We Keep Coding

Changing the position of x-y plane [duplicate]

I am using mplot3d from the mpl_toolkits library. When displaying the 3D surface on the figure I'm realized the axis were not positioned as I wished they would.
Let me show, I have added to the following screenshot the position of each axis:
Is there a way to change the position of the axes in order to get this result:
Here's the working code:
import matplotlib.pyplot as plt
import numpy as np
from mpl_toolkits.mplot3d import Axes3D
ax = Axes3D(plt.figure())
def f(x,y) :
return -x**2 - y**2
X = np.arange(-1, 1, 0.02)
Y = np.arange(-1, 1, 0.02)
X, Y = np.meshgrid(X, Y)
Z = f(X, Y)
ax.plot_surface(X, Y, Z, alpha=0.5)
# Hide axes ticks
ax.set_xticks([-1,1])
ax.set_yticks([-1,1])
ax.set_zticks([-2,0])
ax.set_yticklabels([-1,1],rotation=-15, va='center', ha='right')
plt.show()
I have tried using xaxis.set_ticks_position('left') statement, but it doesn't work.

No documented methods, but with some hacking ideas from https://stackoverflow.com/a/15048653/1149007 you can.
import matplotlib.pyplot as plt
import numpy as np
from mpl_toolkits.mplot3d import Axes3D
fig = plt.figure()
ax = ax = fig.add_subplot(111, projection='3d')
ax.view_init(30, 30)
def f(x,y) :
return -x**2 - y**2
X = np.arange(-1, 1, 0.02)
Y = np.arange(-1, 1, 0.02)
X, Y = np.meshgrid(X, Y)
Z = f(X, Y)
ax.plot_surface(X, Y, Z, alpha=0.5)
# Hide axes ticks
ax.set_xticks([-1,1])
ax.set_yticks([-1,1])
ax.set_zticks([-2,0])
ax.xaxis._axinfo['juggled'] = (0,0,0)
ax.yaxis._axinfo['juggled'] = (1,1,1)
ax.zaxis._axinfo['juggled'] = (2,2,2)
plt.show()
I can no idea of the meaning of the third number in triples. If set zeros nothing changes in the figure. So should look in the code for further tuning.
You can also look at related question Changing position of vertical (z) axis of 3D plot (Matplotlib)? with low level hacking of _PLANES property.

Something changed, code blow doesn't work, all axis hide...
ax.xaxis._axinfo['juggled'] = (0,0,0)
ax.yaxis._axinfo['juggled'] = (1,1,1)
ax.zaxis._axinfo['juggled'] = (2,2,2)
I suggest using the plot function to create a graph

How to normalize colorbar in Python?

I want to adjust colobar scale from my current figure1 to the desired figure2 !!
My colorbar scale range is -1 to 1, but I want it in exponential form and for that I tried levels = np.linspace(-100e-2,100e-2) as well, but it also doesn't give the desired scale2
import xarray as xr
import numpy as np
import matplotlib.pyplot as plt
ds = xr.open_dataset('PL_Era_Tkt.nc')
wp = ds.w.mean(dim=['longitude','latitude']).plot.contourf(x='time',cmap='RdBu',add_colorbar=False,extend='both')
wpcb = plt.colorbar(wp)
wpcb.set_label(label='Pa.s${^{-1}}$',size=13)
plt.gca().invert_yaxis()
plt.title('Vertical Velocity',size=15)
My current scale
My desired scale

Since the data is not presented, I added normalized color bars with the data from the graph sample here. I think the color bar scales will also be in log format with this setup. Please note that the data used is not large, so I have not been able to confirm this.
%matplotlib inline
import matplotlib.pyplot as plt
import matplotlib as mpl
import matplotlib.ticker as ticker
import numpy as np
plt.style.use('seaborn-white')
def f(x, y):
return np.sin(x) ** 10 + np.cos(10 + y * x) * np.cos(x)
x = np.linspace(0, 5, 50)
y = np.linspace(0, 5, 40)
X, Y = np.meshgrid(x, y)
Z = f(X, Y)
fig, ax = plt.subplots()
ax.contourf(X, Y, Z, 20, cmap='RdGy')
cmap = mpl.cm.RdGy
norm = mpl.colors.Normalize(vmin=-1, vmax=1.0)
fig.colorbar(mpl.cm.ScalarMappable(norm=norm, cmap=cmap),
ax=ax, orientation='vertical', label='Some Units', extend='both', ticks=ticker.LogLocator())
plt.show()

