2017-05-27_Shapely.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from shapely.geometry import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-0.16 -0.16 4.32 3.3200000000000003\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,3.0)\"><g><circle cx=\"0.0\" cy=\"3.0\" r=\"0.1296\" stroke=\"#555555\" stroke-width=\"0.0432\" fill=\"#66cc99\" opacity=\"0.6\" /><circle cx=\"4.0\" cy=\"0.0\" r=\"0.1296\" stroke=\"#555555\" stroke-width=\"0.0432\" fill=\"#66cc99\" opacity=\"0.6\" /></g></g></svg>"
      ],
      "text/plain": [
       "<shapely.geometry.multipoint.MultiPoint at 0x7fbe90212eb8>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "MultiPoint([Point(0, 3), Point(4, 0)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.0"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Point(0, 3).distance(Point(4, 0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"8.8 8.8 32.400000000000006 32.400000000000006\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,50.0)\"><polyline fill=\"none\" stroke=\"#66cc99\" stroke-width=\"0.6480000000000001\" points=\"30.0,10.0 10.0,30.0 40.0,40.0\" opacity=\"0.8\" /></g></svg>"
      ],
      "text/plain": [
       "<shapely.geometry.linestring.LineString at 0x7fbe901a72e8>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "LineString([(30, 10), (10, 30), (40, 40)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"8.8 8.8 32.400000000000006 32.400000000000006\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,50.0)\"><polyline fill=\"none\" stroke=\"#66cc99\" stroke-width=\"0.6480000000000001\" points=\"30.0,10.0 10.0,30.0 40.0,40.0 30.0,10.0\" opacity=\"0.8\" /></g></svg>"
      ],
      "text/plain": [
       "<shapely.geometry.polygon.LinearRing at 0x7fbe901a7208>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "LinearRing([(30, 10), (10, 30), (40, 40)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-1.6 -1.6 33.2 43.2\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,40.0)\"><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"0.8640000000000001\" opacity=\"0.6\" d=\"M 0.0,0.0 L 30.0,0.0 L 0.0,40.0 L 0.0,0.0 z\" /></g></svg>"
      ],
      "text/plain": [
       "<shapely.geometry.polygon.Polygon at 0x7fbe901a7400>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Polygon([(0, 0), (30, 0), (0, 40)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-1.6 -1.6 33.2 43.2\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,40.0)\"><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"0.8640000000000001\" opacity=\"0.6\" d=\"M 0.0,0.0 L 30.0,0.0 L 0.0,40.0 L 0.0,0.0 z M 1.0,1.0 L 5.0,7.0 L 10.0,10.0 L 7.0,5.0 L 1.0,1.0 z\" /></g></svg>"
      ],
      "text/plain": [
       "<shapely.geometry.polygon.Polygon at 0x7fbe901a78d0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p = Polygon([(0, 0), (30, 0), (0, 40)], [[(1, 1), (5, 7), (10, 10), (7, 5)]])\n",
    "p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "582.0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p.area"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "600.0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Polygon(p.exterior).area"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[18.0]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[Polygon(a).area for a in p.interiors]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-0.24 1.76 6.48 6.48\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,10.0)\"><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"0.12960000000000002\" opacity=\"0.6\" d=\"M 6.0,5.0 L 5.985554180016591,4.705948579011318 L 5.942355841209691,4.414729033951616 L 5.870821007196627,4.129145968236614 L 5.771638597533861,3.851949702904732 L 5.645763793045066,3.5858097895220085 L 5.4944088369076365,3.333289300941195 L 5.319031360088212,3.096820147509065 L 5.121320343559645,2.8786796564403594 L 4.903179852490939,2.680968639911791 L 4.666710699058809,2.505591163092366 L 4.4141902104779955,2.3542362069549365 L 4.148050297095272,2.228361402466141 L 3.8708540317633906,2.1291789928033746 L 3.585270966048389,2.0576441587903096 L 3.294051420988686,2.01444581998341 L 3.000000000000005,2.0 L 2.7059485790113236,2.014445819983409 L 2.4147290339516205,2.057644158790308 L 2.1291459682366183,2.129178992803372 L 1.8519497029047365,2.2283614024661373 L 1.585809789522013,2.3542362069549316 L 1.3332893009411984,2.505591163092361 L 1.0968201475090682,2.6809686399117854 L 0.8786796564403612,2.8786796564403536 L 0.6809686399117925,3.0968201475090593 L 0.5055911630923671,3.333289300941189 L 0.35423620695493696,3.5858097895220027 L 0.22836140246614134,3.8519497029047267 L 0.12917899280337464,4.1291459682366085 L 0.057644158790309596,4.414729033951612 L 0.014445819983409436,4.705948579011315 L 0.0,4.999999999999997 L 0.014445819983409436,5.294051420988679 L 0.05764415879030782,5.585270966048382 