{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n", "\n", "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*\n", "\n", "*No changes were made to the contents of this notebook from the original.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Customizing Matplotlib: Configurations and Stylesheets](04.11-Settings-and-Stylesheets.ipynb) | [Contents](Index.ipynb) | [Geographic Data with Basemap](04.13-Geographic-Data-With-Basemap.ipynb) >" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Three-Dimensional Plotting in Matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib was initially designed with only two-dimensional plotting in mind.\n", "Around the time of the 1.0 release, some three-dimensional plotting utilities were built on top of Matplotlib's two-dimensional display, and the result is a convenient (if somewhat limited) set of tools for three-dimensional data visualization.\n", "three-dimensional plots are enabled by importing the ``mplot3d`` toolkit, included with the main Matplotlib installation:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from mpl_toolkits import mplot3d" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once this submodule is imported, a three-dimensional axes can be created by passing the keyword ``projection='3d'`` to any of the normal axes creation routines:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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HlSLkSpvTkx5yoWrE7LDTYv9+mUxGPE/2aloIUCWEnO3JQJNdPB7H4uIi4vE4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\nq7a2lsDAQAYMGEBxcTHJyclMnTqVZcuWWUWhcvr0aVatWsX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes(projection='3d')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this three-dimensional axes enabled, we can now plot a variety of three-dimensional plot types. \n", "Three-dimensional plotting is one of the functionalities that benefits immensely from viewing figures interactively rather than statically in the notebook; recall that to use interactive figures, you can use ``%matplotlib notebook`` rather than ``%matplotlib inline`` when running this code." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Three-dimensional Points and Lines\n", "\n", "The most basic three-dimensional plot is a line or collection of scatter plot created from sets of (x, y, z) triples.\n", "In analogy with the more common two-dimensional plots discussed earlier, these can be created using the ``ax.plot3D`` and ``ax.scatter3D`` functions.\n", "The call signature for these is nearly identical to that of their two-dimensional counterparts, so you can refer to [Simple Line Plots](04.01-Simple-Line-Plots.ipynb) and [Simple Scatter Plots](04.02-Simple-Scatter-Plots.ipynb) for more information on controlling the output.\n", "Here we'll plot a trigonometric spiral, along with some points drawn randomly near the line:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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dDW3UVKy+jkVR5K1vfSuhUIif//zn7NixQ2sKMZlMjC1N44sEqKtYCUbqK6qZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d')\n", "\n", "# Data for a three-dimensional line\n", "zline = np.linspace(0, 15, 1000)\n", "xline = np.sin(zline)\n", "yline = np.cos(zline)\n", "ax.plot3D(xline, yline, zline, 'gray')\n", "\n", "# Data for three-dimensional scattered points\n", "zdata = 15 * np.random.random(100)\n", "xdata = np.sin(zdata) + 0.1 * np.random.randn(100)\n", "ydata = np.cos(zdata) + 0.1 * np.random.randn(100)\n", "ax.scatter3D(xdata, ydata, zdata, c=zdata, cmap='Greens');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that by default, the scatter points have their transparency adjusted to give a sense of depth on the page.\n", "While the three-dimensional effect is sometimes difficult to see within a static image, an interactive view can lead to some nice intuition about the layout of the points." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Three-dimensional Contour Plots\n", "\n", "Analogous to the contour plots we explored in [Density and Contour Plots](04.04-Density-and-Contour-Plots.ipynb), ``mplot3d`` contains tools to create three-dimensional relief plots using the same inputs.\n", "Like two-dimensional ``ax.contour`` plots, ``ax.contour3D`` requires all the input data to be in the form of two-dimensional regular grids, with the Z data evaluated at each point.