Update interactive plot in Jupyter Notebook [duplicate]

I am trying to animate a pcolormesh in matplotlib. I have seen many of the examples using the package animation, most of them using a 1D plot routine, and some of them with imshow().
First, I wan to use the FuncAnimation routine. My problem is, first, that I do not know if I can initialize the plot
fig,ax = plt.subplots()
quad = ax.pcolormesh(X,Y,Z)
I have tried a few simple lines:
fig,ax = plt.subplots()
quad = ax.pcolormesh([])
def init():
quad.set_array([])
return quad,
def animate(ktime):
quad.set_array(X,Y,np.sin(Z)+ktime)
return quad,
anim = animation.FuncAnimation(fig,animate,init_func=init,frames=Ntime,interval=200,blit=True)
plt.show()
By the way, How do I set labels into and animated plot? Can I animate the title, if it is showing a number that changes in time?
Thanks

The problem was that I was wrongly using set_array() routine. It is very important to note that you must pass a 1D array to this routine. To do so, regarding that color, pcolormesh and so on usually plots multidimensional arrays, you should use .ravel() .
One more important thing: In order to animate different plots at the same time, the blitz option at animate.FuncAnimation must be False (See section "Animating selected plot elements" of this link).
Here I post the code that simple program with various subplots:
import matplotlib.pyplot as plt
import numpy as np
import matplotlib.gridspec as gridspec
import matplotlib.animation as animation
y, x = np.meshgrid(np.linspace(-10, 10,100), np.linspace(-10, 10,100))
z = np.sin(x)*np.sin(x)+np.sin(y)*np.sin(y)
v = np.linspace(-10, 10,100)
t = np.sin(v)*np.sin(v)
tt = np.cos(v)*np.cos(v)
###########
fig = plt.figure(figsize=(16, 8),facecolor='white')
gs = gridspec.GridSpec(5, 2)
ax1 = plt.subplot(gs[0,0])
line, = ax1.plot([],[],'b-.',linewidth=2)
ax1.set_xlim(-10,10)
ax1.set_ylim(0,1)
ax1.set_xlabel('time')
ax1.set_ylabel('amplitude')
ax1.set_title('Oscillationsssss')
time_text = ax1.text(0.02, 0.95, '', transform=ax1.transAxes)
#############################
ax2 = plt.subplot(gs[1:3,0])
quad1 = ax2.pcolormesh(x,y,z,shading='gouraud')
ax2.set_xlabel('time')
ax2.set_ylabel('amplitude')
cb2 = fig.colorbar(quad1,ax=ax2)
#########################
ax3 = plt.subplot(gs[3:,0])
quad2 = ax3.pcolormesh(x, y, z,shading='gouraud')
ax3.set_xlabel('time')
ax3.set_ylabel('amplitude')
cb3 = fig.colorbar(quad2,ax=ax3)
############################
ax4 = plt.subplot(gs[:,1])
line2, = ax4.plot(v,tt,'b',linewidth=2)
ax4.set_xlim(-10,10)
ax4.set_ylim(0,1)
def init():
line.set_data([],[])
line2.set_data([],[])
quad1.set_array([])
return line,line2,quad1
def animate(iter):
t = np.sin(2*v-iter/(2*np.pi))*np.sin(2*v-iter/(2*np.pi))
tt = np.cos(2*v-iter/(2*np.pi))*np.cos(2*v-iter/(2*np.pi))
z = np.sin(x-iter/(2*np.pi))*np.sin(x-iter/(2*np.pi))+np.sin(y)*np.sin(y)
line.set_data(v,t)
quad1.set_array(z.ravel())
line2.set_data(v,tt)
return line,line2,quad1
gs.tight_layout(fig)
anim = animation.FuncAnimation(fig,animate,frames=100,interval=50,blit=False,repeat=False)
plt.show()
print 'Finished!!'

