# Create temperature maps with 2D Voronoi diagrams

, 20 Nov 2008 CPOL
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A practicle application of 2D Voronoi diagrams.

## Introduction

Voronoi Diagram is a useful mathematic abstraction which has many applications. You can read about it here and here. You can also see some examples here: Visualization of the 2D Voronoi Diagram and the Delaunay Triangulation and Fortune's Voronoi algorithm implemented in C#.

## Background

Yesterday, I solved a problem: we have many weather centers and each weather center has coordinates (X, Y) and current temperature value (T). The goal of our solution was to create a temperature map.

## Using the code

The structure `TemperatureLocation` stores data about the weather center: coordinates X, Y, and the temperature value.

```public struct TemperatureLocation
{
private double x;

public double X
{
get { return x; }
set { x = value; }
}
private double y;

public double Y
{
get { return y; }
set { y = value; }
}
private double t;

public double T
{
get { return t; }
set { t = value; }
}

public TemperatureLocation(double x, double y, double t)
{
this.x = x;
this.y = y;
this.t = t;
}

public double GetDistance(TemperatureLocation tl)
{
return Math.Sqrt((this.x - tl.x) * (this.x - tl.x) +
(this.y - tl.y) * (this.y - tl.y));
}
}```

The class `VoronoiTemparature` is designed to create temperature maps. We load data about weather center, the parameters of the image (the color of cold and hot temperatures), and get the image of the map. For a more realistic map (without accurate Voronoi cells), use a simple smooth effect. The result of the test creation map can be seen on Figure 1.

Figure 1. Temperature map.

## Points of interest

Creating temperature maps is really a problem in meteorology. For a good mapping, we must use interpolation algorithms (for a smooth isotherm). It is one of many Voronoi diagram applications (Voronoi died exactly 100 years ago, on 11-19-1908).

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 First Prev Next
 implementation in SharMap agelospanagiotakis 15-Feb-09 4:23
 Re: implementation in SharMap Maxim_Barsuk 15-Feb-09 22:49
 Re: implementation in SharMap agelospanagiotakis 16-Feb-09 3:04
 Re: implementation in SharMap agelospanagiotakis 16-Feb-09 3:09
 Re: implementation in SharMap Maxim_Barsuk 16-Feb-09 23:35
 Re: implementation in SharMap agelospanagiotakis 6-Mar-09 13:11
 Black areas are missing? nnononnnon 14-Dec-08 8:26
 Re: Black areas are missing? Maxim_Barsuk 16-Dec-08 19:56
 Nice article and very interesting.   "The clue train passed his station without stopping." - John Simmons / outlaw programmer   "Real programmers just throw a bunch of 1s and 0s at the computer to see what sticks" - Pete O'Hanlon   "Not only do you continue to babble nonsense, you can't even correctly remember the nonsense you babbled just minutes ago." - Rob Graham
 Date overflow laserbaronen 20-Nov-08 2:50
 Re: Date overflow Maxim_Barsuk 20-Nov-08 5:26
 Re: Date overflow Skymir 20-Jul-09 5:25
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