Difference between revisions of "Stofradar"

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(Interpolation)
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* apply an 'aspect ratio' factor of cos(latitude) to the longitude difference. I use the latitude of the approximate middle of the netherlands (52.2 lat, 5.3 lon) to calculate this aspect ratio factor.  
 
* apply an 'aspect ratio' factor of cos(latitude) to the longitude difference. I use the latitude of the approximate middle of the netherlands (52.2 lat, 5.3 lon) to calculate this aspect ratio factor.  
 
* distance squared = (difference latitude)squared + (difference longitude)squared
 
* distance squared = (difference latitude)squared + (difference longitude)squared
A better way would be to use the 'great-circle-distance' and possibly even account for the fact that the earth is not perfectly spherical, but I think my approximation suffices and makes the calculation faster.
+
A better way would be to use the  
 +
[https://en.wikipedia.org/wiki/Great-circle_distance 'great-circle-distance'] and possibly even account for the fact that the earth is not perfectly spherical, but I like to start simple and this makes the calculation a lot faster.
  
 
=== Colour range ===
 
=== Colour range ===

Revision as of 09:30, 11 June 2018

Project Stofradar
Stofradar3.png
Visualizing fine dust concentrations on a map
Status Initializing
Contact bertrik
Last Update 2018-06-11

Introduction

This page is about my plan to create a 'stofradar' image of fine dust concentrations based on the raw data measured by the luftdaten.info network.

See also my DustSensor page.

luftdaten.info is an initiative to allow citizens to measure fine dust concentration using an inexpensive and easy to build fine dust sensor. They collect this data, calculate 5 minute and daily averages and publish it again as open data. The total number of sensors is about 5000 worldwide, most of them in Germany, Bulgaria, Belgium, Austria, Sweden. The Netherlands has about 100 sensors.

I want to create images / animations based on this data.

Visualisation

The general idea is to create an image, with a map at the background and the fine dust concentration overlaid on top.

TODO:

  • get a nice background map, I prefer the equirectangular projection since that is easy to calculate. A black-and-white map would be nice so the overlay adds all the colour.
  • find a way to combine images over time into an animated gif: imagemagick convert?

Background map

Pages to investigate:

Interpolation

Since we only have data at a set of discrete points, the concentration at other points is estimated by combining data from all sensors using inverse distance weighting, in particular using the distance *squared* as the weighing factor in a weighted average. So a nearby sensor has a large effect and a far away sensor has very little effect, contributing only a little bit to the global average.

To calculate the distance, I use a very simple approximation:

  • determine the difference in longitude and latitude
  • apply an 'aspect ratio' factor of cos(latitude) to the longitude difference. I use the latitude of the approximate middle of the netherlands (52.2 lat, 5.3 lon) to calculate this aspect ratio factor.
  • distance squared = (difference latitude)squared + (difference longitude)squared

A better way would be to use the 'great-circle-distance' and possibly even account for the fact that the earth is not perfectly spherical, but I like to start simple and this makes the calculation a lot faster.

Colour range

The colours I'll probably be using (a kind of spectral range from blue to red):

  • 0 ug/m3: fully transparent white (#FFFFFF.00)
  • 25 ug/m3: 3/4 transparent cyan (#00FFFF.40)
  • 50 ug/m3: 3/4 transparent yellow (#FFFF00.40)
  • 100 ug/m3: 3/4 transparent red (#FF0000.40)
  • 200 ug/m3 and higher: 3/4 transparent purple (#FF00FF.40)

With interpolation for RGB and alpha for values between these levels.

The middle level of 50 ug/m3 has been agreed on as the level that should not be exceeded as the yearly average in the Netherlands.

This scale is approximately logarithmic, with each step being twice as big as the previous one.

Compositing

I plan to use imagemagick for this.

Work in progress:

 composite -compose over -geometry 800x600 20180605_210100.json.png netherlands.png output.png

where netherlands.png is an 600x800 opaque black-and-white image of the map of the netherlands and 20180605_210100.json.png is an 60x80 image of dust concentrations with an alpha channel

Software

See the github page for the source code.