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Parametric curve animation with Python/Matplotlib/MoviePy
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# IMPORTS: THIS SCRIPT REQUIRES THE PACKAGES PYLAB AND MOVIEPY | |
# It produces this gif: http://i.imgur.com/LbU55oK.gif | |
from pylab import * | |
import moviepy.editor as mp | |
from moviepy.video.io.bindings import mplfig_to_npimage | |
# PARAMETERS OF THE CURVE AND THE GIF | |
curve = lambda t : ( cos(80*t) - cos(t)**3, sin(t) - sin(80*t)**3 ) | |
curve_latex = (r"$\left(\,\, \cos(80t) - \cos(t^3),\,\,\," | |
+r"\sin(t) - \sin(80t)^3 \,\,\right)$") | |
t_min=0 | |
t_max = 2*pi | |
number_of_points = 20000 | |
gif_name = "test.gif" | |
gif_duration = 5 | |
gif_fps = 15 | |
# PRECOMPUTE THE CURVE | |
times = linspace(0, 2*pi, number_of_points) | |
curve_x, curve_y = zip(*[curve(t) for t in times]) | |
# INITIALIZE THE FIGURE | |
fig, ax = subplots(1, figsize=(4,4), facecolor='white') | |
ax.axis("off") | |
ax.set_title(fun_latex) | |
line, = ax.plot(curve_x, curve_y) | |
# ANIMATE WITH MOVIEPY | |
def make_frame(t): | |
index_max = int( (1.0*t/clip_duration)*number_of_points) | |
line.set_xdata(curve_x[:index_max]) | |
line.set_ydata(curve_y[:index_max]) | |
return mplfig_to_npimage(fig) | |
clip = mp.VideoClip(make_frame, duration=gif_duration) | |
clip = clip.fx( mp.vfx.freeze, t='end', freeze_duration=1) | |
clip.write_gif(gif_name, fps=gif_fps) |
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Direct link to the gif