I'm working on a 3D plot displayed by a wireframe, where 2D plots are projected on the x, y, and z surface, respectively. Below you can find a minimum example.
I have 2 questions:
With contourf, the 2D plots for every x=10, x=20,... or y=10, y=20,... are displayed on the plot walls. Is there a possibility to define for which x or y, respectively, the contour plots are displayed? For example, in case I only want to have the xz contour plot for y = 0.5 mirrored on the wall?
ADDITION: To display what I mean with "2D plots", I changed "contourf" in the code to "contour" and added the resulting plot to this question. Here you can see now the xz lines for different y values, all offset to y=90. What if I do not want to have all the lines, but only two of them for defined y values?
3D_plot_with_2D_contours
As you can see in the minimum example, the 2D contour plot optically covers the wireframe 3D plot. With increasing the transparency with alpha=0.5 I can increase the transparency of the 2D contours to at least see the wireframe, but it is still optically wrong. Is it possible to sort the objects correctly?
import matplotlib.pyplot as plt,numpy as np
import pylab as pl
from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt,numpy as np
plt.clf()
fig = plt.figure(1,figsize=(35,17),dpi=600,facecolor='w',edgecolor='k')
fig.set_size_inches(10.5,8)
ax = fig.gca(projection='3d')
X, Y, Z = axes3d.get_test_data(0.05)
Xnew = X + 50
Ynew = Y + 50
cset = ax.contourf(Xnew, Ynew, Z, zdir='z', offset=-100, cmap=plt.cm.coolwarm, alpha=0.5)
cset = ax.contourf(Xnew, Ynew, Z, zdir='x', offset=10, cmap=plt.cm.coolwarm, alpha=0.5)
cset = ax.contourf(Xnew, Ynew, Z, zdir='y', offset=90, cmap=plt.cm.coolwarm, alpha = 0.5)
ax.plot_wireframe(Xnew, Ynew, Z, rstride=5, cstride=5, color='black')
Z=Z-Z.min()
Z=Z/Z.max()
from scipy.ndimage.interpolation import zoom
Xall=zoom(Xnew,5)
Yall=zoom(Ynew,5)
Z=zoom(Z,5)
ax.set_xlim(10, 90)
ax.set_ylim(10, 90)
ax.set_zlim(-100, 100)
ax.tick_params(axis='z', which='major', pad=10)
ax.set_xlabel('X',labelpad=10)
ax.set_ylabel('Y',labelpad=10)
ax.set_zlabel('Z',labelpad=17)
ax.view_init(elev=35., azim=-70)
fig.tight_layout()
plt.show()
ADDITION 2: Here is the actual code I'm working with. However, the original data are hidden in the csv files which are too big to be included in the minimal example. That's why was initially replacing them by the test data. However, maybe the actual code helps nevertheless.
from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt,numpy as np
import pylab as pl
from matplotlib.markers import MarkerStyle
import csv
with open("X.csv", 'r') as f:
X = list(csv.reader(f, delimiter=";"))
import numpy as np
X = np.array(X[1:], dtype=np.float)
import csv
with open("Z.csv", 'r') as f:
Z = list(csv.reader(f, delimiter=";"))
import numpy as np
Z = np.array(Z[1:], dtype=np.float)
Y = [[7,7.1,7.2,7.3,7.4,7.5,7.6,7.7,7.8,7.9,8,8.1,8.2,8.3,8.4,8.5,8.6,8.7,8.8,8.9,9]]
Xall = np.repeat(X[:],21,axis=1)
Yall = np.repeat(Y[:],30,axis=0)
from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt,numpy as np
plt.clf()
fig = plt.figure(1,figsize=(35,17),dpi=600,facecolor='w',edgecolor='k')
fig.set_size_inches(10.5,8)
ax = fig.gca(projection='3d')
cset = ax.contourf(Xall, Yall, Z, 2, zdir='x', offset=0, cmap=plt.cm.coolwarm, shade = False, edgecolor='none', alpha=0.5)
cset = ax.contourf(Xall, Yall, Z, 2, zdir='y', offset=9, cmap=plt.cm.coolwarm, shade = False, edgecolor='none', alpha=0.5)
ax.plot_wireframe(Xall, Yall, Z, rstride=1, cstride=1, color='black')
Z=Z-Z.min()
Z=Z/Z.max()
from scipy.ndimage.interpolation import zoom
Xall=zoom(Xall,5)
Yall=zoom(Yall,5)
Z=zoom(Z,5)
cset = ax.plot_surface(Xall, Yall, np.zeros_like(Z)-0,facecolors=plt.cm.coolwarm(Z),shade=False,alpha=0.5,linewidth=False)
