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@ojdo
Created August 18, 2014 16:54
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{
"metadata": {
"name": "",
"signature": "sha256:a894f3d84e3b18560bd47578be3ded87a184d67a4d8998955bf519b016caf34a"
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"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Basemap example"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.basemap import Basemap"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `Basemap` class can be used in two ways. Calling a `Basemap` object with a list of latitude/longitude coordinates, it converts them to projected x/y coordintes suitable for plotting. Second, the object provides methods for drawing coastlines, country borders, waterways and meridian lines.\n",
"\n",
"In this example, I will plot a map of Germany in the UTM zone 32, the [Universal Transverse Mercator](https://en.wikipedia.org/wiki/Universal_Transverse_Mercator_coordinate_system) coordinate system. Germany has an extent roughly from 45\u00b0 N, 5\u00b0 E to 55\u00b0 N, 17\u00b0 E, so make this the extent of the map. The central meridian for zone 32 is at 15\u00b0 E."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"bbox = (5, 46.5, 17, 55.5)\n",
"central_meridian = 15"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `Basemap` constructor must be initialised with the desired map projection (`tmerc` for Tranvsere Mercator), the map extent (`llcrnrlon`, `llcrnrlat`, `urcrnrlon`, `urcrnrlat`) and, in case of this projection, the projection center (`lon_0` and `lat_0`). \n",
"\n",
"The argument `resolution` determines the level of detail for the vector data that is loaded. Possible values are `c` for crude (default), intermediate (`i`), high (`h`), and full (`f`)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"map = Basemap(projection='tmerc', resolution='i', \n",
" llcrnrlon=bbox[0], llcrnrlat=bbox[1], \n",
" urcrnrlon=bbox[2], urcrnrlat=bbox[3], \n",
" lat_0=0, lon_0=central_meridian)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"places = [ # name, (lon, lat), label_align, label_offset\n",
" ('Berlin', (13.383333, 52.516667), 'right', (-3,-8)),\n",
" ('Cologne', (6.966667, 50.95), 'left', (3,3)),\n",
" ('Frankfurt', (8.683333, 50.116667), 'left', (3,3)),\n",
" ('Hamburg', (10.001389, 53.565278), 'left', (3,-12)),\n",
" ('Munich', (11.566667, 48.133333), 'right', (-3,3))]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"map.drawmapboundary(linewidth=0)\n",
"map.drawcountries(color=(.5,.5,.5), linewidth=.25)\n",
"map.drawcoastlines(color=(0.5,0.5,0.5), linewidth=.25)\n",
"for name, (lon, lat), label_align, label_offset in places:\n",
" map.scatter(lon, lat, 20, latlon=True, marker='.', color=(0,.4,.8))\n",
" (x, y) = map(lon, lat)\n",
" plt.annotate(\n",
" name, xy=(x,y), xytext=label_offset, color=(.2, .2, .2),\n",
" textcoords='offset points', ha=label_align, va='bottom')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for ext in ['png', 'pdf']:\n",
" plt.savefig('germany.{}'.format(ext), dpi=96, bbox_inches='tight')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image(filename='germany.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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xurqKhYUF+Hw+LnwplUrR2dkJiqJK/uPz+adOkmiaBsuysFgsEIvFJdt0BYNB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\n2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"prompt_number": 27,
"text": [
"<IPython.core.display.Image at 0xab637b0>"
]
}
],
"prompt_number": 27
}
],
"metadata": {}
}
]
}
@ojdo
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ojdo commented Aug 18, 2014

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