Using Dijkstra's algorithm to draw maps

https://github.com/ibaaj/dijkstra-cartography

by JasonNils • 10 years ago

161 15 10 years ago

elcapitan• 10 years ago

Isn't that actually an example for graph centrality (betweenness)? https://en.wikipedia.org/wiki/Centrality

14113• 10 years ago

Yes - one of the classical ways of computing betweeness centrality is to calculate the number of shortest paths passing through each edge. In this case however, he's only computing the shortest paths to/from a single vertex.

tocklime• 10 years ago

This is actually really useful - you have a map of 'what is the fastest way home from anywhere in the city?' On moving to a new city, getting a map like this and memorising a few of the arteries would help loads with familiarization.

sitkack• 10 years ago

This isn't exactly what the OP has, what you are looking for is a transit time heat map.

http://www.transitheatmap.com/index.html

http://project.wnyc.org/transit-time/#40.72280,-73.95464,12,...

nostrebored• 10 years ago

If you are busing... Sure the argument can be made that this doesn't take into account light-timers for walking, but if you're greedily selecting for shortest distance, this is exactly what you want when walking.

jilljennV• 10 years ago

So much fun! We made a similar visualization in Python, using Dijkstra's algorithm to find shortest paths in Paris: http://nbviewer.jupyter.org/github/jilljenn/tryalgo/blob/mas...

Also for trying different greedy routing algorithms. Folium helps a lot: http://nbviewer.jupyter.org/github/jilljenn/128algos/blob/ma...

Disclaimer: I'm a co-author of the tryalgo package.

coroutines• 10 years ago

You cannot mention Dijkstra's algorithm without linking: http://www.redblobgames.com/pathfinding/

http://www.redblobgames.com/pathfinding/a-star/introduction....

:-)

testpass• 10 years ago

Graph theory has been one of the most difficult topics I've had to grasp at university. This is awesome! Thanks for sharing.

MarcosDione• 10 years ago

very nice! related to this:

http://www.imagico.de/map/water_generalize1_en.php

also: it's shame how it treats the transpacific plane routes...

coredog64• 10 years ago

Nitpick: I don't think the world flights to Paris map is correct. It shows flights from Noumea, New Caledonia going through Australia. The shorter route is through Seoul.

Bedon292• 10 years ago

Very interesting. How are the roads weighted in this? Meaning is there any travel time involved? Or is it just length? It would be interesting to play with different weighting and see if it changes.

karussell2• 10 years ago

Should be time in all cases (if default settings of the routing engines are used)

yalogin• 10 years ago

This is awesome. I wanted to something like this for a long time but never got around to it.

karussell2• 10 years ago

The roads to rome is indeed not open source although the tools are: http://roadstorome.moovellab.com/about

I was also playing around with this and GraphHopper as well: https://graphhopper.com/blog/2016/01/19/alternative-roads-to...

Using some simple modification of the MiniUIGraph tool which you can find here: https://gist.github.com/karussell/768e828a01f71ac7f46c

BTW: If you have questions related to GraphHopper feel free to ask them :)

BTW2: Funny how this visualization side-project got more stars in a few hours then one of the used routing engines in 4 years. Bad marketing ;) ?

Using Dijkstra's algorithm to draw maps

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