{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "import shapely\n", "import shapely.geometry" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# for plotting polygons\n", "import descartes " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Start with 2 points\n", "point1 = shapely.geometry.Point(1,1)\n", "point2 = shapely.geometry.Point(2,1)\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# plot them in matplotlib\n", "fig, ax = plt.subplots(1,1, figsize=(6,6))\n", "ax.set_xlim(0,3)\n", "ax.set_ylim(0,3)\n", "\n", "ax.plot(point1.x, point1.y, 'ro')\n", "ax.plot(point2.x, point2.y, 'bo')\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAFvCAYAAACvjLu7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# add a buffer\n", "poly1 = point1.buffer(1)\n", "# and a box around it\n", "poly2 = point2.buffer(1).envelope\n", "# plot them using descartes\n", "ax.add_patch(descartes.PolygonPatch(poly1, alpha=0.3, color='red'))\n", "ax.add_patch(descartes.PolygonPatch(poly2, alpha=0.3, color='blue'))\n", "fig" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAFvCAYAAACvjLu7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJk9EJBibPBGRYGzyRESC/X9SNcgKnQTNlwAAAABJRU5ErkJggg==\n", "prompt_number": 5, "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# compute the intersection and add it on top\n", "poly1_and_poly2 = poly1.intersection(poly2)\n", "patch = descartes.PolygonPatch(poly1_and_poly2, alpha=0.5, facecolor='white', edgecolor='green', linewidth=3)\n", "ax.add_patch(patch)\n", "fig" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAFvCAYAAACvjLu7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "prompt_number": 6, "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "# let's warp a bit\n", "from shapely.affinity import skew, translate, scale \n", "poly3 = skew(scale(translate(poly1, xoff=0.5, yoff=1), xfact=0.5, yfact=0.8), ys=-0.125*np.pi, origin=(1,1), use_radians=True)\n", "patch = descartes.PolygonPatch(poly3, alpha=0.5, color='yellow')\n", "ax.add_patch(patch)\n", "fig" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAFvCAYAAACvjLu7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "prompt_number": 7, "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "# add all the polygons together\n", "import shapely.ops\n", "total = shapely.ops.cascaded_union([poly1, poly2, poly3])\n", "total = total.buffer(-0.25)\n", "patch = descartes.PolygonPatch(total, facecolor=\"black\", alpha=0.5)\n", "ax.add_patch(patch)\n", "fig\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAFvCAYAAACvjLu7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSS4mi7wkSZKLySIvSZLkYv8HZqBIAOhdAOAAAAAASUVORK5CYII=\n", "prompt_number": 8, "text": [ "" ] } ], "prompt_number": 8 } ], "metadata": {} } ] }