ax.set_xlim(-0.5, 31)
ax.set_ylim(6.9, 9.1)
ax.set_zlim(0, 500)
labelsx = [item.get_text() for item in ax.get_xticklabels()]
empty_string_labelsx = ['']*len(labelsx)
ax.set_xticklabels(empty_string_labelsx)
labelsy = [item.get_text() for item in ax.get_yticklabels()]
empty_string_labelsy = ['']*len(labelsy)
ax.set_yticklabels(empty_string_labelsy)
labelsz = [item.get_text() for item in ax.get_zticklabels()]
empty_string_labelsz = ['']*len(labelsz)
ax.set_zticklabels(empty_string_labelsz)
import matplotlib.ticker as ticker
ax.xaxis.set_major_locator(ticker.MultipleLocator(5))
ax.xaxis.set_minor_locator(ticker.MultipleLocator(1))
ax.yaxis.set_major_locator(ticker.MultipleLocator(0.5))
ax.yaxis.set_minor_locator(ticker.MultipleLocator(0.25))
ax.zaxis.set_major_locator(ticker.MultipleLocator(100))
ax.zaxis.set_minor_locator(ticker.MultipleLocator(50))
ax.tick_params(axis='z', which='major', pad=10)
ax.set_xlabel('X',labelpad=5,fontsize=15)
ax.set_ylabel('Y',labelpad=5,fontsize=15)
ax.set_zlabel('Z',labelpad=5,fontsize=15)
ax.view_init(elev=35., azim=-70)
fig.tight_layout()
plt.show()
Alternate possible answer.
This code demonstrates
A plot of a surface and its correponding wireframe
The creation of data and its plot of 3d lines (draped on the surface in 1) at specified values of x and y
Projections of the 3d lines (in 2) on to the frame walls
from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt
from scipy import interpolate
import numpy as np
# use the test data for plotting
fig = plt.figure(1, figsize=(6,6), facecolor='w', edgecolor='gray')
ax = fig.gca(projection='3d')
X, Y, Z = axes3d.get_test_data(0.1) #get 3d data at appropriate density
# create an interpolating function
# can take a long time if data is too large
f1 = interpolate.interp2d(X, Y, Z, kind='linear')
# in general, one can use a set of other X,Y,Z that cover a surface
# preferably, (X,Y) are in grid arrangement
# make up a new set of 3d data to plot
# ranges of x1, and y1 will be inside (X,Y) of the data obtained above
# related grid, x1g,y1g,z1g will be obtained from meshgrid and the interpolated function
x1 = np.linspace(-15,15,10)
y1 = np.linspace(-15,15,10)
x1g, y1g = np.meshgrid(x1, y1)
z1g = f1(x1, y1) #dont use (x1g, y1g)
# prep data for 3d line on the surface (X,Y,Z) at x=7.5
n = 12
x_pf = 7.5
x5 = x_pf*np.ones(n)
y5 = np.linspace(-15, 15, n)
z5 = f1(x_pf, y5)
# x5,y5,z5 can be used to plot 3d line on the surface (X,Y,Z)
# prep data for 3d line on the surface (X,Y,Z) at y=6
y_pf = 6
x6 = np.linspace(-15, 15, n)
y6 = x_pf*np.ones(n)
z6 = f1(x6, y_pf)
# x6,y6,z6 can be used to plot 3d line on the surface (X,Y,Z)
ax = fig.gca(projection='3d')
ax.plot_surface(x1g, y1g, z1g, alpha=0.25)
ax.plot_wireframe(x1g, y1g, z1g, rstride=2, cstride=2, color='black', zorder=10, alpha=1, lw=0.8)
# 3D lines that follow the surface
ax.plot(x5,y5,z5.flatten(), color='red', lw=4)
ax.plot(x6,y6,z6.flatten(), color='green', lw=4)
# projections of 3d curves
# project red and green lines to the walls
ax.plot(-15*np.ones(len(y5)), y5, z5.flatten(), color='red', lw=4, linestyle=':', alpha=0.6)
ax.plot(x6, 15*np.ones(len(x6)), z6.flatten(), color='green', lw=4, linestyle=':', alpha=0.6)
# projections on other sides (become vertical lines)
# change to if True, to plot these
if False:
ax.plot(x5, 15*np.ones(len(x5)), z5.flatten(), color='red', lw=4, alpha=0.3)
ax.plot(-15*np.ones(len(x6)), y6, z6.flatten(), color='green', lw=4, alpha=0.3)
ax.set_title("Projections of 3D lines")
# set limits
ax.set_xlim(-15, 15.5)
ax.set_ylim(-15.5, 15)
plt.show();
(Answer to question 1) To plot the intersections between the surface and the specified planes (y=-20, and y=20), one need to find what Y[?]=-20 and 20. By inspection, I found that Y[100]=20, Y[20]=-20.
