mkatsura/imshow_contour.ipynb

## imshow_contour.ipynb
{
 "metadata": {
  "name": "imshow_contour"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# imshow\u3068pcolormesh\u3068contour(f) #\n",
      "\u6842\u8aa0\n",
      "\n",
      "[INDEX](https://sites.google.com/site/makotokatsura4ipythonnotebook/ipythonnb4jpnexp)\n",
      "\n",
      "y\u304cx\u306b\u4f9d\u5b58\u3059\u308b\u5834\u5408\u3001plt.plot\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u304c\u3001z\u304cx\u3001y\u306b\u4f9d\u5b58\u3059\u308b\u5834\u5408\u306b\u306f\u3069\u3046\u3044\u3046\u30b0\u30e9\u30d5\u304c\u826f\u3044\u3067\u3057\u3087\u3046\u304b\uff1f\n",
      "\u4eca\u56de\u306f\n",
      "[imshow](http://matplotlib.org/api/pyplot_api.html?highlight=contour#matplotlib.pyplot.imshow)\n",
      "\u3068\n",
      "[pcolormesh](http://matplotlib.org/api/pyplot_api.html?highlight=contour#matplotlib.pyplot.pcolormesh)\n",
      "\u3068\n",
      "[contour](http://matplotlib.org/api/pyplot_api.html?highlight=contour#matplotlib.pyplot.contour)\n",
      "\u3068\n",
      "[contourf](http://matplotlib.org/api/pyplot_api.html?highlight=contour#matplotlib.pyplot.contourf)\n",
      "\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u307e\u305a\u306f\u7591\u4f3c\u30c7\u30fc\u30bf\u3092\u3064\u304f\u308a\u307e\u3057\u3087\u3046\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.core.display import Image \n",
      "def save_and_display(filename,dpi=50):\n",
      "    import matplotlib.pyplot as plt\n",
      "    plt.savefig(filename,dpi=dpi)\n",
      "    return Image(filename=filename)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sizex=25.0# \u30c7\u30fc\u30bf\u306e\u6a2a(x),\u7e26(y)\u306e\u30b5\u30a4\u30ba\n",
      "sizey=15.0#\n",
      "\"\"\"\n",
      "    xy\u5e73\u9762\u5185\u306b50\u500b\u306e\u5c71\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u4f5c\u308b\n",
      "\"\"\"\n",
      "x0=np.random.randint(sizex+1,size=50)\n",
      "y0=np.random.randint(sizey+1,size=50)\n",
      "#x0=np.random.random(50)*sizex#\u5c71\u306e\u9802\u70b9\u306ex\u5ea7\u6a19\n",
      "#y0=np.random.random(50)*sizey#\u5c71\u306e\u9802\u70b9\u306ey\u5ea7\u6a19\n",
      "z0=np.random.random(50)*sizey*0.1#\u5c71\u306e\u9ad8\u3055\u306e\u5e45\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\n",
      "\n",
      "M=np.zeros((sizey,sizex))#\u30c7\u30fc\u30bf\u306e\u521d\u671f\u5316\u3002\u3059\u3079\u3066\u30bc\u30ed\u3002\n",
      "def lorentz(x,y,x0,y0,width,height):\n",
      "    return height/(1+((x-x0)/width)**2+((y-y0)/width)**2)\n",
      "\n",
      "for j,_m in enumerate(M):\n",
      "    for i,m in enumerate(_m):\n",
      "        for xyz in zip(x0,y0,z0):\n",
      "            M[j,i]=M[j,i]+lorentz(i,j,xyz[0],xyz[1],xyz[2],xyz[2])\n",
      "            \n",
      "            "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print(M.shape)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(15, 25)\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.imshow(M,origin='lower',interpolation='none')\n",
      "plt.colorbar()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "<matplotlib.colorbar.Colorbar instance at 0x04C80B48>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img=save_and_display('test.png',dpi=100)\n",
      "img"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": 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NN3T11Vfrnnvu0dGjR/X000+ra9euuu2223xZPgAAqEHsWwPiOevXJk6cqNTU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\n",
       "prompt_number": 5,
       "text": [
        "<IPython.core.display.Image at 0x4d34c90>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.pcolormesh(M)\n",