\n", "Here we'll show a three-dimensional contour diagram of a three-dimensional sinusoidal function:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def f(x, y):\n", " return np.sin(np.sqrt(x ** 2 + y ** 2))\n", "\n", "x = np.linspace(-6, 6, 30)\n", "y = np.linspace(-6, 6, 30)\n", "\n", "X, Y = np.meshgrid(x, y)\n", "Z = f(X, Y)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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d51DrTtIRhJC6z+fD1KlToVAo8P333+PEiRM0HTR69GjweDycPHkSwPn01M03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\nYY5AI2QNGjRomCPQCFmDBg0a5gj+H5MnQ61LoKRCAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes(projection='3d')\n", "ax.contour3D(X, Y, Z, 50, cmap='binary')\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes the default viewing angle is not optimal, in which case we can use the ``view_init`` method to set the elevation and azimuthal angles. In the following example, we'll use an elevation of 60 degrees (that is, 60 degrees above the x-y plane) and an azimuth of 35 degrees (that is, rotated 35 degrees counter-clockwise about the z-axis):" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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+n8fs7OwOC8xGkHoXd3Z2Yn19fYcXhfS+xEMPDg42DBbr6+sIh8N49tlnsbm5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\n9pDL5Xq2v8rKSixbtgwvvPAC1q9f3+FRf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"text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.view_init(60, 35)\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, note that this type of rotation can be accomplished interactively by clicking and dragging when using one of Matplotlib's interactive backends." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wireframes and Surface Plots\n", "\n", "Two other types of three-dimensional plots that work on gridded data are wireframes and surface plots.\n", "These take a grid of values and project it onto the specified three-dimensional surface, and can make the resulting three-dimensional forms quite easy to visualize.\n", "Here's an example of using a wireframe:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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JfPLJJ3h7e+Pn54dKpaK2tpZTp05RV1dHcnIyeXl5Qqh1Ot1vXjiuhIVsjhzBcSGsSS+/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\npRLXrl2DlZUVrK2taVlAo9HQ3m82kLXHhpRCoUBubi6cnZ1hb2/fLnchW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes(projection='3d')\n", "ax.plot_wireframe(X, Y, Z, color='black')\n", "ax.set_title('wireframe');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A surface plot is like a wireframe plot, but each face of the wireframe is a filled polygon.\n", "Adding a colormap to the filled polygons can aid perception of the topology of the surface being visualized:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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4sbExotEox48fr7OuatspbRdd13FqOnb4vs/MzAwzMzPs3bt3w5oWrQT5B+kx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\nYIFb7XATwiFPJmRZprGxkaKiInXTsK2tj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n", " cmap='viridis', edgecolor='none')\n", "ax.set_title('surface');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that though the grid of values for a surface plot needs to be two-dimensional, it need not be rectilinear.\n", "Here is an example of creating a partial polar grid, which when used with the ``surface3D`` plot can give us a slice into the function we're visualizing:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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rLCzMk80OkE6neyKgvVxJ1wlRxUepVCKVSnH48OGWUuhmxUeUqLtVfPSSErkT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\nYe3atd5ej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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = np.linspace(0, 6, 20)\n", "theta = np.linspace(-0.9 * np.pi, 0.8 * np.pi, 40)\n", "r, theta = np.meshgrid(r, theta)\n", "\n", "X = r * np.sin(theta)\n", "Y = r * np.cos(theta)\n", "Z = f(X, Y)\n", "\n", "ax = plt.axes(projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n", " cmap='viridis', edgecolor='none');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Surface Triangulations\n", "\n", "For some applications, the evenly sampled grids required by the above routines is overly restrictive and inconvenient.\n", "In these situations, the triangulation-based plots can be very useful.\n", "What if rather than an even draw from a Cartesian or a polar grid, we instead have a set of random draws?" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "theta = 2 * np.pi * np.random.random(1000)\n", "r = 6 * np.random.random(1000)\n", "x = np.ravel(r * np.sin(theta))\n", "y = np.ravel(r * np.cos(theta))\n", "z = f(x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could create a scatter plot of the points to get an idea of the surface we're sampling from:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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KbCMceQpXm2jdCmjoOkWWCLbjYIg8SgXIpLsJWL9YWDhrCYDYgWAGlyTCq3w1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\n0Ucffaf8Tobi2gtwcgKCHCDAt2Dx4sXKn1UqFenp6aSnpytDR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d')\n", "ax.scatter(x, y, z, c=z, cmap='viridis', linewidth=0.