The relevant code to plot the lines of intersection:
# By inspection, Y[100]=20, Y[20]=-20
ax.plot3D(X[100], Y[100], Z[100], color='red', lw=6) # line-1 at y=20
ax.plot3D(X[20], Y[20], Z[20], color='green', lw=6) # line-2 at y=-20
# Project them on Z=-100 plane
ax.plot3D(X[100], Y[100], -100, color='red', lw=3) # projection of Line-1
ax.plot3D(X[20], Y[20], -100, color='green', lw=3) # projection of Line-2
The output plot:
(Answer to question 2) To get better plot with the wireframe standout from the surface plot. The surface plot must be partially transparent, which is achieved by setting option alpha=0.6. The relevant code follows.
Z1 = Z-Z.min()
Z1 = Z1/Z.max()
Xall = zoom(X,3)
Yall = zoom(Y,3)
Zz = zoom(Z1, 3)
surf = ax.plot_surface(Xall, Yall, Zz, rstride=10, cstride=10,
facecolors = cm.jet(Zz/np.amax(Zz)),
linewidth=0, antialiased=True,
alpha= 0.6)
# Wireframe
ax.plot_wireframe(X, Y, Z, rstride=5, cstride=5, color='black', alpha=1, lw=0.8)
The plot is:
Is there any way available in python to plot multiple 2D contour plots in one 3D plot in python. I am currently using matplotlib for contouring, but not finding any option for what I am searching for. A sample image I have added. But I want to do it on Z-axis.
You can try this.
from mpl_toolkits.mplot3d import Axes3D
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.path import Path
import matplotlib.patches as patches
fig = plt.figure()
ax = fig.gca(projection='3d')
x = np.linspace(0, 1, 100)
X, Y = np.meshgrid(x, x)
levels = np.linspace(-0.1, 0.4, 100) #(z_min,z_max,number of contour),
a=0
b=1
c=2
Z1 = a+.1*np.sin(2*X)*np.sin(4*Y)
Z2 = b+.1*np.sin(3*X)*np.sin(4*Y)
Z3 = c+.1*np.sin(4*X)*np.sin(5*Y)
plt.contourf(X, Y,Z1, levels=a+levels,cmap=plt.get_cmap('rainbow'))
plt.contourf(X, Y,Z2, levels=b+levels,cmap=plt.get_cmap('rainbow'))
plt.contourf(X, Y,Z3, levels=c+levels,cmap=plt.get_cmap('rainbow'))
ax.set_xlim3d(0, 1)
ax.set_ylim3d(0, 1)
ax.set_zlim3d(0, 2)
plt.show()
In order to plot true 2-D contour plots in one 3D plot, try this:
import numpy as np
import matplotlib.pyplot as plt
fig = plt.figure()
ax = fig.gca(projection='3d')
x = np.linspace(0, 1, 100)
X, Y = np.meshgrid(x, x)
Z1 = .1*np.sin(2*X)*np.sin(4*Y)
Z2 = .1*np.sin(3*X)*np.sin(4*Y)
Z3 = .1*np.sin(4*X)*np.sin(5*Y)
levels=np.linspace(Z1.min(), Z1.max(), 100)
ax.contourf(X, Y,Z1, levels=levels, zdir='z', offset=0, cmap=plt.get_cmap('rainbow'))
levels=np.linspace(Z2.min(), Z2.max(), 100)
ax.contourf(X, Y,Z2, levels=levels, zdir='z', offset=1, cmap=plt.get_cmap('rainbow'))
levels=np.linspace(Z3.min(), Z3.max(), 100)
ax.contourf(X, Y,Z3, levels=levels, zdir='z', offset=2, cmap=plt.get_cmap('rainbow'))
ax.set_xlim3d(0, 1)
ax.set_ylim3d(0, 1)
ax.set_zlim3d(0, 2)
plt.show()
enter image description here
I am trying to plot a 1D line along with a 2D surface in matplotlib with Axes3D:
from mpl_toolkits.mplot3d import Axes3D