      "plt.colorbar()\n",
      "plt.xlim(1,sizex)\n",
      "plt.ylim(1,sizey)\n",
      "ax=plt.gca()\n",
      "ax.set_aspect('equal')\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img=save_and_display('test.png',dpi=100)\n",
      "img"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": 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D2XfPTHlbNq+wrdmIa9R8xDXWDBYAAFTPwcXSocUVt/kKnBnLyUNQgEWrYNEB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\ngGL+BkAjUV3VXFHlAAAAAElFTkSuQmCC\n",
       "prompt_number": 8,
       "text": [
        "<IPython.core.display.Image at 0x4d4ff10>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.contourf(M)\n",
      "plt.colorbar()\n",
      "ax=plt.gca()\n",
      "ax.set_aspect('equal')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img=save_and_display('test.png',dpi=100)\n",
      "img"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": 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R/fWvf9VHH32kY445xkL1bnGpex7+C+qQLBuBgOtE4BW//35TCR829/V8fwA3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\n",
       "prompt_number": 11,
       "text": [
        "<IPython.core.display.Image at 0x4cae330>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.contour(M)\n",
      "plt.colorbar()\n",
      "ax=plt.gca()\n",
      "ax.set_aspect('equal')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img=save_and_display('test.png',dpi=100)\n",
      "img"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": 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HCPkEwp87bWcbLC+D/3sahm6HqEbOfxM1sW4ZbHgXpsyEqv7vl+2Bo3+HgKshsnelF4fq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\nGwUQERERERGxzf8DWzIdrkV569AAAAAASUVORK5CYII=\n",
       "prompt_number": 14,
       "text": [
        "<IPython.core.display.Image at 0x5124790>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "imshow\u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u306e\u539f\u70b9\u306f\u5de6\u4e0a\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002\n",
      "\u4e0a\u306e\u4f8b\u306e\u3088\u3046\u306b\u3001\n",
      "\n",
      "> origin='lower'\n",
      "\n",
      "\u3068\u3059\u308c\u3070\u5de6\u4e0b\u306b\u306a\u308a\u3001contour\u3001contourf\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u3053\u306e\u3088\u3046\u306b\u30014\u3064\u306e\u95a2\u6570\u306f\u3068\u3066\u3082\u3088\u304f\u4f3c\u3066\u3044\u307e\u3059\u3002\n",
      "\u3057\u304b\u3057\u3001\u3088\u304f\u898b\u308b\u3068pcolormesh\u306e\u307f\u3001\u5ea7\u6a19\u8ef8\u306e\u3068\u308a\u65b9\u304c\u4ed6\u3068\u7570\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u30d4\u30af\u30bb\u30eb\u306e\u5de6\u4e0b\u306b\u5ea7\u6a19\u70b9\u304c\u3042\u308a\u307e\u3059\u3002\n",
      "\n",
      "\u307e\u305f\u3001\uff58\uff59\u5e73\u9762\u5185\u306e\u30c7\u30fc\u30bf\u7bc4\u56f2\u3084\u30b9\u30b1\u30fc\u30eb\u3092\u5909\u3048\u308b\u3068\u9055\u3044\u304c\u73fe\u308c\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.imshow(M,origin='lower',interpolation='none',extent=(1,sizex,1,sizey))\n",
      "plt.colorbar()\n",
      "plt.xscale('log')\n",
      "plt.yscale('log')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img=save_and_display('test.png',dpi=100)\n",
      "img"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "C:\\Python27\\lib\\site-packages\\matplotlib\\image.py:336: UserWarning: Images are not supported on non-linear axes.\n",
        "  warnings.warn(\"Images are not supported on non-linear axes.\")\n"
       ]
      },
      {
       "output_type": "pyout",
       "png": 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f+bUrKAAAAHC1Yg6Ig0aPHi1J2rp1q3w+X42uiRn/f2oWc8LYGHLUyliWJC2+ZqqxrA/1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\nrkJggg==\n",
