perrette/mask_and_outline.ipynb

## mask_and_outline.ipynb
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Investigate conversion between mask and outline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using matplotlib backend: TkAgg\n",
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab\n",
    "%matplotlib inline\n",
    "\n",
    "%config InlineBackend.figure_format = 'png'\n",
    "#matplotlib.rcParams['figure.figsize'] = [8,6]\n",
    "import matplotlib as mpl\n",
    "mpl.rc(\"savefig\", dpi=150)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(4000, 4000)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import dimarray as da\n",
    "lab = da.read_nc('catchment_daugaard-jensen_pf.nc','labels')\n",
    "m = lab == 1\n",
    "x, y, mask = m.x, m.y, m.values\n",
    "mask.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/perrette/glacierenv/local/lib/python2.7/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  if self._edgecolors == str('face'):\n"
     ]
    },
    {
     "data": {
      "image/png": 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r/y3zh10FSSPOoCNpbN02b9OwqyBpxBl0JElSZRl0JI21VUx5B5aklgw6kiSp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\n6BwHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f40c0142290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "contourf(x*1e-3, y*1e-3, mask)\n",
    "gca().set_aspect('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mask to outline: matplotlib contour"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "\n",
    "def _mask_to_segs_cntr(x, y, mask):\n",
    "    import matplotlib._cntr as cntr  # may fail in later versions\n",
    "    Y, X = np.meshgrid(y, x)\n",
    "    c = cntr.Cntr(X, Y, mask.T+0.)\n",
    "    cc = c.trace(0.5)\n",
    "    nn = len(cc)//2\n",
    "    segs, codes = cc[:nn], cc[nn:]\n",
    "    return segs\n",
    "\n",
    "def mask_to_line(x, y, mask, force_contour=False):\n",
    "    \"\"\"\n",
    "    \"\"\"\n",
    "    if not force_contour and hasattr(mpl, '_cntr'):\n",
    "        segs = _mask_to_segs_cntr(x, y, mask)\n",
    "    else:\n",
    "        cs = mpl.pyplot.contour(x,  y, mask, levels=[0.5])\n",
    "        segs = cs.allsegs[0]\n",