import numpy as np
import matplotlib.pyplot as plt
x = np.arange(-1., 1.1, 0.1)
y = x.copy()
X, Y = np.meshgrid(x, y)
Z = np.abs(X) + np.abs(Y)
plt.close('all')
fig = plt.figure()
ax = fig.gca(projection='3d')
ax.plot(np.zeros_like(y), y, 1, color='k')
ax.plot(x, np.zeros_like(x), 1, color='k')
surf = ax.plot_surface(X, Y, Z, color='w')
plt.show(block=False)
but the 2D plot somehow hides the lines:
If I comment the surf = plot_surface(...) code line, the 1D lines show correctly:
How can I have the lines showing correctly along with the surface?
Axes3D.plot_surface() apparently accepts a transparency (alpha) argument, which actually gets forwarded to a base class, Poly3DCollection.
And of course the line plot() calls accept a linewidth argument.
So if you render the line plots with thicker lines and you render the surface with some transparency, you should be able to find a combination of settings which let you see both the lines and the surface in a balanced way.
https://matplotlib.org/tutorials/toolkits/mplot3d.html#mpl_toolkits.mplot3d.Axes3D.plot_surface
https://matplotlib.org/api/_as_gen/mpl_toolkits.mplot3d.art3d.Poly3DCollection.html#mpl_toolkits.mplot3d.art3d.Poly3DCollection
You can also achieve this by using the zorder in the plot_surface and plot commands to make the lines sit on top of the surface. E.g.
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(-1., 1.1, 0.1)
y = x.copy()
X, Y = np.meshgrid(x, y)
Z = np.abs(X) + np.abs(Y)
plt.close('all')
fig = plt.figure()
ax = fig.gca(projection='3d')
surf = ax.plot_surface(X, Y, Z, color='w', zorder=1)
ax.plot(np.zeros_like(y), y, 1, color='k', zorder=10)
ax.plot(x, np.zeros_like(x), 1, color='k', zorder=11)
plt.show(block=False)
I have 2 1D arrays with the values of x and y, and also a 2D array with the values of z for each point where the columns correspond to the x values and the rows to the y values. Is there any way to get a plot_surface with this data? when I try to do it it returns me no plot. Here is the code: (calculate_R is a function I made for the program)
x=np.arange(0,10,1)
y=np.arange(0,1,0.2)
lx= len(x)
ly=len(y)
z=np.zeros((lx,ly))
for i in range(lx):
for j in range(ly):
z[i,j]=calculate_R(y[j],x[i])
fig = plt.figure()
ax = Axes3D(fig)
x, y = np.meshgrid(x, y)
ax.plot_surface(x, y, z, rstride=1, cstride=1, cmap='hot')
You forgot to call plt.show() to display your plot.
Note that you might be able to exploit numpy vectorization to speed up the calculation of z:
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d.axes3d import Axes3D
x = np.arange(0,10,1)
y = np.arange(0,1,0.2)
xs, ys = np.meshgrid(x, y)
# z = calculate_R(xs, ys)
zs = xs**2 + ys**2
fig = plt.figure()
ax = Axes3D(fig)
ax.plot_surface(xs, ys, zs, rstride=1, cstride=1, cmap='hot')
plt.show()
Here, I used a simple function, since you didn't supply a fully working example.