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@kylemcdonald
Last active August 7, 2024 22:00
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How to (mostly) remove all borders and padding with matplotlib.
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load some data with numpy."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"X = np.load('X.npy')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Setup `matplotlib`."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we remove any padding from the edges of the figure when saved by `savefig`. This is important for both `savefig()` and `show()`. Without this argument there is 0.1 inches of padding on the edges by default."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"mpl.rcParams['savefig.pad_inches'] = 0"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dtRq1m4A3FqrOB94L/F213rxkOK0SEREREZHNoD84UzKQDdZq1P4QeBHQKlS/HLitWm++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k3CcCZJkqQm2E5fmoThTJIkSU1w5UyahOFMkiRJTaivnO0Z8nKz1iqRBpThTJIkSX0Xi+wh4A/V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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d688990>"
]
},
"metadata": {
"image/png": {
"height": 291,
"width": 435
}
},
"output_type": "display_data"
}
],
"source": [
"# Then we set up our axes (the plot region, or the area in which we plot things).\n",
"# Usually there is a thin border drawn around the axes, but we turn it off with `frameon=False`.\n",
"ax = plt.axes([0,0,1,1], frameon=False)\n",
"\n",
"# Then we disable our xaxis and yaxis completely. If we just say plt.axis('off'),\n",
"# they are still used in the computation of the image padding.\n",
"ax.get_xaxis().set_visible(False)\n",
"ax.get_yaxis().set_visible(False)\n",
"\n",
"# Even though our axes (plot region) are set to cover the whole image with [0,0,1,1],\n",
"# by default they leave padding between the plotted data and the frame. We use tigher=True\n",
"# to make sure the data gets scaled to the full extents of the axes.\n",
"plt.autoscale(tight=True)\n",
"\n",
"# Plot the data.\n",
"plt.plot(X)\n",
"\n",
"# Save the figure and display the figure.\n",
"plt.savefig('fig.png')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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+wQ57hmL2V1KySLEsszzLVDkrm+AWfzG3BiNsCXxaygcTYrOISMFwsI+CN4lR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\nw+iwDf99AhgMf8L/AR1YkpYmG4rKAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('fig.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, here is a single function that can be copy-pasted into an existing notebook."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dtRq1m4A3FqrOB94L/F213rxkOK0SEREREZHNoD84UzKQDdZq1P4QeBHQKlS/HLitWm++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k3CcCZJkqQm2E5fmoThTJIkSU1w5UyahOFMkiRJTaivnO0Z8nKz1iqRBpThTJIkSX0Xi+wh4A/V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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e45f790>"
]
},
"metadata": {
"image/png": {
"height": 291,
"width": 435
}
},
"output_type": "display_data"
}
],
"source": [
"def full_frame(width=None, height=None):\n",
" import matplotlib as mpl\n",
" mpl.rcParams['savefig.pad_inches'] = 0\n",
" figsize = None if width is None else (width, height)\n",
" fig = plt.figure(figsize=figsize)\n",
" ax = plt.axes([0,0,1,1], frameon=False)\n",
" ax.get_xaxis().set_visible(False)\n",
" ax.get_yaxis().set_visible(False)\n",
" plt.autoscale(tight=True)\n",
" \n",
"full_frame()\n",
"plt.plot(X)\n",
"plt.savefig('fig.png')\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@Quba1
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Quba1 commented Jun 21, 2022

Great work! Found it very useful

@LeiRui
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LeiRui commented Dec 16, 2022

Excellent!!!

@Hexanders
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Nice!

@dimi999
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dimi999 commented Jan 29, 2024

Great job, thanks a lot for this post

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