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This leaves a lot to be desired.\n", "The function that will help us in this case is ``ax.plot_trisurf``, which creates a surface by first finding a set of triangles formed between adjacent points (remember that x, y, and z here are one-dimensional arrays):" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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O2tTYBPLWBg2d47jdTBdIodmIFMcdTfw4CgzYHfd2Vfsgm1GxABrakDVNfbIx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\nffv2ceutt7J9+3Y+/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d')\n", "ax.plot_trisurf(x, y, z,\n", " cmap='viridis', edgecolor='none');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is certainly not as clean as when it is plotted with a grid, but the flexibility of such a triangulation allows for some really interesting three-dimensional plots.\n", "For example, it is actually possible to plot a three-dimensional Möbius strip using this, as we'll see next." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Visualizing a Möbius strip\n", "\n", "A Möbius strip is similar to a strip of paper glued into a loop with a half-twist.\n", "Topologically, it's quite interesting because despite appearances it has only a single side!\n", "Here we will visualize such an object using Matplotlib's three-dimensional tools.\n", "The key to creating the Möbius strip is to think about it's parametrization: it's a two-dimensional strip, so we need two intrinsic dimensions. Let's call them $\\theta$, which ranges from $0$ to $2\\pi$ around the loop, and $w$ which ranges from -1 to 1 across the width of the strip:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "theta = np.linspace(0, 2 * np.pi, 30)\n", "w = np.linspace(-0.25, 0.25, 8)\n", "w, theta = np.meshgrid(w, theta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now from this parametrization, we must determine the *(x, y, z)* positions of the embedded strip.\n", "\n", "Thinking about it, we might realize that there are two rotations happening: one is the position of the loop about its center (what we've called $\\theta$), while the other is the twisting of the strip about its axis (we'll call this $\\phi$). For a Möbius strip, we must have the strip makes half a twist during a full loop, or $\\Delta\\phi = \\Delta\\theta/2$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "phi = 0.5 * theta" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we use our recollection of trigonometry to derive the three-dimensional embedding.\n", "We'll define $r$, the distance of each point from the center, and use this to find the embedded $(x, y, z)$ coordinates:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# radius in x-y plane\n", "r = 1 + w * np.cos(phi)\n", "\n", "x = np.ravel(r * np.cos(theta))\n", "y = np.ravel(r * np.sin(theta))\n", "z = np.ravel(w * np.sin(phi))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, to plot the object, we must make sure the triangulation is correct. The best way to do this is to define the triangulation *within the underlying parametrization*, and then let Matplotlib project this triangulation into the three-dimensional space of the Möbius strip.\n", "This can be accomplished as follows:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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MQgXZW0Gw2fZY1X5YL++93Zbu40Y1z4A2QVyJImFAxESL9RMf7UeT+5G9JK4V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\nw5IlSxAXF6d259GXzIAMTZ/KIZ85cwZbt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# triangulate in the underlying parametrization\n", "from matplotlib.tri import Triangulation\n", "tri = Triangulation(np.ravel(w), np.ravel(theta))\n", "\n", "ax = plt.axes(projection='3d')\n", "ax.plot_trisurf(x, y, z, triangles=tri.triangles,\n", " cmap='viridis', linewidths=0.2);\n", "\n", "ax.set_xlim(-1, 1); ax.set_ylim(-1, 1); ax.set_zlim(-1, 1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Combining all of these techniques, it is possible to create and display a wide variety of three-dimensional objects and patterns in Matplotlib." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Customizing Matplotlib: Configurations and Stylesheets](04.11-Settings-and-Stylesheets.ipynb) | [Contents](Index.ipynb) | [Geographic Data with Basemap](04.13-Geographic-Data-With-Basemap.ipynb) >" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }