{ "metadata": { "name": "", "signature": "sha256:8823ac9ab3f270975a554457a2ceb25a1f94be4cc22638b3924b4a7e723a4758" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com) for UW's [Astro 599](http://www.astro.washington.edu/users/vanderplas/Astr599_2014/) course. Source and license info is on [GitHub](https://github.com/jakevdp/2014_fall_ASTR599/)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%run talktools.py" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Introduction to matplotlib\n", "\n", "The [matplotlib](http://matplotlib.org) library is a powerful tool capable of producing complex publication-quality figures with fine layout control in two and three dimensions; here we will only provide a minimal self-contained introduction to its usage that covers the functionality needed for the rest of the book. We encourage the reader to read the tutorials included with the matplotlib documentation as well as to browse its extensive gallery of examples that include source code.\n", "\n", "Just as we typically use the shorthand `np` for Numpy, we will use `plt` for the `matplotlib.pyplot` module where the easy-to-use plotting functions reside (the library contains a rich object-oriented architecture that we don't have the space to discuss here):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### The `plot` command:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(np.random.rand(100));" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jnpqi6lkbUlQp+Lk52k+6mIvNmCYmgLGx9PeKWGLywi3adeTNtjJFkB68yIPP\nIu2ihU5AGASfLALJm0VTZZD15EnaF3WwaFQe/PQ0nWgm9RYmn9/fDzzrWflsGpkIkmOQl+xTKXg5\n39y2VYFJFo1vBZ+sg0ni5En6fiaVtgIqD14srq6L7akgvp98VzYxkZ3xIwrA5O2VIXJKJXixMLYK\nqsBQlkXTKgo+eVK6DrKmEbyrIOupU8AFF9AygKoDVmfRhKDgT5wgBTYwkL5alunFSKSl5iV4W4tG\nfl5+vy+LRnVH5sqD112UkrUxplApeFv/HdB3YBUEn3ZXkXbRbimCT/N9ZYtmctLMoimq4ENoV5A8\n+OsaZB0cBLZtI09Shs6iCUXBp9kzgL1FU1TB2+TBy2OT3+8ri8angk+2C08iWRtjiuR2ly2j/WPr\nvwvoCF5Ui+ugs91akuB1E5Eni6ZVgqxJAqxrkLWvD7joIrVNE4pFMzdH2xTz6IPgRZ69IHjbIJpt\nHrwgaOHlykTqo9lYniwaFx58UQXf1UU/Bw7kI3jVuIQ9k2bTtJWCV/nwchDCxqJpBQ9eXq/UdZDV\ndyVrFsGr1FsVQdZTp+gYFFaMyKLJInjbLJr+furT0tVlv7i5bR480DyXNgreZZDVtYL3QfAAnQt7\n9+ZX8PK4BJ+lBVrTUl9biuCXLVOribk5OunkyH+WRdNKCj5p0aiUUN4ga1qhU5kEryqMKVvBJ+0Z\nwFzBi2wHk7TH5Hw/61nAfffZjdE2Dx5onkuZ0Hz0g/edB++S4GX13N9PBG/rwYtxqSwaIF3Bp92V\ntRTB624XdaqjrEKnEAjehUVTZZB16dLwLZpkgBUwJ3jRLdEkeyN5x5THh7cNsgLpCl53zomLlZzZ\nYZpFY5v26lLB2xw3sv+9bBndVUUF7wE6i0beCWUWOsUga3GIsW3cSH8/9VTz/0OxaGQFv3w5kd+x\nY+kED5iPNznfeQneJsgq/idIT55rcbGQL04q/x0oFmR15cHr0iST6zSbQr5gCgWf14PPq+DbguB1\nFo18UIod3C6FTsnvX1azMR9BVsZIxf/0p83/D8WikRV8RweR/N69ZgRvMl7ZorEleF1ATtiXs7Nk\naSYXBUlT8ID6Yu6a4MtU8CF58ILYsxR8tGhyWDQuCp0GBuiktCmecA3ZonG54EdZhU5ibCqbJhSL\nRlbwANk0u3e7VfDiIrJ5M5HRyIj5GHUWDdCYM3FnK4LFsgcvz7XqvCtC8HmCrLYefFqapAsP3qWC\nX706neDOU4++AAAgAElEQVTbRsHbEPzkZDmFTh0di9fnLBumFk2eBT/KtGgANcGHYtHICh6gTJon\nn/Rj0TAGXHYZ8Pd/b54umaZ0BYnKClpW8PIFQrWv0wJ/vtIkq1Lwsgcv6jZsoRrXxASwbl1MkwSg\n9+DlCbDpRVNUwQPV2zRyFo18AM/OEkHolB2QT8G7DLJmEXwIFk0RBW+aKilnLX3qU8C3vw284Q1m\n709T8IJEZYJN8+AB9wo+b7tgV3nwpscN54szhcS+cVnotH59VPAAzD14sSblxIT/NEmg+p7wyYNf\n5cEnPW4dQlHw558PPPRQcxMlnUVTRZBVVvCDg8C+fdmNp/JYNACpu+FhaomwYwfw4IPAbbcBH/gA\n8Gd/tvj9OjIAzBV8VR58aAp+dpZiF8nzRuwbV4VOUcEnoLNoVAd1Xx9lN/gudAL894S/9NL0A0C2\naOQTJct/B9Lz4FWFTj6CrABdTE4/HXjsscb/dRZN1UFWgAh+bs6NRcO5urBs6VLgi18EnvEMIvmP\nfIR8+b/5m8XWjY4MxBh0Ct4VwftqNlZFHrxqLl0r+PHxbAVvkyY5N2cXs8lCEASvOyiPHy9Hwfu0\naDgH7r47fadlWTQmBK+yaGZm6ERWzUt3N/3PRbtSkQcvcMEFwAMPNB6HbtEAbrJopqdJMapO5s5O\n4EMfIjvo9tvpb9VnmgRZVQpeV+gElBNkdangdWmStgSvEo7JRnO20Cn4DRvcFTqNjFD2lSuUbtHo\nPHh5R/T2ZhO8iyAr4JfgJyaI5OXc8CSyCp2yAqyA+mARfrDK2mHMnU0jX4A2bSLbQ0C36HYIQVYb\ngs8ar64thA6qfe0iyGqi4ItUV5bRbExH8CtWmAsD1Xfs76d9lBbP0kHnwa9b507By2KpKIJW8FkW\njVCtnIdL8GJlmjSCz+pFk1fB6/x3AV8Ef8YZzQSv2r+hKHjhvbsi+LT5lqEiDNMga/JYzwqy2nrw\nJlk0tt1BXQVZV660U/DyXC5bls+eUY1rfp7Gsnatu0Ink3PdBkETfJaCFwEUMUmqA9YEPoOsJgSf\n1Ysmq5QeUB8sVRH86acvJvgQLJoiCt