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@DBremen
Last active March 16, 2020 13:10
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Matrix visualization
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{
"cells": [
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import numpy as np\nimport matplotlib.pyplot as plt",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "A = [ [1,2], [3,1]]\nprint(A)\nplt.imshow(A)\nplt.xticks([0,1])\nplt.yticks([0,1])\nplt.colorbar(ticks=range(6))\nplt.show()",
"execution_count": 13,
"outputs": [
{
"output_type": "stream",
"text": "[[1, 2], [3, 1]]\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 2 Axes>",
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "A = np.zeros((10,14))\nfor row in range(0,np.shape(A)[0]):\n for col in range(0,np.shape(A)[1]):\n A[row,col] = 3*row - 4*col\n #text(x,y) col=x and row=y\n plt.text(col,row,int(A[row,col]),horizontalalignment='center',verticalalignment='center')\nplt.imshow(A)\n#plt.plot([0,3],[8,2],'r',linewidth=4)\nplt.set_cmap('cool')\nplt.show()",
"execution_count": 25,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "A = np.zeros((10,10))\nfor row in range(0,np.shape(A)[0]):\n for col in range(0,np.shape(A)[1]):\n A[row,col] = (-1)**(row+col)\nplt.imshow(A)\nplt.set_cmap('gray')\nplt.tick_params(labelleft=False,labelbottom=False)\nplt.show()",
"execution_count": 32,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Drawing patches with polygons"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from matplotlib.patches import Polygon",
"execution_count": 35,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "y = np.array([ [1,1],[2,3],[3,1] ])\np = Polygon(y,facecolor='b',alpha=.3)\ny2 = np.array([ [2,2],[2.5,4],[3.5,1] ])\np2 = Polygon(y2,facecolor='r',alpha=.3)\nfig, ax = plt.subplots()\nax.add_patch(p)\nax.add_patch(p2)\nax.set_ylim([0,4])\nax.set_xlim([0,4])\nplt.show()",
"execution_count": 45,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"base_numbering": 1,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"language_info": {
"name": "python",
"version": "3.7.3",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"gist": {
"id": "bd8e4a59a2518019a52c37a8e64592b1",
"data": {
"description": "Matrix visualization",
"public": true
}
},
"_draft": {
"nbviewer_url": "https://gist.github.com/bd8e4a59a2518019a52c37a8e64592b1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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