       "prompt_number": 17,
       "text": [
        "<IPython.core.display.Image at 0x6ff1630>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.pcolormesh(M)\n",
      "plt.colorbar()\n",
      "plt.xlim(1,sizex)\n",
      "plt.ylim(1,sizey)\n",
      "plt.xscale('log')\n",
      "plt.yscale('log')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img=save_and_display('test.png',dpi=100)\n",
      "img"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": 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P+Y/cs1Bh8bH12mIyxio2Y2yw3gIAAGiJ4+ukE+vqt3lKnYklBHm9Xh06dEgDBw4MaFxJ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\nmW9YcesOZjTN+wAAAABJRU5ErkJggg==\n",
       "prompt_number": 20,
       "text": [
        "<IPython.core.display.Image at 0x512ca10>"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 21
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.contourf(M)# contour\u306f\u7701\u7565\n",
      "plt.colorbar()\n",
      "plt.xscale('log')\n",
      "plt.yscale('log')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img=save_and_display('test.png',dpi=100)\n",
      "img"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": 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AAMFlWkAkuJsrrOHDFxaED6dcPWy1300AEAUBxEJ0oiwW5PHRMRBC4BfHnnuL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\n",
       "prompt_number": 23,
       "text": [
        "<IPython.core.display.Image at 0x700f490>"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 24
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "imshow\u306faxes\u306e\u4e2d\u306b\u914d\u5217\u30c7\u30fc\u30bf\u3092\u5143\u306b\u7b49\u9593\u9694\u306e\u30d4\u30af\u30bb\u30eb\u3092\u57cb\u3081\u3066\u3044\u304f\u3060\u3051\u306a\u306e\u306b\u5bfe\u3057\u3001pcolormesh,contour,contourf\u306faxes\u306e\u5ea7\u6a19\u306b\u5bfe\u3057\u3066\u30c7\u30fc\u30bf\u3092\u4e26\u3079\u3066\u304f\u308c\u307e\u3059\u3002\n",
      "\u306a\u306e\u3067\u3001imshow\u306faxes\u304c\u30ed\u30b0\u30b9\u30b1\u30fc\u30eb\u306b\u306a\u3063\u3066\u3082\u77e5\u3089\u3093\u9854\u3092\u3057\u3066\u3044\u308b\u306e\u306b\u5bfe\u3057\u3001pcolomesh, contour\uff08\uff46\uff09\u306f\u3061\u3083\u3093\u3068\u30ed\u30b0\u30b9\u30b1\u30fc\u30eb\u306e\u5ea7\u6a19\u306b\u57fa\u3065\u3044\u305f\u30d7\u30ed\u30c3\u30c8\u3092\u3057\u76f4\u3057\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "pcolormesh,contour\uff08\uff46\uff09\u3067\u306f\u3001\u5404\u30c7\u30fc\u30bf\u306b\u5bfe\u5fdc\u3059\u308bxy\u5ea7\u6a19\u3092\u660e\u78ba\u306b\u5b9a\u7fa9\u3059\u308b\u4e8b\u304c\u3067\u304d\u307e\u3059\u3002\n",
      "\n",
      "\u305f\u3060\u3057\u3001pcolormesh\u3060\u3051\u306f\u3001\u5404\u30d4\u30af\u30bb\u30eb\u306e\u5de6\u4e0b\u306e\u5ea7\u6a19\u3092\u6307\u5b9a\u3057\u3066\u3044\u308b\u306e\u3067\u3001\u901a\u5e38\u306f\u3001\u30d4\u30af\u30bb\u30eb\u306e\u771f\u3093\u4e2d\u306b\u8abf\u6574\u3057\u306a\u304a\u3059\u5fc5\u8981\u304c\u3042\u308b\u3067\u3057\u3087\u3046\u3002\n",
      "\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xs=np.logspace(0,np.log10(sizex),num=25)# \u30ed\u30b0\u30b9\u30b1\u30fc\u30eb\u3067x\u5ea7\u6a19\u306e\u5024\u3092\u6c7a\u3081\u308b\n",
      "ys=np.logspace(0,np.log10(sizey),num=15)# \u30ed\u30b0\u30b9\u30b1\u30fc\u30eb\u3067\uff59\u5ea7\u6a19\u306e\u5024\u3092\u6c7a\u3081\u308b\n",
      "#xx_m,yy_M=np.meshgrid(np.sqrt(xs[:-1]*xs[1:]),np.sqrt(ys[:-1]*ys[1:]))#\u3000xs\u3001ys\u304b\u3089\u30e1\u30c3\u30b7\u30e5\u3092\u4f5c\u308b\u3002\n",
      "xx,yy=np.meshgrid(xs,ys)#\u3000xs\u3001ys\u304b\u3089\u30e1\u30c3\u30b7\u30e5\u3092\u4f5c\u308b\u3002\n",