4kKKzr+6ODLcGnWTRpCt5HFo1toZOrPHgbgtd58HkJXt5f\nJ0/S3A4MuCt0qj3Bm6RJAvQlT5zIvup3ddHk5lXvgN88eFOCF+Pv6mpUKwocO0Z3GWnIQ/CuAq0q\nBb9/f+NxKBaNzoNnLNtaCcmikT3wrEKnMrJoTFoV2Fo0cgA6j4JXefB5/PfkuATE/u7vd5cm6Zrg\nc2refNClSebNogHofePjxQjeZcqgDEHwhw/rX5MkwOSqToKMTBYoqNKiSVayAmoFH4pFo1Lwaas5\nCYRm0dgUOtkoeJMsGl2Q1ZUH39lJY5Pv/ESBUhEP/sorgTVrzN4vQ95f4nhavtxdmqR8LhVF0BaN\niTLv7i6u4MsgeFMFDyw+kI4ezSb4vBaNi2InnQcvFJjOoqkiyKpS8Fn2DGBG8HksGlXw0zbImseD\nryLIanOOqsbswoNfvpzSlvNAHpMgeNcKvm2CrICZRROygh8bA047zdyDBxYHWk0smpCCrMuXkwoT\nFzedRROCgt++HfijP8p+r8l4bS0aldecJw++ikKnPEFWUwUPuCH4tLnMA/mC7EPB19qDt0mTFF/S\nxKIpS8Hv3g187Wt2nz06Cpx1lnkWDbA40JpXweuKnAR8ETzQbNOEYtGogqz9/cDb3pb93hAsGl2Q\ntcxWBZzna1VgE2QF1Hc3Ljz4IpAvyOKOraensSqdCrZpkrUleBsFn+x1nQYXQVZTorvjDuDDH7b7\n7NFR4Mwzi1k0IQdZ5+bUxVTJQKvq9jyUIKspfFk0rvPgVRcIl2mSs7PUoE+11F8ZCn5wsJhFUwTy\nRSd5x9bfr1fxNnZYyxK86qAEzDz4siyaAwfoxwYmCl4++PN48FVZNLo+OUkFH0q7YJWCN4VJzMBF\nFo2PZmMuLRpdh1cfHryqHqRokLUIVApe7O/ly/U+vI2Cb8kgqy6LBsi2aMpU8AcONKf/mWB0lEqZ\n5+b0AU2ZAPN48FUFWXWKI1nsFIpF41vBl2nRJI93l3nwWVk0ug6v7ezBA+mB1rYpdOruJq9KVppF\ngqxlK/ijR+2IaXSUqiXXrNGnSqosmuQ2Qk6TTCP4NItmyZLGykRloYiCN7VoqmhV4DKLRhC8rn+9\nKoMmOTYdbD14V1k0vj34pILXWTS2QdbaZtEAajVRNIvGhYI3OWhEwzCbbm+iCnXNGr1Nowqy5rFo\n5BOzSoLPsmgYs0+VHB8HfvQjarlrC86L3f6GoOCFSpZtkiwP3kbBd3bSj64JnY7gfSt4EesZGAjH\ng0/GXGqr4BljOxhjDzPGHmOMvSvldc9ljM0yxn497fNsCT6kQqcDByjl0caHHxvLJvg0D35+nip6\nswheBL6SJ2YZQda8Fg1gbtPceCM1MFu7Fnjta4E3vSnfOHt6Gmub2sI0TdIFwZeh4HUED6RfzNII\n3mcevNhuX184Hnwy5uJSwZdG8IyxTgA3ANgB4DwA1zDGztW87v0A/gNAak2gKlWyqEVTVMF3dRGR\nprXO5bzRytOG4EdHaednEbzcPEocSKOjRMQmfXZkm6YMBa9Txaefnm7RAOaZNB/6EK2MND5Oaap5\n+gapipxs4Muikee/6jx48Xm6TJq0IKtLBS/PjSA+3ZKWum26JnjfHnzZQdZLADzOOd/FOZ8BcAuA\nVype9wcA/h1ASq4IwVTBi4Mo66BwUehk0jpXtE0480x7gs9j0YiTxSTAKiAfMFUGWTdsAA4doltr\nnf9qouAffZROnBe+kO5SVq7MtziLLfnKMM2isVHwKmswbx68a4JPU/BpF2udd1/Ug89D8K49eDHP\n8/P02JcHXybBnwFgT+Lx3oXnfgnG2Bkg0v/4wlOpywurCF6Xu9vdTSd1GlwoeLG9NII/cIBIa8OG\nfAS/enV6kFVn0Zj47wKygh8bK8eDVynjri4a96FDdmliMm67DXjpSxvHgSB400WsBYoEWIHyPPi8\nefCugqzi82wtms5O2ke6u+CiHrwgPlU7bR1cWzSiT5TYvo80ybKDrCan0YcBvJtzzkH2TKpFY+PB\nm5C2iyCr2J5PgrexaJIHkUkGjYB8wBw8SIsR6OAzyAo0fHidRWOi4L/yFeDlL2887upq9CmyQZEU\nSaC8LJq8efBZhU6mQVYgPVVSR/BifKr3zc2R6rVp5y3f3SQJfmrK7ALvmuCBxQSfDLKGWOiUNeX7\nAGxKPN4EUvFJPBvALYwqXVYD+DXG2Azn/Fb5w3bu3Im9e4GbbgI6OoYwNDQEoBjBuwiyiu2lkd3I\niD3BT03Rwd3ba2fRJFWKrUUjFPzcHN0xrF2rf73PICtABL93r/4AzyL448dpucMXvrD5eaHiTZqE\nCdRFwRddsk+XB+87yCrGNz29eJ6FVZLVsTMJnYIXnSZN7BfXHrw8LjnIumuXfhw2Cv7BB4cxPDzs\nZLxZBH8PgO2Msa0A9gO4GsA1yRdwzs8UfzPGPg3gKypyB4jgH3oIeNWrgAVuB6An+KwMGqBcBb9+\nvR3BiwwaxuyzaMQJa2vRiAPmqafowpCmmnwr+NNPp4O+q0t9cmeR5h13AM9//mLCEAu0bNmif+/I\nCPAP/wC873302IWCLyOLxtSisSl06u1teMfC6spL8Logq3ifao5s/XeAjinRrA5oPs7EvGV9pmsP\nPrltwF+h0xVXDOGii4Z++dz111+fe7ypFg3nfBbAdQBuB/AggC9wzh9ijF3LGLs2zwZdWzRlKfg8\nFo0geKCYRZMnyCrGmwafQVaAFPwTT+j3TZaC/+pXm+0ZgVWrsgOtDz8MfPCDje9XNMiadTHivFqL\nJk3Bi5qD5LZcB1nFOFTvs/XfAb2CF9sx8eF9WDTJcfkIspbeqoBz/nXO+dM452dzzt+38NyNnPMb\nFa99I+f8S2mfZ0rw27YBb35z9hco24Nft46sj7SUSoHkUnurV+crdMobZBV3HGkoQ8E/8US6ItUR\n/NwcpUS+9KWL/2eSSXPsGM3FD39Ij32nSU5NkX1gQyh58+BtC52Axfs660KiS5PM8uBV+9M2B141\nXlnBm+TCl+HB+1Dwta5kVeXBq3bEwADwLm1ZVQPd3Y0iliIwJfglS0hBHjqU/ZkiBx4gUhofV584\n8gWuiAcvDhgRM0hDGUHWNIJPI80f/pDev3nz4v+ZrKEr/i+sTN9pkrb2DOAuDz5LwQOL97VPD15G\nHgWvy4MX/zNR8Hm2mwVZwYt9Xtc0SecwVfCmEO8ri+ABc5smqeA7OoiojxxZ/Lo0i6aIgs8ieBdB\n1rRbyiIWjc6eAcwsmqNHgQsuAL7zncY4fSr4PBcQV3nwWR682FbyvPOVRePSgy9K8L4UvC7I6ipN\nMhJ8AmIHlknwp59uT/CA3ofPKnTKkybpyqI5cSL9/1kWzcREtuWgwle/CrzsZer/mVg0R4/SBeJH\nP6Ix+vbg8yr4JFGJxmu6dgp5WxUAiy/mvoKsLj14VZokUC3Bi3HNzdHni7lwkSY5P58+v3kQhEUT\ngoJX3S4LTEzQGFesoMd5FDygJnjRXTN5ALgIsppaNGlB1mPHgLPPTv+MNM/wtNNoTLp929enXuFr\ndhZ45BHg2c9Wv8/Uotm8mVT8nXf6T5N0QfBZhNTdTa+fmtJn0Zh68L6CrGV48FUGWQVPiKwskR3m\nQsGLubVJJ81CVPALSFOzgizFxLskeHEQJit2QwmyHjtGAeW09SbTFDxjpOJ1+ybZkCyJ/fspf193\ncppYNOLCODREPrzvNMk8dwi2BN/TQyQiHy95PXiXlaxp73OdRWMaZPXlwU9OLt7fWUFW1VyL5oCi\n9YFrewZoAYIvw4OX/WxTgk+mSQLqTBrdakdlpEl