L 0.12917899280337286,5.870854031763385 L 0.22836140246613912,6.148050297095268 L 0.3542362069549343,6.414190210477992 L 0.5055911630923635,6.666710699058806 L 0.6809686399117885,6.903179852490936 L 0.8786796564403572,7.121320343559642 L 1.0968201475090622,7.31903136008821 L 1.3332893009411912,7.494408836907635 L 1.585809789522004,7.645763793045063 L 1.8519497029047265,7.771638597533858 L 2.1291459682366076,7.870821007196625 L 2.414729033951609,7.9423558412096895 L 2.7059485790113107,7.98555418001659 L 2.9999999999999916,8.0 L 3.2940514209886724,7.9855541800165915 L 3.585270966048374,7.942355841209693 L 3.870854031763376,7.87082100719663 L 4.148050297095258,7.771638597533865 L 4.414190210477981,7.645763793045072 L 4.666710699058795,7.494408836907644 L 4.903179852490925,7.31903136008822 L 5.121320343559631,7.121320343559654 L 5.3190313600882,6.9031798524909505 L 5.494408836907626,6.666710699058822 L 5.645763793045056,6.41419021047801 L 5.771638597533852,6.148050297095288 L 5.87082100719662,5.8708540317634075 L 5.942355841209687,5.585270966048407 L 5.985554180016589,5.294051420988706 L 6.0,5.000000000000025 L 6.0,5.0 z\" /></g></svg>"
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       "<shapely.geometry.polygon.Polygon at 0x7fbe901a7630>"
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     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Point(3, 5).buffer(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-2.32 1.68 8.64 6.640000000000001\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,10.0)\"><g><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"0.1728\" opacity=\"0.6\" d=\"M 6.0,5.0 L 5.985554180016591,4.705948579011318 L 5.942355841209691,4.414729033951616 L 5.870821007196627,4.129145968236614 L 5.771638597533861,3.851949702904732 L 5.645763793045066,3.5858097895220085 L 5.4944088369076365,3.333289300941195 L 5.319031360088212,3.096820147509065 L 5.121320343559645,2.8786796564403594 L 4.903179852490939,2.680968639911791 L 4.666710699058809,2.505591163092366 L 4.4141902104779955,2.3542362069549365 L 4.148050297095272,2.228361402466141 L 3.8708540317633906,2.1291789928033746 L 3.585270966048389,2.0576441587903096 L 3.294051420988686,2.01444581998341 L 3.000000000000005,2.0 L 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      "text/plain": [
       "<shapely.geometry.collection.GeometryCollection at 0x7fbe901a7940>"
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     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "GeometryCollection([Point(3, 5).buffer(3), Point(1, 5).buffer(3)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "b1 = Point(3, 5).buffer(3)\n",
    "b2 = Point(1, 5).buffer(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
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    "b1.symmetric_difference(b2)"
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   "cell_type": "code",
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    "b1.symmetric_difference(b2).buffer(-.1)"
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  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Ring Self-intersection at or near point 1 0\n"
     ]
    },
    {
     "data": {
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       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-0.08 -0.08 2.16 2.16\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,2.0)\"><path fill-rule=\"evenodd\" fill=\"#ff3333\" stroke=\"#555555\" stroke-width=\"0.0432\" opacity=\"0.6\" d=\"M 0.0,0.0 L 1.0,0.0 L 0.0,1.0 L 0.5,1.5 L 1.5,0.5 L 1.0,0.0 L 2.0,0.0 L 2.0,2.0 L 0.0,2.0 L 0.0,0.0 z\" /></g></svg>"
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       "<shapely.geometry.polygon.Polygon at 0x7fbe901bc2b0>"
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     "execution_count": 20,
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   "source": [
    "Polygon([(0, 0), (1, 0), (0, 1), (.5, 1.5), (1.5, .5), (1, 0), (2, 0), (2, 2), (0, 2)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-0.08 -0.08 2.16 2.16\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,2.0)\"><g><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"0.0432\" opacity=\"0.6\" d=\"M 0.0,0.0 L 0.0,1.0 L 1.0,0.0 L 0.0,0.0 z\" /><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"0.0432\" opacity=\"0.6\" d=\"M 0.0,1.0 L 0.0,2.0 L 2.0,2.0 L 2.0,0.0 L 1.0,0.0 L 1.5,0.5 L 0.5,1.5 L 0.0,1.0 z\" /></g></g></svg>"
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       "<shapely.geometry.multipolygon.MultiPolygon at 0x7fbe901bc6d8>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mp = Polygon([(0, 0), (1, 0), (0, 1), (.5, 1.5), (1.5, .5), (1, 0), (2, 0), (2, 2), (0, 2)]).buffer(0)\n",
    "mp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MULTIPOLYGON (((0 0, 0 1, 1 0, 0 0)), ((0 1, 0 2, 2 2, 2 0, 1 0, 1.5 0.5, 0.5 1.5, 0 1)))\n"
     ]
    }
   ],
   "source": [
    "print(mp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<shapely.geometry.polygon.Polygon at 0x7fbe901a7da0>,\n",
       " <shapely.geometry.polygon.Polygon at 0x7fbe901a7e48>]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(mp.geoms)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
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    "b1.symmetric_difference(b2).convex_hull"
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   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
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    {
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      "text/plain": [
       "'POLYGON ((6 5, 5.985554180016591 4.705948579011318, 5.942355841209691 4.414729033951616, 5.870821007196627 4.129145968236614, 5.771638597533861 3.851949702904732, 5.645763793045066 3.585809789522008, 5.494408836907636 3.333289300941195, 5.319031360088212 3.096820147509065, 5.121320343559645 2.878679656440359, 4.903179852490939 2.680968639911791, 4.666710699058809 2.505591163092366, 4.414190210477996 2.354236206954937, 4.148050297095272 2.228361402466141, 3.870854031763391 2.129178992803375, 3.585270966048389 2.05764415879031, 3.294051420988686 2.01444581998341, 3.000000000000005 2, 2.705948579011324 2.014445819983409, 2.414729033951621 2.057644158790308, 2.129145968236618 2.129178992803372, 1.851949702904736 2.228361402466137, 1.585809789522013 2.354236206954932, 1.333289300941198 2.505591163092361, 1.096820147509068 2.680968639911785, 0.8786796564403612 2.878679656440354, 0.6809686399117925 3.096820147509059, 0.5055911630923671 3.333289300941189, 0.354236206954937 3.585809789522003, 0.2283614024661413 3.851949702904727, 0.1291789928033746 4.129145968236609, 0.0576441587903096 4.414729033951612, 0.01444581998340944 4.705948579011315, 0 4.999999999999997, 0.01444581998340944 5.294051420988679, 0.05764415879030782 5.585270966048382, 0.1291789928033729 5.870854031763385, 0.2283614024661391 6.148050297095268, 0.3542362069549343 6.414190210477992, 0.5055911630923635 6.666710699058806, 0.6809686399117885 6.903179852490936, 0.8786796564403572 7.121320343559642, 1.096820147509062 7.31903136008821, 1.333289300941191 7.494408836907635, 1.585809789522004 7.645763793045063, 1.851949702904726 7.771638597533858, 2.129145968236608 7.870821007196625, 2.414729033951609 7.94235584120969, 2.705948579011311 7.98555418001659, 2.999999999999992 8, 3.294051420988672 7.985554180016591, 3.585270966048374 7.942355841209693, 3.870854031763376 7.87082100719663, 4.148050297095258 7.771638597533865, 4.414190210477981 7.645763793045072, 4.666710699058795 7.494408836907644, 4.903179852490925 7.31903136008822, 5.121320343559631 7.121320343559654, 5.3190313600882 6.90317985249095, 5.494408836907626 6.666710699058822, 5.645763793045056 6.41419021047801, 5.771638597533852 6.148050297095288, 5.87082100719662 5.870854031763407, 5.942355841209687 5.585270966048407, 5.985554180016589 5.294051420988706, 6 5.000000000000025, 6 5))'"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b1.wkt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b1.wkb_hex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'coordinates': [(((0.0, 0.0), (0.0, 1.0), (1.0, 0.0), (0.0, 0.0)),),\n",
       "  (((0.0, 1.0),\n",
       "    (0.0, 2.0),\n",
       "    (2.0, 2.0),\n",
       "    (2.0, 0.0),\n",
       "    (1.0, 0.0),\n",
       "    (1.5, 0.5),\n",
       "    (0.5, 1.5),\n",
       "    (0.0, 1.0)),)],\n",
       " 'type': 'MultiPolygon'}"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mp.__geo_interface__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lr = LinearRing([(30, 10), (10, 30), (40, 40)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'LINEARRING (30 10, 10 30, 40 40, 30 10)'"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.wkt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 30.,  10.],\n",
       "       [ 10.,  30.],\n",
       "       [ 40.,  40.],\n",
       "       [ 30.,  10.]])"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array(lr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-0.24 1.76 6.48 6.48\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,10.0)\"><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"0.12960000000000002\" opacity=\"0.6\" d=\"M 6.0,5.0 L 5.121320343559645,2.8786796564403594 L 3.000000000000005,2.0 L 0.8786796564403612,2.8786796564403536 L 0.0,4.999999999999997 L 0.8786796564403572,7.121320343559642 L 2.9999999999999916,8.0 L 5.121320343559631,7.121320343559654 L 6.0,5.0 z\" /></g></svg>"
      ],
      "text/plain": [
       "<shapely.geometry.polygon.Polygon at 0x7fbe901bcac8>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b1.simplify(tolerance=.5)"
   ]
  }
 ],
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