      "M2=np.zeros(xx.shape)#\u3000\u30e1\u30c3\u30b7\u30e5\u306e\u30b5\u30a4\u30ba\u306e\u30bc\u30ed\u30c7\u30fc\u30bf\u3092\u4f5c\u308b\u3002\n",
      "for xyz in zip(x0,y0,z0):#\u3000\u30c7\u30fc\u30bf\u3092\u8a08\u7b97\u3059\u308b\u3002\n",
      "    M2=M2+lorentz(xx,yy,xyz[0],xyz[1],xyz[2],xyz[2])\n",
      "    \n",
      "    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 25
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.contourf(xx,yy,M2)\n",
      "plt.colorbar()\n",
      "plt.xscale('log')\n",
      "plt.yscale('log')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 26
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img=save_and_display('test.png',dpi=100)\n",
      "img"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": 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NnDhRRUVF2rlzpxYsWKAVK1Zo+vTpAY0WJrECEkKshADuYGINNCyITbFwwquS1tQ6bH+C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\n",
       "prompt_number": 27,
       "text": [
        "<IPython.core.display.Image at 0x4d2a630>"
       ]
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 28
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xs_mesh=np.sqrt(xs[:-1]*xs[1:])\n",
      "xs_mesh=np.insert(xs_mesh,0,xs[0]**2/xs_mesh[0])\n",
      "xs_mesh=np.append(xs_mesh,xs[-1]**2/xs_mesh[-1])\n",
      "ys_mesh=np.sqrt(ys[:-1]*ys[1:])\n",
      "ys_mesh=np.insert(ys_mesh,0,ys[0]**2/ys_mesh[0])\n",
      "ys_mesh=np.append(ys_mesh,ys[-1]**2/ys_mesh[-1])\n",
      "\n",
      "xx_mesh,yy_mesh=np.meshgrid(xs_mesh,ys_mesh)#\u3000\u30d4\u30af\u30bb\u30eb\u306e\u771f\u3093\u4e2d(\u4eca\u56de\u306f\u76f8\u4e57\u5e73\u5747)\u3067\u8a08\u7b97\u3059\u308b\u3088\u3046\u306b\u5ea7\u6a19\u3092\u9078\u3073\u306a\u304a\u3059\u3002\n",
      "plt.pcolormesh(xx_mesh,yy_mesh,M2)#\u30e1\u30c3\u30b7\u30e5\u306e\u5ea7\u6a19\u3092\u5897\u3084\u3057\u305f\u304c\u3001\u30c7\u30fc\u30bf\u306f\u5143\u306e\u307e\u307e\u3002\u305d\u306e\u7d50\u679c\u3001\u30e1\u30c3\u30b7\u30e5\u3068\u30c7\u30fc\u30bf\u306e\u30b5\u30a4\u30ba\u304c\u7570\u306a\u308b\u3002\n",
      "plt.colorbar()\n",
      "plt.xscale('log')\n",
      "plt.yscale('log')\n",
      "plt.xlim(xs_mesh.min(),xs_mesh.max())\n",
      "plt.ylim(ys_mesh.min(),ys_mesh.max())\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 29,
       "text": [
        "(0.90781371727843896, 16.5232136445007)"
       ]
      }
     ],
     "prompt_number": 29
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img=save_and_display('test.png',dpi=100)\n",
      "img"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": 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CJHSgOShAHDRx4kRJ0rZt2+T3+4M8GgAAACD4KEAAAABsRgcElmEOyHmnT5/WggULNG7c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\nYgQIAABQjAABAACK+QPsCkgChXVFrgAAAABJRU5ErkJggg==\n",
       "prompt_number": 30,
       "text": [
        "<IPython.core.display.Image at 0x765b130>"
       ]
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.clf()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.imshow(M2,extent=(xs_mesh.min(),xs_mesh.max(),ys_mesh.min(),ys_mesh.max()),origin='lower',interpolation='none')\n",
      "plt.xscale('log')\n",
      "plt.yscale('log')\n",
      "plt.colorbar()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 32,
       "text": [
        "<matplotlib.colorbar.Colorbar instance at 0x04C80620>"
       ]
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "img=save_and_display('test.png',dpi=100)\n",
      "img"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": 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J0vcN5/UynFdiOG+p4byD5qLef+Fmc2GS+k7+m9E8/dJQjt9QTmOwDwgsw0cLAAAAgGfo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\n3WGuEHDcRQAAAABJRU5ErkJggg==\n",
       "prompt_number": 33,
       "text": [
        "<IPython.core.display.Image at 0x72b3050>"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u4eca\u5ea6\u306f\u5947\u9e97\u306a\u30d7\u30ed\u30c3\u30c8\u304c\u3067\u304d\u307e\u3057\u305f\u3002\n",
      "\u3053\u306e\u3088\u3046\u306b\u3001\u30c7\u30fc\u30bf\u306e\u9593\u9694\u304c\u4e00\u5b9a\u3067\u306a\u3044\u5834\u5408\u306b\u306fpcolormesh\u3084contour(f)\u306e\u65b9\u304c\u67d4\u8edf\u6027\u304c\u3042\u308a\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# \u5177\u4f53\u7684\u306a\u4f7f\u3044\u5206\u3051 #\n",
      "\u753b\u50cf\u8a08\u6e2c\u306e\u30c7\u30fc\u30bf\u8868\u793a\u3067\u306fimshow\u304bpcolormesh\u3092\u4f7f\u3046\u4e8b\u306b\u306a\u308b\u3068\u601d\u3044\u307e\u3059\u3002\n",
      "\n",
      "\u4eca\u56de\u306f\u7d39\u4ecb\u3057\u307e\u305b\u3093\u3067\u3057\u305f\u304c\u3001imshow\u3067\u306fRGB\u306e\u5024\u3092\u76f4\u63a5\u3001\u914d\u5217\u3067\u6307\u5b9a\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\n",
      "\u3067\u3059\u304b\u3089\u3001\u4f8b\u3048\u30703\u3064\u306e\u753b\u50cf\u30c7\u30fc\u30bf\u306bRGB\u3092\u5bfe\u5fdc\u3055\u305b\u308b\u3053\u3068\u3067\u3001\u4e92\u3044\u306e\u76f8\u95a2\u3092\u76f4\u89b3\u7684\u306b\u8868\u793a\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\n",
      "\n",
      "pcolormesh\u3060\u3068\u30c7\u30fc\u30bf\u3068\u5ea7\u6a19\u3092\u7d50\u3073\u4ed8\u3051\u3089\u308c\u307e\u3059\u304c\u3001\u30d4\u30af\u30bb\u30eb\u306e\u5de6\u4e0b\u3092\u6307\u5b9a\u3059\u308b\u306e\u3067\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\u3002\n",
      "\u4e0a\u306e\u4f8b\u3092\u898b\u308b\u3068\u3001imshow\u306bextent=\u3092\u7528\u3044\u305f\u5834\u5408\u3068\u306e\u5dee\u306f\u3042\u307e\u308a\u3042\u308a\u307e\u305b\u3093\u304c\u3001\n",
      "\u5b9f\u9a13\u30c7\u30fc\u30bf\u306e\u5834\u5408\u306b\u306fpcolormesh\u3092\u4f7f\u3046\u65b9\u304c\u3001\u5ea7\u6a19\u5909\u63db\u306a\u3069\u3092\u60f3\u5b9a\u3059\u308b\u3068\u67d4\u8edf\u6027\u304c\u3042\u3063\u3066\u3088\u3044\u306e\u3067\u306f\u306a\u3044\u304b\u3001\u3068\u601d\u3044\u307e\u3059\u3002\n",
      "\n",
      "contourf\u306f\u5ea7\u6a19\u8ef8\u306e\u6271\u3044\u306f\u697d\u3067\u3059\u304c\u3001\u30d4\u30af\u30bb\u30eb\u6bce\u306e\u30c7\u30fc\u30bf\u3092\u898b\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\n",
      "\n",
      "\u8907\u6570\u30c7\u30fc\u30bf\u9593\u306e\u76f8\u95a2\u3092\u898b\u308b\u65b9\u6cd5\u3068\u3057\u3066\u306f\u3001\n",
      "[plt.hexbin](http://matplotlib.org/api/pyplot_api.html?highlight=contour#matplotlib.pyplot.hexbin)\n",
      "\u3068\u3044\u3046\u95a2\u6570\u3082\u4fbf\u5229\u3067\u3059\u3002\n",
      "\u3053\u308c\u306f\n",
      "[hexagoal binning](http://cran.r-project.org/web/packages/hexbin/vignettes/hexagon_binning.pdf)\n",
      "\u3068\u547c\u3070\u308c\u308b\u65b0\u3057\u3044\u30d7\u30ed\u30c3\u30c8\u306e\u4ed5\u65b9\u3067\u3059\u3002\n",
      "\n",
      "\n",
      "\u89e3\u6790\u95a2\u6570\u306e\u632f\u308b\u821e\u3044\u3092\u628a\u63e1\u3057\u305f\u3044\u5834\u5408\u306b\u306f\u3001contour(f)\u304c\u6709\u7528\u306a\u4e8b\u304c\u591a\u3044\u3068\u601d\u3044\u307e\u3059\u3002\n",
      "\u4eca\u56de\u306f\u7701\u7565\u3057\u307e\u3057\u305f\u304c\u3001\u7b49\u9ad8\u7dda\u306e\u4e0a\u306b\u5024\u306e\u30e9\u30d9\u30eb\u3092\u66f8\u304f\u6a5f\u80fd\n",
      "\uff08\n",
      "[clabel](http://matplotlib.org/api/pyplot_api.html?highlight=contour#matplotlib.pyplot.clabel)\n",
      "\uff09\n",
      "\u3082\u3042\u308a\u307e\u3059\u306e\u3067\u3001\u5fc5\u8981\u306a\u65b9\u306f\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002\n"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}