2dan78yfHD1BFrA5ZB+UZZ+j37ebNtM6tjN27\n1cFVAVOLZuVK4MoryYcvquCzVKMLBZ91HvT0kGiQCVZc2MW6oCYEPzPjJ8jaLh68vDzj0qUN60aG\nbp8w1pyx5DqDBgiE4IsUJJSh4PMSvImCV92+CoUyM0NzJTJxspA80UdGshU8Y+mBVlFoUjbB79lD\n7YF1MLVoVq0Cnvc8qoY9cqTYybNiRXPhjYyyLJqJicXHS0cHvU8cMy4smrxpkmUp+Ko9eHl5xo4O\nOr5UlmMavyXnrCUUvM6Dz7sjQlbwKoKXG47pKg8nJ6lUf3Awu+GagDhYRkcpUGdCOGnf2wXBp1k0\naQo+jeBNs2hWraL5P/984LvfLabgly1rEKgKriyaLAUv3idDkL+uathVFk1aEDAtTdL2/ExLkwzF\ng5f3ty5VMiv1taUIXnWVC92DL0LwSfWtUvCq21dx4tv470DjYDEJsAqkBVqFRZO2glURBb9pE5G5\n3Dhqz57iFk3S2rrySnpcRMEzRipel1WUR8EvWdK8DkGW0BHzqOvHPj6uf7+rLJq0IGtaoVOre/CA\nOtCqSqJIIjnXrqtYgQoIfnCQlGkSoXvwMmGuX0/PieCIDnktGqFQbFIkgYZFYxJgFfCt4Ldu1VtM\ny5fTySrXBmRZNMIu0a3nOjNDJ6DYruh7VETBi+3qCD6Pgpfbz5pYNIBewY+Pp2cs+Q6y6hR8O3jw\ngDpVcm6O9rMu9bXlFPzatYurQEMneJkwe3tpZ6qKlpKQCV4VZNVZNFNTdgFWoHGwmARYBdK+99gY\njaWIgn/1q6l7qA4qmyYryNrZSeStI1vZ2rriCvq7KMGrxIlAHgUPNOd7Z50HwmvXKfixMXOC9xFk\nda3gk22BQyF4WwWf9d1lgq99kHVwsLlkX0T+8+6IKiwawKzYyUTBu7RohIK3sWiygqxnn52u4LMq\nRLNiASqCz1LwQLoPL/x3gYEB4E//NL37pAl8ELyNggfoWHGl4MtsVWB7fiYDxwCNXWw3hGZjcpAV\nUKdKmtyVtZSC7+igAhgRbJybowPNNJAoI+221Qa2BG/iw6vSJI8ebbZ2dFk0wqLJq+BdWDRjY8D2\n7cUUfBZkgj95ktTRmjXp70vLpFHN23vf2yhUywvXFg2wmOCzlG5Pj17BiyCrCjZB1rQsmjztgvPe\noSePzcnJMDx4sb9Mg6y2Cr72BA/QyStsmqJN+V0qeJUqmJkhwpAJx4TgZQXf1UVX+aQKTMuDzxtk\ntbVodEHW0VEi+CIefBZkgt+zB9i4MbuaLy3QajtvpvCt4E3OBR3Bd3fbWTRFetHYtgvO48EDzWMO\nyaLRZdHoFLwpwbdEkBUgH15YFUWvsr49+IMHidzlIEkWwc/Pq0962aZRff+uLrqzOXLETsHnsWhM\nFPzBg+ol0kQ/jiJzLxN8VoqkgI1F4wqus2iAfBaNbtHrNIvGZRZNWQo+mSoZCsEnFby8v3UKvq0s\nGqCZ5IoSvG8PXkeWWQQvSuPlC4OK4OWxi+yKAwfyK3hXWTTiu6vye8XJXqR3hkrBpwVYBdIsGl8E\nn6bgQ7BobIOsZbYqyHN+tpuCb4kgK+CW4MV7i3ptOqLTkWUWwcs58AJyJo3u9rW3l3qy5E2TdBFk\nFTGEdevUNo0LxaEieBMFn2bR2MYuTLFiRfUWTehBVl8efJ5CJ58evCrIGhX8AmQPvijBd3cX78CW\nRvB5FLzsvwuYWDQAHcQHDtgHWcfG6Oe008zek6XgBwYaef8yXByQGzZQwF0QQ1aKpEAVFs3gYPUW\nTZqCTyt0ckXwedoFF/HgxdyEsqJTmoJXpUnaKviWIPikB190YdyuruL2DFAewa9f36yGdbeveS2a\nvXtpfk2zkrIqWX0r+M5OSjkVXSVtFHyaRVN2kLWIRSOOOxOxkxZkzVLwNlk0KqLmPH+74CIKnvNw\nLJq0VgWqQicbBd8yQVbXFk2VBK8KPgKLUyQFZDWcZtGcOmUfZH3ySXN7BshW8MuX+yV4oNmmMVXw\nWVk0dQmyJlVqkTx4Ww8+T5qkKI7SiQdfHvzMDG1TjLdqDz4tyFq00KklCb7ITli2TE2kthA7Tibs\ngweJ4GSInavqHgfoFfy6dc0ErzsAxElsq+B37zYPsAJ6D57zBsHrLJqiy+AJCILn3FzBp1k0vjx4\nnYLnXO3JmsBVkDVPFo3uvNOlSab572JsrrpJAg2Cl4mvag/eNsgaPfgCO2HDBmoHWxRy5ZzA8eN6\nkl25Un/LXtSi6emhH5sd3tVFB4kLBT81RXPS01Oegj96lI4Fk/bIVWTR6BT81BSpyzxCxVUevK0H\nn6dVQRbB69Iki+bBy8dZ1R68bZA1ZtEUvMq6OplVZHfihL4CMs0mSCN4U4tm5Uq74LH4HBcEnxy/\nzyAr0CB4U/UOhFXolNeeAerVqiBrvVDXCl6oZRXBh+rBxyAriJDHxujL+7iNygtbgk8LupkSfJpF\nY0tS4nNsLBpdkHVsrKGky1LwNgSvs2g4t+/CaQrRxVK28VwRvGmQVXfH59KD1yn4NC89rdCpiAef\nh+Dn5xttUFyit5e+z9iY+zRJH0FWx1/fDB0ddIIeOVI8i8YlXCt4Vapif39zlev0tPq2rLfX/s5E\nHEh1VfCmAVaATiYRgEueQKIDpo9jaskS+uzx8WYbKW8GDUCfJy6wJorzD/6AeuzLKCOLpk4evJhL\nlwtYA/R5PT3ECyZB1rZU8EDDhw9ZwXPu3qJhrNmHz7JobJBHweuCrCoFLytXHwRvquAZozsoef59\nBVgFVHdtZVo0l15KvXpkZHnwQnmKHvpZ/eBVWTRVePCTk/k8eB/2THJcnZ2Lv5NIk0yeJ21Z6AQ0\nfPiiWTQuoVombMkS/cGZx6IBmhVxWqFTKAp+2TI6oGV14uqAHBigeb7/fnMFD6htGl/+u4Aq0FqU\n4G3y4HXIUvCMLU7JtG02ZkLwZSh4E4vGJ8H39tI5Id8diEC7zTKMLRlkBRrFTiEreLFwhA5pCl6X\nBw8sJnhdoVNZHnyWghefKds0LhXH5s3AD35gruABdSaNrwwaAdVFvahFY6PgdejpIVWedi4l97Wv\nIGsoHrxvBa/b33KgNSr4gAk+zZ4B8lk0QDNZplk0tkTV3U1jsjmZdEFWefyqQKtLxbF5M23TRsGr\n5r8Mgnep4GVVXUTBJ3/rtlWE4E2CrGV58MnVnlTwyStCwasgB1pt0iRbJsgKNDz4tEWZy4Ytwee1\naJLFTjp1c/XV9qSxfj3w679u956iCn71arvt6bB5M93yqgKIOqgI3rcHr2o4lrfICbDPg9dBHEO+\nCT6Pgs/rwevSJEVVa9qdgW8Fr9uufHy0ZaET0FDwIWfR+FTwQg3rrvCXXw5cdJHZuAVWrwZuvtnu\nPbogq4mCd6k4Nm+mbdgcC6tWqS0anx686qJ+6BBZjnngyqIR85b2fnG3Nj9P6tdkIegkQvHggexA\naxkevAoyJ5gqeBdrK6gQPfgEXBO8riLTxKIpC2kKPknwcgUu4N6Dt7FngGosGlWQde9edWaLCWzz\n4HWwUfBp6l18hutCJ5cePJDtw1flwcuBf9Mgq4u1FVSo1KKpO8G7yqJxfdW2QbJjX/Lgki9Q69YB\n99zT/F6XBH/VVfaftXIlkWsSR4/SKlS+MDhI9RtJ7N0LvOQl+T7PtYJPO5fE3VoWwYt1BWTkTZMs\nouBVaZJANsH75JW+Pv1+ku8qs85vQfA+MmiAQPLgQ0mTVGXR5FHwIgCk27EmaZJlQXQHlJWXfIHy\nreDXrwde/Wq796gsmjI8eF8K3jfBmyp4QfByENMkyKp6X9FeNMkFtwWyip2qtGiSx6SpgvcRYAUC\n8OCrJrgkVAo+T5qksDd0t1vJwqGqLRpAbdPIQVa5CybgJyhkA51FU7YHH5JFk+XBmxC8CGLKKj5L\nwTOmzqFvNQ++r0+fACFbNKZpkr7OpcoIftUqItCTJ6snOIFkyhqQbdEsW0Y7J0v9yujtpW0dP169\nRQOoA62maZIhEnyZefCnTtHFMG82UbLQqQwFf/JkehVr8vPk4zqL4AG1D+/Cg5e3a2LRVKHgVRaN\niYKvlOAZYzsYYw8zxh5jjL1L8f//zhi7nzH2E8bY/2OMZeZ/dHbSZBw4EBbB23jwolxeVnRZBA80\nbJo6KXi5XUHVBK/LoinTotm3j1I7TVfQkmHbD14Hl0FW8TkyUWcFWcX7ksp6bo6ydnQZO2koGmT1\n6cHbWDRBK3jGWCeAGwDsAHAegGsYY+dKL/sFgBdwzi8C8JcA/slk42vW0AlSNcEJ2BI8oFaRNgQf\ngkWlInj5OyxdSuNMkpuvwJApqsiDly/oRewZoPmusYjqtPHg09oUJD8vj4KX3yeO7zzZIbo8eKBa\nD/7ii4ELL1T/r4iC93EumWTRXALgcc75LgBgjN0C4JUAHhIv4Jz/IPH6OwEYHfJr1lCDqaoJTiAP\nwasU/LFj2e8TnnYIFo2qmlVW8EAj0CriElUreJngp6ZoPvMWHZlAVvBFCd5lqwLATRaN+ByVB591\nrMrFTkUETKge/JvepP+fKk0yaAUP4AwAexKP9y48p8P/BPA1k42vWQPs31/fLBpArSJ167gmIcgy\nBItG7p+RXK4viXXrmhca9xX5N8XSpXT7L/aZ6APvOpc4CdcKPll2X7TZGOAmyCo+x5WCzytgBImr\njrMqPfg0yBaNqYL3dS6ZKPiUjg/NYIz9NwBvAvA81f937tz5y7+Hhoawdu1QEAQn4MqiOXAAOP30\n9PeFZNEkF70G6MRRddG84ALg3nuBoSF6XLWCZ4xEws9/TmPz7b8D9H3n5oh4enqI4M85J//niaUi\np6f9K/i+Pspcy+vBmwZZXSl4sWTksWNhefBpkC0a0zTJ5Lk0PDyM4eFhJ+MxIfh9AJI9/jaBVHwT\nFgKrNwHYwTlX1ncmCR4AxHeomuAEbNMkAbVFs38/8Nznpr9v/XrgkUfCsGi2bAGefLLxWBdDuOoq\n4DOfAf7wD+lx1QQPAG9/O/3ccUc5BM9Yw6ZZu5YI/qqrin2mIKvQs2hMg6zJ9xUVcH19+Qm+CgXf\n39+wCsVc2Fo0Q0NDGBIqCsD111+fezwmFs09ALYzxrYyxroBXA3g1uQLGGObAXwJwG9zzh833fia\nNfQ7RIIXNkVWsFSl4PfvN1fwIdzBbN0K7NrVeKzy3wFS7t/7Hp088/N0YGad8L7xtreRKv3c5/wH\nWAWSF/WiFg3QIKuyWhX4DLK6VPAAjfno0bCCrGlgrNmHt1HwlVSycs5nAVwH4HYADwL4Auf8IcbY\ntYyxaxde9hcAVgL4OGPsPsbYXSYbD5ngJyboIMo6SPISfDLIWvX3N1Xwa9bQxeCeexoBN59+twmW\nLAH+6Z+Ad7wDePxxv0VOAslAq0uCL6PZWJE0SZMgq0sPHmjUi9gGWauskE/68FUXOhn1ouGcfx3A\n16Xnbkz8/bsAftd246IDX9UEJ5AkeBP/HSA199hjzc+ZKvh9+8hnzJMj7BIqBa+7c3nhC4FvfYt8\n56rtGYFLLgFe8xrg+uuBN7zB//aEgp+ephN53bpinyfSAX3nwdtm0bgodCoqYHp76W66Lh480OzD\nVx1kraySFQhbwZsSvKzgZ2Zo54rvpsOaNdS0KoTvvmkTXWzEep1pnTCvuooIPgT/PYm/+itKjyzD\nohEKfv9+ulAXvUAnLZq8qrOzk+6mXBU6qRqOmWbRJJW1Cw8++VsgVA8eWGzRBK/gfUGQYIhpkiYp\nkgARfDLIOjJCdyZZJ31XF5W3q9qrlo3eXuC004iwNm1Kjz284AXA615HB3CVRU4yVqwAvvrV7JiJ\nCwgF78KeARrFTkVIiTFSz6YE7yvI6lrB6wi+p4eOUx2qJHjZogm+VYEvnHZatuooE7KCz8qgAeg1\nSQVvkiIpsH599Rk0AkkfXhdkBYhAL7iAVHxICh4AnvlM4Kyz/G9HLNvniuBdBFnF56QdTyKLpkiQ\n1cSDl4OsRT14QN2LJlQPPmnRZF1ohBAcH29Bgu/sJJIPleDzWDQm/ruA7QpGPpH04bOyh666Crjt\ntgnFXEsAAAxlSURBVPAIviyIZdlcE3xR1flf/5VuUbkIslah4FULYYTuwQtOMPn+ogVIS/WDF3jL\nW+zW4fSJ7m46+Ofm7Ag+adHYEHwdFTxABD883L4E79qiEUFWE+skDeefn/7/MgjehwevOs5C9uCT\nFo3Jhaa7W50p5AKVE/xf/3U5vqkJGGucbKYEv2IFKd75eXpsS/B1VPCXX05z1a4EL4KsLgl+fLwR\nKPWFMrJodM3G8kJH8KHmwQOLs2hM4h0nTrQowYcGoXJMCb6zk7I3RMBn//7sPjQCIRG8jYJfuhT4\nlV9pX4JPKvhNm7Jfn4XeXppz34RkE2SVs2hEr5w8zcaK3KWKtRNUz4fswZsWOgGR4EuFOAlMs2iA\nZpvG1oMPxaKxUfBAvjVUWwU+gqyjo/4v9slWBbYKXhBm1h1GWQo+ZA/eptAJ8EvwlaZJhghbBQ80\nMmm2brUj+I0b/ba2tcGWLcCePWQ1ZSl4AHjrW2lN3XbEihXA4cP0/devL/55guB9K86eHiJ30Uwu\nDTJRm9gzYhvt7sHbFDoBfoOskeAlJAneJE0SaM6ksUmTfMELgC98Id84XWPpUiL1gwfNFPzq1fmX\nqas7BgepLcKaNW5IpCyLRsSYxsb8Eby8KEyVCr5qgufcbBzd3ZTYES2aEpBHwQuLZmqK3mdKfB0d\n2RWvZWLrVvLhTRR8O2PFCiIuF/YMQMdcGRaN2JZPgl++fDHBF82D1wVZQ/XgRYxmdpYuqllFj2K/\nR4IvAUUsmpERumXPuz5n1diyhXx4EwXfzhBz44rgy1LwAN2pmWxL1fbXhODlvkbt6MF3ddE8Hzli\ntk8jwZcIUTZuq+CPHbPLoAkRQsGn9aKJIEU2MOCe4ENX8CZKfOtW4IknGo+LevBLl6q96ZAtGoBs\nmoMHzb67T4KPHryEvAr++HG7AGuI2LIF+NnPokVjghUr3BJ8GUFWoGEHZcWX5DRJU4tGiATOyZ6Y\nni7WwvlVrwKep1gfrtUIvqPDzwU+KngJIpXMxqZIKvg6E/zWrcBDD5n1wW93DA7W06IRBO/Lg+/v\nJ3EwMkKPi3rwg4PA9u2Ln88qdKrSgweIE0ZGzC2avj4/RW6R4CWIdSv7+rJPAoFWIfgtW4Cf/jSq\ndxNceCFw3nluPqsuFo3p6l3btjVsGl8L2mQVOlXpwQP2Ct5XTUkkeAl9fXTlNU2RBBoWjU2KZIjY\nsoUuVDHAmo1//Vfg4ovdfFbZFo3PICvQTPC+lqQUWTScq/8fikVjo+B9IHrwEgTBm/rvQEPBz87W\nm+AHBui7RAVfLqrIovEVZAXKUfAdHTRfOguoaoJfuZIqnaOCDwxFCL7uWTQA+fBRwZcLsSxdWRaN\nTw8eaE6VLOrBpyHpw09NAbt3N/5XtQcfioKPBC+hr4+sFhuCb5UsGoBOzqjgy4U4uUMKsubNogHK\nUfBAsw//wQ8Cz39+43HdPHhfq6NFgpeQV8EfPgxMTNACJnXGli1RwZcNQZxlKfipqfKCrL48eKCR\nKjk/D9x0E5HkzTfT/0KwaKKCDxB9fUTWNgTf20s7csMGv/28y8DTnkZrykaUB0GcZSl4wJ7gbYKs\nmzfTIu6zs/4V/OQk8M1vEqH+y7/Q+hJiWcKqLZqnnqreg49BVgliom2yaMTr627PAMCb39xYvCSi\nHFRB8LZZNKdOmXvpPT0kEvbu9evBC4K/6SZaGe7Zz6Z1Cj72sTA8eNO4SiT4EiEm2kbBA6QgWoHg\nOzuzmyNFuEWZFo3wem0V/KOPAkND5tsRNo1PBd/TQ4HVb34T+OQn6bn3vpfWKpiYqNaDF9W70aIJ\nDO1O8BHlow4Wzd13A899rvl2RCaNbw/+E58AfuM3GnGj888HXvxiIviqFTwQg6zBIS/BDw7WP0Uy\nohqESPAixxygrJu9e+0qd8tQ8L29wNe+RvZMEu95D33PKldLW7aM5tBkn65Y0bgguEa0aCTkJfht\n24BzznE/nojWh1gKr6wsGsBMwYs0yR/9iKp2TVt3AHQ+/Od/+vfgL7po8Z3F2WdTynKVBM8Y3dWb\n7NO3vEVfkVsUkeAlCDVlS/A33OB+LBHtAcaIeEMNst5zD/Cc59htpwwFPzgIvOxl6sw12yQJH1i1\nymyf2lw4bREJXkJeBR8RUQS9veEpeEHwd98NvOIVdtsRBO+z4Ojmm6sNpGZh1arqxxc9eAl50yQj\nIopA1FL4Rp4smjwK/owzqJ7EZ5fMnp6w605MFbxPRIKXEBV8RBUoi+BtFfzhw7T0nG18qbOT+uXb\nNClrNZh68D4RCV6COAFiP5aIMhGqRfOjH1EBUZ51hrdta3xWOyIEiyZ68BL6+4HPfz4W+0SUi7IV\nfNa2liwB5uaAu+6yt2cEtm0jC6Vdz6Wzz6Y5rBK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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Plotting a function: $f(x) = \\sin(x)$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(0, 2*np.pi, 300)\n", "y = np.sin(x)\n", "plt.plot(x, y);" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Titles, labels, etc.\n", "\n", "The most frequently used function is simply called `plot`, here is how you can make a simple plot of $\\sin(x)$ and $\\sin(x^2)$ for $x \\in [0, 2\\pi]$ with labels and a grid (we use the semicolon in the last line to suppress the display of some information that is unnecessary right now):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "y2 = np.sin(x**2)\n", "plt.plot(x, y, label=r'$\\sin(x)$')\n", "plt.plot(x, y2, label=r'$\\sin(x^2)$')\n", "plt.title('Some functions')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.grid()\n", "plt.legend();" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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vvfUWAE6ns0sT5dy5c/nggw+49dZbefXVV7nkkktYvXo1kyZNYtGiRcybNy9s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\nci0stP7eXzpjKW9UvcFLlS9x8eyLLT32WM6bcR4HWw/yXuV7jr4kRIJ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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Controlling lines and markers\n", "\n", "You can control the style, color and other properties of the markers, for example:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(0, 2*np.pi, 50)\n", "y = np.sin(x)\n", "plt.plot(x, y, linewidth=2);" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(x, y, 'o', markersize=5, color='r');" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Other plot types\n", "\n", "### Errorbars\n", "\n", "We will now see how to create a few other common plot types, such as a simple error plot:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# example data\n", "x = np.arange(0.1, 4, 0.5)\n", "y = np.exp(-x)\n", "\n", "# example variable error bar values\n", "yerr = 0.1 + 0.2*np.sqrt(x)\n", "xerr = 0.1 + yerr\n", "\n", "# First illustrate basic pyplot interface, using defaults where possible.\n", "plt.figure()\n", "plt.errorbar(x, y, xerr=0.2, yerr=0.4)\n", "plt.title(\"Simplest errorbars, 0.2 in x, 0.4 in y\");" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Log plot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(-5, 5)\n", "y = np.exp(-x**2)\n", "plt.semilogy(x, y);" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Histogram\n", "\n", "A histogram annotated with text inside the plot, using the `text` function:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mu, sigma = 100, 15\n", "x = mu + sigma * np.random.randn(10000)\n", "\n", "# the histogram of the data\n", "n, bins, patches = plt.hist(x, 50, normed=1, facecolor='g', alpha=0.75)\n", "\n", "plt.xlabel('Smarts')\n", "plt.ylabel('Probability')\n", "plt.title('Histogram of IQ')\n", "# This will put a text fragment at the position given:\n", "plt.text(55, .027, r'$\\mu=100,\\ \\sigma=15$', fontsize=14)\n", "plt.axis([40, 160, 0, 