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@ChaoYue
Last active November 21, 2023 08:46
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This shows how to pick up a bi-variate colorbar and properly select the colors
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib as mat\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mat.rcParams['figure.figsize'] = (4,4)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"num=10"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x = np.linspace(0,1,num) \n",
"y = np.linspace(0,1,num) \n",
"data = np.zeros((num,num,3)) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Variation by hue and saturation"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f4e95b4a310>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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QsiE3MTNVeQSWjNoRg3aAuSA8RQvuIW7ztgLQfsB8YxoU9IxbaWAaMFgQGeavTKvywDE1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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4e97c1dd50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i in range(num):\n",
" for j in range(num):\n",
" hsv = [y[j],x[i],1]\n",
" rgb = mat.colors.hsv_to_rgb(hsv)\n",
" data[i,j,:] = rgb\n",
"\n",
"plt.imshow(data,extent=[0,1,0,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Variation by hue and brightness"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f4e95a2ea10>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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C+zHJAKMEvWpUFgTqM2VdJO1D2J9Agq7AAtiz2l+YvKT+bU0diIx3LC/rXXOQmISPupTH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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4e97be6610>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i in range(num):\n",
" for j in range(num):\n",
" hsv = [y[j],1,x[i]]\n",
" rgb = mat.colors.hsv_to_rgb(hsv)\n",
" data[i,j,:] = rgb\n",
"\n",
"plt.imshow(data,extent=[0,1,0,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Variation by color and transparency"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = np.zeros((num,num,4)) "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f4e9596a590>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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1MvUZOJPLHkLaB5JF+eiI7ULwyeshxiiHktY1YYwRY0aG6bjPiAu0+Wjyo+HM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\no402MmkDh4022sik/w/zKIonnF2aagAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4e95ad99d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i in range(num):\n",
" for j in range(num):\n",
" hsv = [y[j],1,1]\n",
" rgb = mat.colors.hsv_to_rgb(hsv)\n",
" data[i,j,:3] = rgb\n",
" data[i,j,3] = x[i]\n",
"\n",
"plt.imshow(data,extent=[0,1,0,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Variation in a colormap in a linear way"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Here the variation in a colormap is determined by the distance to the diagonal line"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x = np.linspace(-1,1,num) \n",
"y = np.linspace(1,-1,num)\n",
"data = np.zeros((num,num)) "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"for i in range(num): \n",
" for j in range(num): \n",
" phi = np.arctan2(y[j],x[i]) \n",
" data[i,j] = np.sin(np.pi/4-phi) "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f4e95a16d10>]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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H3QLTUxmYNk2sAnGBMacyJsoMVnHUd1KsArEtI7k1YxxDfFcljzm6oqgaiFyTo6cs5tRJ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\naGhYCI08GhoaFsL/AXAgwyaalguWAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4e95a16cd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(data,cmap=mat.cm.RdYlGn,vmax=1,vmin=-1,extent=[-1,1,-1,1])\n",
"ax = plt.gca()\n",
"ax.plot([-1,1],[-1,1],color='0.5',ls='-')\n",
"ax.plot([0.5,0],[-0.5,0],color='r',ls='--',marker='o')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"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": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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