(counts)), rstride=1, cstride=1, shade=False)

counts, xbins, ybins = np.histogram2d(X, Y, bins=(50, 50))
yg, xg = np.meshgrid(ybins, xbins)
norm = plt.Normalize(vmin=1, vmax=counts.max())
counts[counts == 0] = np.nan
ax.plot_surface(xg, np.full_like(xg, -Z.min()), yg, facecolors=cmap(norm(counts)), rstride=1, cstride=1, shade=False)

counts, xbins, ybins = np.histogram2d(X, -Z, bins=(50, 50))
yg, xg = np.meshgrid(ybins, xbins)  # bins as a 2D grid
norm = plt.Normalize(vmin=1, vmax=counts.max())
counts[counts == 0] = np.nan  # make 0 transparent
ax.plot_surface(xg, yg, np.full_like(xg, Y.min()), facecolors=cmap(norm(counts)), rstride=1, cstride=1, shade=False)

plt.show()

Matplotlib使用ax.scatter绘制3D数字密度图,同时在轴表面上使用2D直方图绘制。

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  • 本文由 发表于 2023年2月23日 19:29:58
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