I am trying to show a gif file in google's colab.research. I was able to save the file in the directory with the following path name /content/BrowniamMotion.gif
but I don't know how to show this GIF in my notebook to present.
The code to generate the GIF so far, in case someone can manipulate it not to save the GIF but rather to animate it directly into the google colab file was,
# Other Brownian Motion
from math import *
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits import mplot3d
import matplotlib.animation as animation
fig = plt.figure(figsize=(8,6))
ax = plt.axes(projection='3d')
N=10
#val1 = 500
x=500*np.random.random(N)
y=500*np.random.random(N)
z=500*np.random.random(N)
def frame(w):
ax.clear()
global x,y,z
x=x+np.random.normal(loc=0.0,scale=50.0,size=10)
y=y+np.random.normal(loc=0.0,scale=50.0,size=10)
z=z+np.random.normal(loc=0.0,scale=50.0,size=10)
plt.title("Brownian Motion")
ax.set_xlabel('X(t)')
ax.set_xlim3d(-500.0,500.0)
ax.set_ylabel('Y(t)')
ax.set_ylim3d(-500.0,500.0)
ax.set_zlabel('Z(t)')
ax.set_zlim3d(-500.0,500.0)
plot=ax.scatter
3D(x, y, z, c='r')
return plot
anim = animation.FuncAnimation(fig, frame, frames=100, blit=False, repeat=True)
anim.save('BrowniamMotion.gif', writer = "pillow", fps=10 )
Sorry if this question is badly, stated. I am new to Python and using colab research.
What we can do is convert the animation into an HTML5 video and embed it in Jupyter Notebook. We will be using FFmpeg for conversion. If you don't have it, you first need to follow the instruction to download FFmpeg and unzip it. Creating animation is the same as the previous example.
According to colab docs: In the IPython notebook, you also have the option of embedding graphics directly in the notebook, with two possible options: %matplotlib notebook will lead to interactive plots embedded within the notebook. %matplotlib inline will lead to static images of your plot embedded in the notebook.
For Colab it is easiest to use 'jshtml' to display matplotlib animation.
You need to set it up with
from matplotlib import rc
rc('animation', html='jshtml')
Then, just type your animation object. It will display itself
anim
Here's a workable colab of your code.
It has a slider where you can run back and forth at any point in time.
Using the same authors git repository seems like we have a solution to embed the plots as GIFs ( Save Matplotlib Animations as GIFs ).
#!apt install ffmpeg
#!brew install imagemagick
import numpy as np
import matplotlib
import matplotlib.pyplot as plt
from matplotlib import animation, rc
from IPython.display import HTML, Image # For GIF
rc('animation', html='html5')
np.random.seed(5)
# Set up formatting for the movie files
Writer = animation.writers['ffmpeg']
writer = Writer(fps=15, metadata=dict(artist='Me'), bitrate=1800)
def generateRandomLines(dt, N):
dX = np.sqrt(dt) * np.random.randn(1, N)
X = np.cumsum(dX, axis=1)
dY = np.sqrt(dt) * np.random.randn(1, N)
Y = np.cumsum(dY, axis=1)
lineData = np.vstack((X, Y))
return lineData
# Returns Line2D objects
def updateLines(num, dataLines, lines):
for u, v in zip(lines, dataLines):
u.set_data(v[0:2, :num])
return lines
N = 501 # Number of points
T = 1.0
dt = T/(N-1)
fig, ax = plt.subplots()
data = [generateRandomLines(dt, N)]
ax = plt.axes(xlim=(-2.0, 2.0), ylim=(-2.0, 2.0))
ax.set_xlabel('X(t)')
ax.set_ylabel('Y(t)')
ax.set_title('2D Discretized Brownian Paths')
## Create a list of line2D objects
lines = [ax.plot(dat[0, 0:1], dat[1, 0:1])[0] for dat in data]
## Create the animation object
anim = animation.FuncAnimation(fig, updateLines, N+1, fargs=(data, lines), interval=30, repeat=True, blit=False)
plt.tight_layout()
plt.show()
# Save as GIF
anim.save('animationBrownianMotion2d.gif', writer='pillow', fps=60)
Image(url='animationBrownianMotion2d.gif')
## Uncomment to save the animation
#anim.save('brownian2d_1path.mp4', writer=writer)
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