    "    return segs[0]  # first segment seems to be the longest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "line = mask_to_line(x, y, mask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IKGK77UZVorqmIWrRAi68EG6/XTe38LVqFV6djMkko0aNKvc7uKioiPz8/LCr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\nFufiJF82NUZEcoACgIKCAnJ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PzzgjvHrUFxaU05jfJbTVVuHWwxhjEunZM3gem6/fVJ4F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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f40dc253550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(*line.T*1e-3)\n",
    "gca().set_aspect('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Outline to mask"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "\n",
    "def line_to_mask(line, x, y):\n",
    "    mpath = mpl.path.Path(line)\n",
    "    X, Y = np.meshgrid(x, y)\n",
    "    points = np.array((X.flatten(), Y.flatten())).T\n",
    "    mask = mpath.contains_points(points).reshape(X.shape)\n",
    "    return mask"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
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      ],
      "text/plain": [
       "<shapely.geometry.polygon.LinearRing at 0x7fda0c00e810>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "LinearRing(line)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "s = 10\n",
    "mask2 = line_to_mask(line, x[::s], y[::s])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JTTxA8WsbgNMy8/7FvkK3H10dBD4IXAY8GXjPQgUi4ukUIede4LzMvDAzt2XmCHA5xbij\n65oU3U7RWp8HHleWOR8YAzYB1zd5r+dShJx7gNHMfEVm/jzwbOAI8OGI+JFFfmZJkrRGuhp0MvNb\nmXlZZn4wMycowsNCaivR7c3Mbza83u8AM8DZEfGo2vmI2AC8CUjgDZn5QF2Za4FJ4IImj71qD2De\nnZl31pX5AvB+YAh4TQd1liRJXdDtHp2luKc8tpvfc4Qi8NQ8kyKU3FkGqkbj5fEltRPlo67nUYSj\n8U7KqFhHZ3Rbsnl6ZuGbJUlaZf0YdD5J8djq4oh4XP2FiHgLRaDZm5mH6y7VluhtNh4I4CvlsX4K\n0OOBQeBAZu5vU+a8RdS9Uganh+e/jrFnktmNUx2FnfHczuB1B1engpKkda/vgk5mzgAvAO4G7oiI\nm8rZVncAvw38d+BXGoqdXR7vbvGydzfct2CZckDUDHBGOeB4fdk2wr6NQ/Nfg9PDx00Vr62S3M7W\n2HW0vCRJK6xfFwz8DvCXwE8Az607/y3gr+rH4JROK4+N52vub7ivkzK1cqeX9y56JHiV1GZabZ6e\nYXbjVHcrI0lSaVlBJyLGKaZ0dyqBSzNz3zLe85HA54AfB34PuIZiuvgTgauB6yPipzLzbUt5+aVW\na4nl+teeyaZ7WkmS1EuW26NzDkXgWIyTl/meV5TveUNmvqHu/L6IeBHwdeCtEfHBzPxGea1cx6bl\nIja1R08/rDu3UJlW5dqYAw63uPYI4ITOXmaF1e8yDuVO49tGyDOL/HbwqkGGBo7PprF7ou3eVpIk\ndeYI8HCT83PLfuVlBZ3M3LzwXSvuOeXxuJlQmXlfRHwK+H8p1rqpBZ27yuNZLV7zrIb7AL7drkw5\nLmcIuLfzBYye1eba64DXd/YyK2nbSNOdxtlTzLkHYPcsM3ObOwo7+zYOHbMAoGFIkrSwD1Cs2rLy\n+nGMziPLY6upOrXelTPqzn21PLbaHqJ2vn553m9QrLy8KSLObDLzqlbmjvbVrXcrrTu0Vndc+I7c\n2+LKXoY/OsjUwGzb8lMDs8Vg44YVjJtt5LnjY29n555is87B6WEmNy5cv30bhxjP7ex81XtcJVmS\n1p3LgNc2Of8g7TsJFtaPQecfKR5dbQZubHK91ss0VXfucxTB6NyIGG2yls5WivFDn6ydyMyHIuJm\n4OeAi4DfbVKG+jILGwA2dH77ChicHmb2jaezNUZb3jPV4WvVBxgoQk79TuSN7wssajuIrbGLK+au\nZmjPkodwSZL60gk0H77RarhH53p1enm7wb21R1aXR8Qxj84i4k3AMyhCzadr58s1dd5bfvu+iDil\nrszlFGvh3JaZX2p4r2vK4zsi4ty6MlsoprDP0GTriF6xI/eyb+MQeWYwntuP+VqKrbHr6BTybSMt\nQ05tyvhi97wCFuxZkiRpMbq6qSdARNwAPLr89izgTIrp4/9Untufma+ou/8E4M8oeloeBr5AMevq\nCcBPUoxcenVm/mHD+5wI3AI8rXzt2ygGUz+VYrXl81ts6nkt8GaKaeY3USwi+ILy8isz84YFPl/X\nNvVs1+OyFCNj5UBlgG0jTOxZvclmozRbwFqStL70/6aeAE+ieNy0mSLwJEXgqZ17Uv3NmXmEYtuF\nNwJfpJhW/gsUA4M/DjyzMeSU5Q5RDGTeSdFyL6VYFPAjwJObhZyy3FuBV1PM5no+cD7wGeCChUJO\nN610yAGI/WsXiicYLQZFNyxCKEnSYnS9R6fq1rJHp36a+GrNcqqtdHzi9pklPZparPoZXJKk9Wb5\nPTr9OBhZTazVFO7ae1x59VWr/2aSJC2TQacCOp3CvZK2xi42T69Nr44kSUtl0OlDjRtgHhja1PEU\n8ZVkyJEk9TqDTj/ZNsLgdQePCxhT3anNqjlm+ns4PkeStHQORl5lKzUYeTVmUfWikbG62V0OQpak\ndW75g5ENOqtsJYLO4PTwun1M5KwrSVrPqrGOjhZw5SPX7wyniT1R7KQ+NsqO3EuOjR6327okSa04\nRkc9b2JPMAls3b1rftfVHBs9ukqzJEkt2KPT69rsKbWeTe5mvpdHkqRWHKOzypYyRqd++vh6HZuz\nGOO5nZ1x8cI3SpL6jGN0qmXbyPyO40vd/VuSJB1l0OkFZcCZ2BM+ppIkaQU5GLnLZuY2MzUwC3u6\nXRNJkqrHoLOG7vu1LZy64dhzk/4XkCRp1fhrdg3d8V+Wui6yJElaCoPOGhueG2TokkMADF53cH4x\nQMfmLJ0zriRJrRh01tCz79rP4YEDDE4XAcdwszJ25F7DjiSpKYPOGlsvm3OulZExGDXkSJJacMHA\nVVa/YODS9y5XK5unZ5jdONXtakiSVoULBkqSJLVk0JEkSZVl0JEkSZVl0FH1lFtquLO5JMlZV6qM\nwenhctr+6NEtNdJ1diRpPTPoqK8dGNrEEPsYnB4+brf3kTEYfdV7gMnuVE6S1HU+ulJfmxqYZUfu\nPS7kALzz6u1M7Alm5jZ3oWaSpF5g0FFluTCjJMkFA1eZCwb2huG5QYYG9nW7GpKkRVn+goGO0dG6\nMDUwe8wjLEOPJK0PBh2tG1MDs/N/nmCU4blBADbNHHAbCUmqKIOO1q1a8NnHEOO5ff6809ElqToc\no7PKHKPTf9woVJJ6hZt6SpIktWTQkSRJlWXQkSRJleVg5C4ZGYPYPXHMuWbbGEiSpKUz6KyhLRfd\nBwOnFt/sdv+lXrVv4xCjTCx8oySp5xl01tLH78B5V/1hR+51mrkkVYBBp4ccGNrEVLcroWLXc0OO\nJFWCg5F7xI7ce8zKveqeyd2447kkVYRBZw3dzhZ25N5uV0MdaNwbS5LUn1wZeZW1Whm5fjftHbmX\nrbGrOxVUW+56Lknd5MrIfau+x+CKI1d3uTZqxZ4dSepvBp0uckxOf1jqf6fB6WEfVUpSlxl0pA4s\nNrAMTg9zaNdQ8Uhy28iiyu3IvQYkSVohBp0eYM9O71tMYKmtcD25G8ZzO+zpbHHIHbmXfRuLcLTY\ngCRJas6g02U5NtrtKmgF1ULOyFgRcna+6j0dl6sfkD48N9hxQJIktWbQkVZIfciZ3F30Ak3siSX1\nzDjTS5JWhkGnyyZ3d7sGWgm1MTm1kHOMBXpmmm3mOkHrnr6Zuc1FT6CPtiRpQW4BIS3T/JgcisdV\nW3cffQQ1MgbJ6HE71de78pFXNT0/wWixy/3+PCYsnX7lLJO7YXD6ILN7llf3mbnNnH7l0TFi7eop\nSf3IoCN1KM8MomFX88bemHddsYv6/pta787g9DCzG6cW/Z6Tu2FHvp2de4q9t3bkXiajuLbcXdZz\nbJTJgePPGXYkVYlBR+pQ0YtybGA5tGtoPtgMzw0yuQoz6LbGLsi6P9eZYHRJYSfHRps+Ni2ClTu3\nS6oOx+h0ychYt2ug5RqcHl6RMVY74+IFfx7mp5w30W48TzM7cm/ber/rCrcjkVQdBp0uOXH7TLer\noCWYH0+zbeS4AcTLWQ9puT8PHS9TsG1kwS1HJnfjYGdJlWHQ6YLhucEljddQ922NXauyavFa/Dzk\n2CgTe6KjQDa5Gyb2hOs8Sep77l6+yprtXj6e29kZFy/6kYN6w+bpmeN6czop0yrMNJtevlQjY/DO\nq7e3fMy11Nd0gLKk7lj+7uUGnVXWGHT+ogw5rQaDqprWKuispmZT3SVpdS0/6Pjoqhu2jRhyVNg2\nwoGhTQzPDfb8APXa4yzH7kjqJ04vl9bAlY+8ip0cXQunZmuMMrXMRf/W2sSeKDYrLS1mKnrts191\n75VdH6c2OD3M7BtPt4dKqjiDjrTKRsaA2MW7xnYR+5Ot0f9js44ZA5RFcKlpFWB25N75clvZNT9W\nbTUNTg83PX/lI6+ar8voNh/HSVVm0JFWWe0xZTFtO6jar9StsYutHLvtxTGDl7eNsONjbz9ugHRt\nIcTVCjudjn2a2BNF2AEDj1RBXR2MHBGnAL8IPBV4GjAKbAB+IzObbwB0tOwvAb8K1AYMfB34r5l5\nfZsyJwG/AWwDzgamgU8B78zM77YpdynwRuCngEPAF4B3Z+btHXzG+cHI+2c2cObriqm9E3tioaJS\n36qFnZm5zQtOZ1+Nnp2lDvBuN2hcUjf0+ayriHgS8OUml349M3+7TbnfA36FInTcDtwPPAP4EeBD\nmfnaJmVOAm6maLH9wK3AYyhC1gFgS2Z+q0m5a4C3ULT2p4GTgOcDAVyUmZ9Y4DPOBx24Hbadb8iR\nGqx02FnOTDbDjtRL+n/W1UHgg8BlwJOB9yxUICJ+kSLk3As8PTOfm5kvoeht+VvgNRHxyiZFt1O0\n1ueBx2Xmtsw8HxgDNgHH9QRFxHMpQs49wGhmviIzfx54NnAE+HBE/EinH3b/zLMZvO5gp7dL68aK\nLsTYZNXqxWi1m7yk/tTVoJOZ38rMyzLzg5k5QREeFvL68nh1Zn6l7rX+Gbi8/PbK+gIRsQF4E8XW\niG/IzAfqyl0LTAIXRMRTGt6rNuH33Zl5Z12ZLwDvB4aA13RQZwC+PXTYv0SlFhbamqJTOz729mWV\nd0NTqVq63aOzFD9NEVhuaXLtr8trT4qIs+rOP5MilNxZBqpG4+XxJbUT5aOu55WvN95JGUlLNzUw\ny47cu+yeneWuCr0aW3xI6p5+DDqnlsfvN17IzFnmx8Mcs79C7c/NxgMB1HqG6ldCezwwCBzIzP1t\nypy3UIVrnn3X/vlpuL2+OJzUDbVd2jsJG4PTw8d9rcS2Ku+6YlfLaemS+k8/Bp0DFAOBhxsvRMQj\ngX9VXj+n7tLZ5fHuFq95d8N9C5YpB0TNAGeUA44XdPjsb/voSurAfNiprcLcsBrzjtzLvo1Dx32t\nhMndsG/jkBuaShXRj0Hns+Xx3ze5Vj9e5l/V/fm08vgAzd3fcF8nZVqVa+nK+/54RTdblKpsa+xi\nYk+wI/e6k7qkJVvWgoERMQ48cRFFErg0M/ct422vBrYCF0fEXcB1wIMU6/G8C5ij+FwPL+G1lzrv\nu6NyRw4f4XD55+l3b+Dw7sPz1x4BnLDEN5eqrPaPg8ndHH00tQYrNBy8ahDck05aI0do/mt7btmv\nvNyVkc8BfnyRZU5ezhtm5pcj4tXAfwPeVn7VfJKiVV7GsWN4auN2TmnxsrVHTz9cRJlW5Vq6+oxr\nmZ9XcvLhY669jqPTySR11/DcIEMDy/n3mKTF+QDFZOaVt6ygk5mbV6oii3zfP4yIvwJeSRG0HgL+\nMjNvjIjbytu+VlfkrvJYPxOr3lkN9wF8u12ZclzOEHBvpwsYXfH9t/L/nHEtww9uYKoh6PTjM0RJ\nklbGZcBxa/1SPLB51rJeuW9/v2bm/sz8ncx8Q2aOlSHnZOBJFAsR1s+w+mp5bFwnh4bz9RvdfAOY\nBTZFxJltytzRaZ1/8Yxr+dPczqNeM8sGOObLx1ZS75gamD1uALSk1XQCHPebcQMrsSVn3wadFl5D\n8ajpo5l5qO785yjCz7kRTbeO3koxfuiTtROZ+RDFlhEBXNSiDPVlOvGuKxyMLPWDPNOtWqQq6NWg\n0/ZvmIj4t03O/QLw2xTTz/9j/bXMPAy8t/z2feVmorVyl1OshXNbZn6p4WWvKY/viIhz68psodiG\nYoYmW0e0M7m7WLl1eG5wMcUkrbFJByJLldDVTT0BIuIG4NHlt2cBZwLfAf6pPLc/M1/RUOZh4E7g\n7yimeD+RYq+re4AXZuZxCwNGxIkUqyk/rXzt2ygGUz+1LHd+i009rwXeTDHN/CaKRQRfUF5+ZWbe\nsMDnm9/U83aK7qbapoGd7OwsqbtGabaYuqS10f+bekIxpmZz+fVoikdIZ9Wde1KTMtdS9KY8A3gp\nxUO83cBPNQs5AOWjrOcAOyla7qUUiwJ+BHhys5BTlnsr8Grg6xS7lp8PfAa4YKGQ08x4bp/fGfn0\nKw05Uq9bidWWJXVP13t0qq6xR+cvcvv8poH+BSr1h9FtCXsmF75R0gqrRo+OJPUsQ47U35Y/b0sd\n23LRfRB3AuUOyU7qkHqaIUfqfwadtfTxO4BTYNsIW5vOcpfUK0bGgN2GHKnf+ehKkiRVlkFHkpp4\n59Xbu10FSSvAoLPWto244qrU48brZkdK6m8GnbV00XlM7Akmd5fP/yX1HEOOVC0GnTV05Yd/c/7P\nLi8vSdLU9Q0ZAAAgAElEQVTqM+isoZeddnW3qyBpAVtjV7H8g7uXS5Vg0OkyH2FJvWdr7GJiTzA4\nPdztqkhaJoNOF42nszqkXrZv41C3qyBpmQw6a+i8Xzv655ExHPAo9bjhucFuV0HSMrky8ho67b/c\nDtvOJ88MDl41WOy3LqknjYxBDOzrdjUkLZM9OmttzySxe4Ih/wKVetrkbpiZ29ztakhaJnt0JK17\no9ty/s+D1x2cH5szNTDbrSpJWiEGHUmq26F8dg9snp4p/vzG0929XOpzBp1u2jbiwoFSl22enoGN\nU8ecm234XlL/coxOF03scc8rqZtGxgw1UtUZdCStW+5QLlWfQUfSunXFEbdlkarOoNMlOTba7SpI\n697pVzqrSqo6g043OAhZ6ipXPJbWD2ddSVoXalPGAWYHpordyXc7dVyqOnt0umHPpBt6SmtsduPU\n/Bfg+jjSOmHQ6RI39JTWjv+wkNYvH11JqpyRseJ48KpBrj7hCv9hIa1jBp0umcBZV9Jq2Dw9c/Tx\nlIP+pXXPR1fdsG2k2zWQKmv2jad3uwqSeog9OpIqYX4HcgcZS6pj0JHU90aZMOBIaspHV93g9HJp\nxYwy0e0qSOphkZndrkOlRcSpwH3Fd7cDp8yP0XH3cml5DDlS1T0AbKl9c1pm3r/YV/DR1RobnB5m\n30YDjrRc47kd/F9J0gJ8dLWGNtx1Dvs2DnW7GlIlbI1d7Mi93a6GpB5n0FlDf332md2uglQphh1J\nCzHoSOprVxy5uttVkNTDDDqS+trQJYe6XQVJPcygI6mvzXz0xG5XQVIPM+hI6mv26Ehqx6Ajqa9N\n7AlyzE1yJTVn0OmykbFu10CSpOoy6HTRyBhM7u52LSRJqi5XRu4iQ460PMNzg8UYnd1u6CmpOXt0\nJPWtq0+4wl3LJbVl0OkSdy+XlmdkDHbGxd2uhqQeZ9DpguG5QbbGrmO+l7Q4J26f6XYVJPUBg04X\nTA3Mzv95eG6QoYF99vBIizS7carbVZDUBww6a+i8Xzv2+1pPzgSuASItxigT3a6CpD5h0FlDO3dd\ncdy5068senfqH2VJas2QI2kxDDpr6GWnHbvLci3kSOqMIUfSYrmOThe5jo50vNFtycSeOP68IUfS\nEtijs4bqx+g02/rB7SC03o2MAXsmj5uJaMiRtFQGnTXUbIxOjdtBSEcNXXKI8dzOeG435EhaFh9d\n9QBDjlR459XbYTewZ5Kde1wMUNLy2aPTJe+8+ui6OQevcsFAaXhu0JWOJa04g04X+Be6JElrw6DT\nA5xmrvWutkK4JK20yMxu16HSIuJU4L7iu9th2/nzuy27IrLWo9FtTf7OcQdySU09AGypfXNaZt6/\n2FdwMPJa8y90rWMjY8Bu/x+QtHZ8dCVp1TSuh+PAe0lrzaAjaVXUxt2MbkuG5wYZnhtk08yBbldL\n0jrT1aATEedFxM6I+OuIuDsiZiPinyPijyPimQuUPSsiPhQR+yPiwYj4RkT8VkSc2KbMSeU9fx8R\nD0XEdyPi+oj4sQXe69KI+GJE3BcR0xFxY0RsaVemE43/2pWqYGSsYXDxnkmGBvYxNLCP2Y1TXa2b\npPWnq4ORI+Ju4ExgBvgb4PvAE4AnAglcnpm/26TcvwFuBx4F3AH8H2Az8Njy/HMyc7ahzEnAzRSj\nmvYDtwKPAZ4KHAC2ZOa3mrzXNcBbKEZEfRo4CXg+EMBFmfmJBT7jsYOROeWY6zk26mKBqozx3O7S\nCZJWUP8PRv4aMAb8cWbO1U5GxGXA+4GrI+LTmfn1hnIfogg5v5uZby3LnAD8EfByYDvwmw1ltlO0\n1ueBCzPzgbLcWynWYr0eeE59gYh4LkXIuYciCN1Znj8fuAX4cETckpk/WEYbSH1v8/RM0Vtz/F6c\nktRVXX10lZk/m5l760NOef4DFL0nJwAX1V+LiM3As4B/Af5DXZkjwOuBw8CbImKgrswG4E0UvURv\nqIWcsty1wCRwQUQ8paGKtW02310LOWWZL1AEsSHgNUv46FKlHNo11O0qSFJTvTwYuTYH9dEN519c\nHv88Mw/XX8jM71E8kjoDeEbdpWdShJI7M7PZDoHj5fEltRPlo67nUYSj8U7KSOvV5G4YnB7udjUk\n6Ti9HHQeWx7/ueF8bZW9L7co95XyOLLMMo8HBoEDmbm/TZnzWrymtG6MjOFAY0k9qSeDTjnY+MUU\nvSl/1nD57PJ4d4vidzfctyplygFRM8AZ5YBjaV0aGYPY3ayjVJK6r+eCTjm25iMUvSl7M/MrDbec\nVh4foLn7G+5brTKtyknrhiFHUq9b1qyriBinmAreqQQuzcx2u/ddRzG+5k7gV5dTvTUqs4hycxRj\npY86fKQ48wiKkddSvzDkSFo5R4CHm5yfa3JucZY7vfwc4McXWebkVhci4p3AZRTjcn62xbTtck2a\nhgVpjqo9RvrhKpdpVa6NZx13ZvB3iuOv73gE23Y2+48s9R5DjqSV9QGKycwrb1lBJzM3r1RFIuIN\nFGvf/AB4YbPF+0p3AU8Czmpx/ay6+2j482LKfLtdmXJczhBwb+cLGN1Ks5x3z4NbuOvkw4zndrbG\nrs5eSuqC4blBhi455MacklbYZcBrm5x/kGadBIvRE2N0IuKXgPdSjHl5UWa2+1v0q+Xxp1tcr62F\nU/8aX2241kmZbwCzwKaIOLNNmTtaV7XRALDhuK8NG8LHVloT47m92EF8Cea3ddhjyJG00k6g2e/H\nlVjXuOtBJyJeRDH4+BDw8sy8fYEiN5bHF0fEMZtFRcT/RRH9fgDcVnfpc8BB4NyIGOV4WynGD32y\ndiIzH6LYMiJoWLSwrgz1ZZZqaGAf47l9uS8jAUUgGc/tjOf24/ZT2/mq9xC7JxYVdmqvNb93lST1\nkW7vdfVM6lZAzszGqeStyt1KMWC5fguIAWAvxRYQOzPzPzaU2Qm8neO3gLgcuBq4NTMvaCjzPOAz\nwDTFFhD/UJ7fAvwVRZ/aY9ptAbHQXlcAO3Lv/COr2i+mqYHZ4+6TakbG4OBVzTeFbQwkM3Obm16r\nP19z9QlXHPP41L2rJHXX8ve66nbQ+T7FOJd/pBjA0sytmXl9Q7lzKVLDRopHR1+n2NTzMcAXgJ9p\nsqnniRT7Uz0N+CeKHp9zKDb1vAc4v8WmntcCb6Zo7Zsopr2/oLz8ysy8YYHPuGDQGZweZt/GYgn9\n2uOBCZp1PEmF0W25Ko+Q6kO3IUdS9y0/6HT70dUQxSOjYeDSuq9L6o7PaCxU9qw8meKR1ybgFyjm\npu2kyc7lZZlDFJt27qRouZdSLAr4EeDJrQY/lz1Gr6YIU88Hzqfo5blgoZCzGLVHCVefcMUx30tN\nrdI4mavuvRIw5Eiqjq726KwHnfTozMxtZmpg9rhfLjk2yuTutamn+scoTuuWtF70f4+O6tSPjRic\nHjbkSJK0TAadHlMbIHpo11CXayJJUv8z6PSoE7fPdLsKkiT1PYNODxi65NBx52Y3Ts0PSHaNHUmS\nlsag0wv2TBpmdIyRMdg8ba+eJC2XQadH1Kb1nn7lLDtyL9B6QThVX+yeYHbj1HFhx2UHJGlxnF6+\nyjqZXl5TWziwcWfo+kXctD4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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f40b2411e90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "contourf(x[::s]*1e-3, y[::s]*1e-3, mask2)\n",
    "gca().set_aspect('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note the subsampling above, because the process is pretty slow.\n",
    "Try again after simplifying geometry."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "simplified line: 41458 --> 379 vertices\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
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      ],
      "text/plain": [
       "<shapely.geometry.linestring.LineString at 0x7fd9fd7d2d10>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lines = LineString(line).simplify(1e3)\n",
    "print 'simplified line:', line.size, '-->', len(lines.coords), 'vertices'\n",
    "lines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Timing comparison (line and grid):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 loop, best of 3: 5.21 s per loop\n"
     ]
    }
   ],
   "source": [
    "%%timeit\n",
    "s = 10\n",
    "mask2 = line_to_mask(line, x[::s], y[::s])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 loops, best of 3: 123 ms per loop\n"
     ]
    }
   ],
   "source": [
    "%%timeit\n",
    "s = 10\n",
    "mask2 = line_to_mask(lines, x[::s], y[::s])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 loop, best of 3: 18.1 s per loop\n"
     ]
    }
   ],
   "source": [
    "%%timeit\n",
    "s = 1\n",
    "mask2 = line_to_mask(lines, x[::s], y[::s])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Full resolution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "s = 1\n",
    "mask2 = line_to_mask(lines, x[::s], y[::s])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7fd9f9e3da50>"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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UXp9e23dU1b5WUBrPPbWzJ3DvKMdIkiRJ09nelDn8PZuOQenXq9edgBuBZzT2nxsRx2bm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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9f9dccf10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zJopFHjpt31SeaQJzgF07P32A9GoYXbvrL1+3ns1L7ptSG87Lq/lYnNbx+ZNp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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9f95a2590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure()\n",
    "contourf(x, y, mask2)\n",
    "title('matplotlib path')\n",
    "\n",
    "figure()\n",
    "contourf(x, y, mask)\n",
    "title('original')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}