There is an ugly detail you need to take care when using QuadMesh.set_array(). If you intantiate your QuadMesh with X, Y and C you can update the values C by using set_array(). But set_array does not support the same input as the constructor. Reading the source reveals that you need to pass a 1d-array and what is even more puzzling is that depending on the shading setting you might need to cut of your array C.
Edit: There is even a very old bug report about the confusing array size for shading='flat'.
That means:
Using QuadMesh.set_array() with shading = 'flat'
'flat' is default value for shading.
# preperation
import numpy as np
import matplotlib.pyplot as plt
plt.ion()
y = np.linspace(-10, 10, num=1000)
x = np.linspace(-10, 10, num=1000)
X, Y = np.meshgrid(x, y)
C = np.ones((1000, 1000)) * float('nan')
# intantiate empty plot (values = nan)
pcmesh = plt.pcolormesh(X, Y, C, vmin=-100, vmax=100, shading='flat')
# generate some new data
C = X * Y
# necessary for shading='flat'
C = C[:-1, :-1]
# ravel() converts C to a 1d-array
pcmesh.set_array(C.ravel())
# redraw to update plot with new data
plt.draw()
Looks like:
Note that if you omit C = C[:-1, :-1] your will get this broken graphic:
Using QuadMesh.set_array() with shading = 'gouraud'
# preperation (same as for 'flat')
import numpy as np
import matplotlib.pyplot as plt
plt.ion()
y = np.linspace(-10, 10, num=1000)
x = np.linspace(-10, 10, num=1000)
X, Y = np.meshgrid(x, y)
C = np.ones((1000, 1000)) * float('nan')
# intantiate empty plot (values = nan)
pcmesh = plt.pcolormesh(X, Y, C, vmin=-100, vmax=100, shading='gouraud')
# generate some new data
C = X * Y
# here no cut of of last row/column!
# ravel() converts C to a 1d-array
pcmesh.set_array(C.ravel())
# redraw to update plot with new data
plt.draw()
If you cut off the last row/column with shade='gouraud' you will get:
ValueError: total size of new array must be unchanged

I am not sure why your quad = ax.pcolormesh(X,Y,Z) function is giving an error. Can you post the error?
Below is what I would do to create a simple animation using pcolormesh:
import matplotlib.pyplot as plt
import numpy as np
y, x = np.meshgrid(np.linspace(-3, 3,100), np.linspace(-3, 3,100))
z = np.sin(x**2+y**2)
z = z[:-1, :-1]
ax = plt.subplot(111)
quad = plt.pcolormesh(x, y, z)
plt.colorbar()
plt.ion()
plt.show()
for phase in np.linspace(0,10*np.pi,200):
z = np.sin(np.sqrt(x**2+y**2) + phase)
z = z[:-1, :-1]
quad.set_array(z.ravel())
plt.title('Phase: %.2f'%phase)
plt.draw()
plt.ioff()
plt.show()
One of the frames:
Does this help? If not, maybe you can clarify the question.

There is another answer presented here that looks simpler thus better (IMHO)
Here is a copy & paste of the alternative solution :
import matplotlib.pylab as plt
from matplotlib import animation
fig = plt.figure()
plt.hold(True)
#We need to prime the pump, so to speak and create a quadmesh for plt to work with
plt.pcolormesh(X[0:1], Y[0:1], C[0:1])
anim = animation.FuncAnimation(fig, animate, frames = range(2,155), blit = False)
plt.show()
plt.hold(False)
def animate( self, i):
plt.title('Ray: %.2f'%i)
#This is where new data is inserted into the plot.
plt.pcolormesh(X[i-2:i], Y[i-2:i], C[i-2:i])

Plotting scatter density plots in python [duplicate]

I'd like to make a scatter plot where each point is colored by the spatial density of nearby points.
I've come across a very similar question, which shows an example of this using R:
R Scatter Plot: symbol color represents number of overlapping points
What's the best way to accomplish something similar in python using matplotlib?

In addition to hist2d or hexbin as #askewchan suggested, you can use the same method that the accepted answer in the question you linked to uses.
If you want to do that:
import numpy as np
import matplotlib.pyplot as plt
from scipy.stats import gaussian_kde
# Generate fake data
x = np.random.normal(size=1000)
y = x * 3 + np.random.normal(size=1000)
# Calculate the point density
xy = np.vstack([x,y])
z = gaussian_kde(xy)(xy)
fig, ax = plt.subplots()
ax.scatter(x, y, c=z, s=100)
plt.show()
If you'd like the points to be plotted in order of density so that the densest points are always on top (similar to the linked example), just sort them by the z-values. I'm also going to use a smaller marker size here as it looks a bit better:
import numpy as np
import matplotlib.pyplot as plt
from scipy.stats import gaussian_kde
# Generate fake data
x = np.random.normal(size=1000)
y = x * 3 + np.random.normal(size=1000)
# Calculate the point density
xy = np.vstack([x,y])
z = gaussian_kde(xy)(xy)
# Sort the points by density, so that the densest points are plotted last
idx = z.argsort()
x, y, z = x[idx], y[idx], z[idx]
fig, ax = plt.subplots()
ax.scatter(x, y, c=z, s=50)
plt.show()

Plotting >100k data points?
The accepted answer, using gaussian_kde() will take a lot of time. On my machine, 100k rows took about 11 minutes. Here I will add two alternative methods (mpl-scatter-density and datashader) and compare the given answers with same dataset.
In the following, I used a test data set of 100k rows:
import matplotlib.pyplot as plt
import numpy as np
# Fake data for testing
x = np.random.normal(size=100000)
y = x * 3 + np.random.normal(size=100000)
Output & computation time comparison
Below is a comparison of different methods.
1: mpl-scatter-density
Installation
pip install mpl-scatter-density
Example code
import mpl_scatter_density # adds projection='scatter_density'
from matplotlib.colors import LinearSegmentedColormap
# "Viridis-like" colormap with white background
white_viridis = LinearSegmentedColormap.from_list('white_viridis', [
(0, '#ffffff'),
(1e-20, '#440053'),
(0.2, '#404388'),
(0.4, '#2a788e'),
(0.6, '#21a784'),
(0.8, '#78d151'),
(1, '#fde624'),
], N=256)
def using_mpl_scatter_density(fig, x, y):
ax = fig.add_subplot(1, 1, 1, projection='scatter_density')
density = ax.scatter_density(x, y, cmap=white_viridis)
fig.colorbar(density, label='Number of points per pixel')
fig = plt.figure()
using_mpl_scatter_density(fig, x, y)
plt.show()
Drawing this took 0.05 seconds:
And the zoom-in looks quite nice:
2: datashader
Datashader is an interesting project. It has added support for matplotlib in datashader 0.12.
Installation
pip install datashader
Code (source & parameterer listing for dsshow):
import datashader as ds
from datashader.mpl_ext import dsshow
import pandas as pd
def using_datashader(ax, x, y):
df = pd.DataFrame(dict(x=x, y=y))
dsartist = dsshow(
df,
ds.Point("x", "y"),
ds.count(),
vmin=0,
vmax=35,
norm="linear",
aspect="auto",
ax=ax,
)
plt.colorbar(dsartist)
fig, ax = plt.subplots()
using_datashader(ax, x, y)
plt.show()
It took 0.83 s to draw this:
There is also possibility to colorize by third variable. The third parameter for dsshow controls the coloring. See more examples here and the source for dsshow here.
3: scatter_with_gaussian_kde
def scatter_with_gaussian_kde(ax, x, y):
# https://stackoverflow.com/a/20107592/3015186
# Answer by Joel Kington
xy = np.vstack([x, y])
z = gaussian_kde(xy)(xy)
ax.scatter(x, y, c=z, s=100, edgecolor='')
It took 11 minutes to draw this:
4: using_hist2d
import matplotlib.pyplot as plt
def using_hist2d(ax, x, y, bins=(50, 50)):
# https://stackoverflow.com/a/20105673/3015186
# Answer by askewchan
ax.hist2d(x, y, bins, cmap=plt.cm.jet)
It took 0.021 s to draw this bins=(50,50):
It took 0.173 s to draw this bins=(1000,1000):
Cons: The zoomed-in data does not look as good as in with mpl-scatter-density or datashader. Also you have to determine the number of bins yourself.
5: density_scatter
The code is as in the answer by Guillaume.
It took 0.073 s to draw this with bins=(50,50):
It took 0.368 s to draw this with bins=(1000,1000):

Also, if the number of point makes KDE calculation too slow, color can be interpolated in np.histogram2d [Update in response to comments: If you wish to show the colorbar, use plt.scatter() instead of ax.scatter() followed by plt.colorbar()]:
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import cm
from matplotlib.colors import Normalize
from scipy.interpolate import interpn
def density_scatter( x , y, ax = None, sort = True, bins = 20, **kwargs ) :
"""
Scatter plot colored by 2d histogram
"""
if ax is None :
fig , ax = plt.subplots()
data , x_e, y_e = np.histogram2d( x, y, bins = bins, density = True )
z = interpn( ( 0.5*(x_e[1:] + x_e[:-1]) , 0.5*(y_e[1:]+y_e[:-1]) ) , data , np.vstack([x,y]).T , method = "splinef2d", bounds_error = False)
#To be sure to plot all data
z[np.where(np.isnan(z))] = 0.0
# Sort the points by density, so that the densest points are plotted last
if sort :
idx = z.argsort()
x, y, z = x[idx], y[idx], z[idx]
ax.scatter( x, y, c=z, **kwargs )
norm = Normalize(vmin = np.min(z), vmax = np.max(z))
cbar = fig.colorbar(cm.ScalarMappable(norm = norm), ax=ax)
cbar.ax.set_ylabel('Density')
return ax
if "__main__" == __name__ :
x = np.random.normal(size=100000)
y = x * 3 + np.random.normal(size=100000)
density_scatter( x, y, bins = [30,30] )

You could make a histogram:
import numpy as np
import matplotlib.pyplot as plt
# fake data:
a = np.random.normal(size=1000)
b = a*3 + np.random.normal(size=1000)
plt.hist2d(a, b, (50, 50), cmap=plt.cm.jet)
plt.colorbar()

Map an array of indexes to an array of coordinates

I'm playing a bit with scikit-image marching cubes algorithm. Here is a simplified version of the example given in the docs.
from matplotlib import pyplot as plt
import numpy as np
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
from skimage import measure
x = np.linspace(-1, 1, 11)
X, Y, Z = np.meshgrid(x, x, x, indexing = 'ij')
def f(x, y, z):
return x
verts, faces = measure.marching_cubes(f(X, Y, Z), 0.6)
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
mesh = Poly3DCollection(verts[faces])
ax.add_collection3d(mesh)
ax.set_xlim(0, 10)
ax.set_ylim(0, 10)
ax.set_zlim(0, 10)
plt.show()
Here is the resulting surface:
It appears that coordinates of vertices are given in terms of array index rather than coordinates of the meshgrid. How can I transform the coordinates of vertices so that they map to the meshgrid, like in the image below?
I can do that by hand:
mesh = Poly3DCollection((verts[faces] / 5) - 1)
but there must be some numpy magic here.
Thanks.

IMHO, no magic here. There is no 'plug and play' transformations in mplot3d.
for automation, you can just make your 'by hand' job with a function :
from matplotlib import pyplot as plt
import numpy as np
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
from skimage import measure
x=y=z= np.linspace(-1, 1, 11)
grid=np.meshgrid(x,y,z)
def f(x, y, z):
return x*x+y*y+z*z # more fun ;)
def scale_marching(x,verts):
return x[0]+ (x[-1]-x[0])/len(x)*verts
verts, faces = measure.marching_cubes(f(*grid), 1.5)
verts=scale_marching(x,verts)
ax = plt.figure().add_subplot(111, projection='3d')
ax.add_collection3d(Poly3DCollection(verts[faces]))
ax.auto_scale_xyz(*grid)