{ "metadata": { "name": "", "signature": "sha256:51d9192a9845adcf6d2d32b19bf1b30f0d794aaaf08ea090c4c40b7dae881390" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Matplotlib Tutorial: 5. 3D plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The 3D plotting toolkit introduced in matplotlib version 1.0 can\n", "lead to some very nice plots. We'll explore a few of the options\n", "here: for more examples, the \n", "[matplotlib tutorial](http://matplotlib.org/mpl_toolkits/mplot3d/tutorial.html)\n", "is a great resource.\n", "\n", "Again we'll use inline plotting (though keep in mind that it can be useful to skip\n", "the \"inline\" backend to allow interactive manipulation of the 3D plots)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "\n", "from __future__ import print_function, division\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# This is the 3D plotting toolkit\n", "from mpl_toolkits import mplot3d" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just as before when we created a 2D axes and called several\n", "plotting methods on it, here we'll create some 3D axes objects\n", "and call 3D plotting routines. Below are several examples." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "3D scatter Plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The 3D scatter plot takes all the same keyword parameters as the\n", "2D scatter plot, so its use should be familiar. To create a 3D\n", "axes, we need to pass the argument ``projection='3d'``." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax = plt.axes(projection='3d')\n", "\n", "z = np.linspace(0, 1, 100)\n", "x = z * np.sin(20 * z)\n", "y = z * np.cos(20 * z)\n", "\n", "c = x + y\n", "\n", "ax.scatter(x, y, z, c=c)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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tvZbGxv088cSrPPHEA0mnuijnlk7Jbk8gfMTQtYuwUtc1ERL5O2MJsfQXzd1s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\nCgoKbkQxugoKCgpu5P8BltB1xcpNLVkAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "3D Line Plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Like the 2D and 3D ``scatter`` command, the 2D and 3D ``plot`` command\n", "have the same argument structure. Thus plotting a 3D line plot is\n", "straightforward:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax = plt.axes(projection='3d')\n", "\n", "ax.plot(x, y, z, '-b');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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55yk491wZpdL4IJNnOV3gLlV/u1ySPNi/KZdOwECZkm4q90KqKL+d1qvVRA36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\nl1/+/+2de1ATZxfGn024lPtFQMQrAgpVQOXmWAVpjVVURql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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Surface Plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Surface plots are connected plots of x, y, and z coordinates.\n", "They can be used to make some pretty interesting shapes:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.outer(np.linspace(-2, 2, 30), np.ones(30))\n", "y = x.copy().T\n", "z = np.cos(x ** 2 + y ** 2)\n", "\n", "fig = plt.figure()\n", "ax = plt.axes(projection='3d')\n", "\n", "ax.plot_surface(x, y, z, cmap='cubehelix', rstride=1, cstride=1, linewidth=0);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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kh3/4h2m323z+85/nU5/6VO1+P/3TP82VK1c2tvMXf/EX/NIv/RIAP/VTP0W/32d3d5cn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\n6aefLpuBNlLThd/r8TfQHcEQQ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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Wire-frame plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wire-frame plots draw lines between nearby points. They can be displayed using the\n", "``plot_wireframe`` method. Here we'll plot a parametrized sphere:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "u = np.linspace(0, np.pi, 30)\n", "v = np.linspace(0, 2 * np.pi, 30)\n", "\n", "x = np.outer(np.sin(u), np.sin(v))\n", "y = np.outer(np.sin(u), np.cos(v))\n", "z = np.outer(np.cos(u), np.ones_like(v))\n", "\n", "\n", "fig = plt.figure()\n", "ax = plt.axes(projection='3d')\n", "\n", "ax.plot_wireframe(x, y, z);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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SUqWgSROTv/+W2L1bokoVk9KlLVJThTUYieSQVenSFpUri6n50qUqV16pUb68INsvv1Qp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\nh5MLXq/An8qUcenSxSQpyWXZMo2ZMzWOH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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## More 3D Plot Examples\n", "\n", "There are many more 3D plotting examples to explore; see the [matplotlib documentation](http://matplotlib.org/1.4.0/mpl_toolkits/mplot3d/index.html) for more information." ] } ], "metadata": {} } ] }