0.03])\n", "plt.grid(True)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Plotting two-dimensional arrays" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(np.random.rand(5,10), interpolation='nearest', cmap='Blues');" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "img = plt.imread('images/dessert.png')\n", "img.shape" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "(500, 319, 3)" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(img);" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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wI+w8ZlVF2jZ5TlERY2fwXZwrPeRbsCcelfao7izKWf9MKUKUjsL0nr+yJ0Hu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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Subplots\n", "Plot the r, g, b channels of the image." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1,4, figsize=(10,6))\n", "ax[0].imshow(img[:,:,0], cmap=\"Reds_r\")\n", "ax[1].imshow(img[:,:,1], cmap=\"Blues_r\")\n", "ax[2].imshow(img[:,:,2], cmap=\"Greens_r\")\n", "ax[3].imshow(img);\n", "for a in ax:\n", " a.set_xticklabels([])\n", " a.set_yticklabels([])" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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sAieEj0Q6vWewtu6ZZzetc7401svGi/PG3Xrmyc0Nd89ueX45s73ovPX8CW3r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FPsdI7pj7HTFDOeYecpdpZixnNsXmInM2yaY6cpLsthPseNJ7g895Wr4QyTFuhZjh7O0KMZNi/Z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KpCC7OCZoyw3Q8YRhal5vnNDqMVIcLgJMm+KCsKoxmHkWbZEibHMIy4BCfLhk/uOtCaB+sa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qnM/dGLBYbThLSjpBwHbPZ5MVqCondBz2hg6/9GBFon184MuvbpOma87WAnCIG8NsmdFT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53fV0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\nD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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Simple 3d plotting with matplotlib\n", "For 3D plots, you must execute at least once in your session:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d import Axes3D" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "One this has been done, you can create 3d axes with the `projection='3d'` keyword to `add_subplot`:\n", "\n", " fig = plt.figure()\n", " fig.add_subplot(...,\n", " projection='3d')\n", "\n", "Here is a simple 3D surface plot:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D\n", "from matplotlib import cm\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", "X = np.arange(-5, 5, 0.25)\n", "Y = np.arange(-5, 5, 0.25)\n", "X, Y = np.meshgrid(X, Y)\n", "R = np.sqrt(X**2 + Y**2)\n", "Z = np.sin(R)\n", "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.jet,\n", " linewidth=0, antialiased=False)\n", "ax.set_zlim3d(-1.01, 1.01);" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qVjFLxKxVrNckcgXm4OIKjp8tIdnd3Y1QqLqV3MygZjVdQKnrsjqnx+NBY2Mj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\nwnzasYh0J3PzeGJVId4shSK0KZcT6abY1GiedN8UzBONDyj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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The [matplotlib gallery](http://matplotlib.sourceforge.net/gallery.html)\n", "\n", "You can load code from the gallery using the URL, and then try it out:" ] }, { "cell_type": "code", "collapsed": true, "input": [ "%load http://matplotlib.org/mpl_examples/pie_and_polar_charts/polar_scatter_demo.py" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"\n", "Demo of scatter plot on a polar axis.\n", "\n", "Size increases radially in this example and color increases with angle (just to\n", "verify the symbols are being scattered correctly).\n", "\"\"\"\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "N = 150\n", "r = 2 * np.random.rand(N)\n", "theta = 2 * np.pi * np.random.rand(N)\n", "area = 200 * r**2 * np.random.rand(N)\n", "colors = theta\n", "\n", "ax = plt.subplot(111, polar=True)\n", "c = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.hsv)\n", "c.set_alpha(0.75)\n", "\n", "plt.show()\n" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Breakout: Image denoising\n", "\n", "**Illustrates**: 2-d image denoising, use of the numpy FFT library, array\n", "manipulations, image plotting.\n", "\n", "Let's try to denoise the following image with naive numpy manipulations:\n", "\n", "
\n", "\n", "
\n", "\n", "The convolution of an input with with a linear filter in the termporal or\n", "spatial domain is equivalent to multiplication by the Fourier transforms of the\n", "input and the filter in the spectral domain. This provides a conceptually\n", "simple way to think about filtering: transform your signal into the frequency\n", "domain, dampen the frequencies you are not interested in by multiplying the\n", "frequency spectrum by the desired weights, and then apply the inverse transform\n", "to the modified spectrum, back into the original domain. In the example below,\n", "we will simply set the weights of the frequencies we are uninterested in (the\n", "high frequency noise) to zero rather than dampening them with a smoothly\n", "varying function. Although this is not usually the best thing to do, since\n", "sharp edges in one domain usually introduce artifacts in another (eg high\n", "frequency \"ringing\"), it is easy to do and sometimes provides satisfactory\n", "results.\n", "\n", "
\n", "\n", "
\n", "\n", "High frequency noise filtering of a 2D image in the Fourier domain. The upper panels show the original image (left) and spectral power (right) and the lower panels show the same data with the high frequency power set to zero. Although the input and output images are grayscale, you can provide colormaps to `imshow` to plot them in pseudo-color, with the `cmap` argument to `imshow`, which accepts any of the colormaps found in the `matplotlib.cm` module." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise\n", "\n", "After reading the image file ``moonlanding.png``, try to produce images like\n", "the ones in the figure. We will describe the process here and provide some\n", "hints as to what you need to think about.\n", " \n", "The image in the upper left panel of the Figure is a grayscale photo of the\n", "moon landing. There is a banded pattern of high frequency noise polluting the\n", "image. In the upper right panel we see the 2D spatial frequency spectrum. The\n", "FFT output in the ``numpy.fft`` module is packed with the lower freqeuencies\n", "starting in the upper left, and proceeding to higher frequencies as one moves\n", "to the center of the spectrum (this is the most efficient way numerically to\n", "fill the output of the FFT algorithm). Because the input signal is real, the\n", "output spectrum is complex and symmetrical: the transformation values beyond\n", "the midpoint of the frequency spectrum (the Nyquist frequency) correspond to\n", "the values for negative frequencies and are simply the mirror image of the\n", "positive frequencies below the Nyquist (this is true for the 1D, 2D and ND FFTs\n", "in ``numpy``).\n", "\n", "You should compute the 2D spatial frequency spectra of the luminance image,\n", "zero out the high frequency components, and inverse transform back into the\n", "spatial domain. You can plot the input and output images with\n", "``plt.imshow``, but you should observe that if you show the power spectrum\n", "(the absolute value of the FFT) directly, you will only see white, and not the\n", "image in the Figure's upper right panel. This is due to the fact that the\n", "power spectrum has a small number of pixels with extremely high amplitude,\n", "which completely swamp the contrast (you can verify this by playing with a\n", "histogram of the data)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "\n", "import sys\n", "import numpy as np\n", "from matplotlib import pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's a handy utility for you that normalizes the peaks in the spectrum so the huge dynamic range in this image doesn't swamp the plot. You can take this as a given." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_spectrum(F, amplify=1000, ax=None):\n", " \"\"\"Normalise, amplify and plot an amplitude spectrum.\"\"\"\n", "\n", " # Note: the problem here is that we have a spectrum whose histogram is\n", " # *very* sharply peaked at small values. To get a meaningful display, a\n", " # simple strategy to improve the display quality consists of simply\n", " # amplifying the values in the array and then clipping.\n", "\n", " # Compute the magnitude of the input F (call it mag). Then, rescale mag by\n", " # amplify/maximum_of_mag.\n", " mag = abs(F) \n", " mag *= amplify/mag.max() \n", " \n", " # Next, clip all values larger than one to one.\n", " mag[mag > 1] = 1 \n", "\n", " if ax is None: ax = plt.gca()\n", " ax.imshow(mag, plt.cm.Blues)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Read in original image, convert to floating point for further\n", "manipulation; imread returns a MxNx4 RGBA image. Since the image is\n", "grayscale, just extract the 1st channel\n", "\n", "**Hints:**\n", "\n", "* use `plt.imread()` to load the file\n", "* convert to a float array with the `.astype()` method\n", "* extract all rows, all columns, 0-th plane to get the first channel\n", "* the resulting array should have 2 dimensions only\n", "\n", "(The image used below is in the github repository: i.e. a notebook downloaded\n", "from the webpage will not have the image available)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fname = 'images/moonlanding.png'\n", "# your code here, you should get this image shape when done:\n", "# Image shape: (474, 630)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the 2d FFT of the input image, look at the center of the spectrum, and simply truncate everything but the corners to zero.\n", "\n", "**Hints:** \n", "\n", "* Look for a 2-d FFT in `np.fft`.\n", "\n", "* Call this variable 'F', which is the name we'll be using below.\n", "\n", "* In the lines following, we'll make a copy of the original spectrum and truncate coefficients. \n", "\n", "* In the lines following, we'll make a copy of the original spectrum and truncate coefficients. \n", "\n", "* In Python, a complex number `z` has `z.real` and `z.imag` attributes for its real and imaginary parts. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Assign the 2d FFT to `F`\n", "#...\n", "\n", "# Define the fraction of coefficients (in each direction) we keep\n", "keep_fraction = 0.1\n", "\n", "# Call ff a copy of the original transform. Numpy arrays have a copy\n", "# method for this purpose.\n", "# ...\n", "\n", "# Set r and c to be the number of rows and columns of the array.\n", "# ....\n", "\n", "# Set to zero all rows with indices between r*keep_fraction and\n", "# r*(1-keep_fraction):\n", "#... \n", "\n", "# Similarly with the columns:\n", "#... " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reconstruct the denoised image from the filtered spectrum, keep only the\n", "real part for display.\n", "Hint: There's an inverse 2d fft in the np.fft module as well (don't\n", "forget that you only want the real part).\n", "Call the result im_new and plot the results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# im_new = # new image here, from inverse FFT of truncated data\n", "\n", "# Now, create the plots and display\n", "fig, ax = plt.subplots(2, 2, figsize=(10,7))\n", "\n", "ax[0,0].set_title('Original image')\n", "ax[0,0].imshow(im, plt.cm.gray)\n", "\n", "ax[0,1].set_title('Fourier transform')\n", "plot_spectrum(F, ax=ax[0,1])\n", "\n", "ax[1,1].set_title('Filtered Spectrum')\n", "plot_spectrum(ff, ax=ax[1,1])\n", "\n", "ax[1,0].set_title('Reconstructed Image')\n", "ax[1,0].imshow(im_new, plt.cm.gray);" ], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }