create_disjunct_areas.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "import shapely as sp\n",
    "import geopandas as gp\n",
    "\n",
    "from shapely.geometry import Polygon\n",
    "from copy import deepcopy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Some helper functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [],
   "source": [
    "def show_rectangles(geo_list):\n",
    "    counter = 0\n",
    "    gs = gp.GeoSeries()\n",
    "    for geo in geo_list:\n",
    "        gs[str(counter)] = geo\n",
    "        counter+=1\n",
    "    gs.plot(cmap='OrRd')        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [],
   "source": [
    "def show_list(geo_list):\n",
    "    for geo in geo_list:\n",
    "        gs = gp.GeoSeries()\n",
    "        gs['entry'] = geo\n",
    "        gs.plot(cmap='OrRd')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setting up the szene"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [],
   "source": [
    "geo_list = (Polygon([(1.0, 1.0), (1.0, 2.0), (2.0, 2.0), (2.0,1.0)]),\n",
    "            Polygon([(1.5, 1.5), (1.5, 2.5), (2.5, 2.5), (2.5,1.5)]),\n",
    "            Polygon([(0.5, 0.5), (0.5, 1.5), (1.5, 1.5), (1.5,0.5)]),\n",
    "            Polygon([(2.5, 0.5), (2.5, 1.5), (3.5, 1.5), (3.5, 0.5)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_rectangles(geo_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Collecting the overlapping areas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [],
   "source": [
    "overlaps = []\n",
    "for ix, x in enumerate(geo_list):\n",
    "    for iy, y in enumerate(geo_list):\n",
    "        if ix == iy:\n",
    "            continue\n",
    "        if x.overlaps(y):\n",
    "            overlaps.append((ix,iy))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(0, 1), (0, 2), (1, 0), (2, 0)]"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "overlaps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Remove the doubles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [],
   "source": [
    "simplyfied_overlaps = {}\n",
    "for overlap in overlaps:\n",
    "    overlap_sorted = sorted(overlap)\n",
    "    key = f\"{overlap_sorted[0]}-{overlap_sorted[1]}\"\n",
    "    if key not in simplyfied_overlaps:\n",
    "        simplyfied_overlaps[key] = overlap_sorted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'0-1': [0, 1], '0-2': [0, 2]}"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "simplyfied_overlaps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create the differences"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [],
   "source": [
    "result = [None] * len(geo_list)\n",
    "for entry in simplyfied_overlaps.values():\n",
    "    result[entry[1]]= geo_list[entry[1]].difference(geo_list[entry[0]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adding the the missing areas to the result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i, geo in enumerate(result):\n",
    "    if not geo:\n",
    "        result[i] = geo_list[i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_rectangles(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_list(result)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}