MATLAB Examples

# Voronoi vertices of 2-dimensional region defined by random point set

## Initial data

Set the random number generator.

```rng(1); ```

Set the point set the Voronoi vertices of which are calculated.

```points=-5 + (10)*rand(10,2); ```

## Processing

Find the vertices of the Voronoi diagram of the point set.

```V=voronoi_nd(points); ```

## Plots

Plot the initial point set and the Voronoi vertices defined by .

```figure('Name','Voronoi vertices of random 2D point set','NumberTitle','off') scatter(points(:,1),points(:,2),... 'marker','o','MarkerEdgeColor',[0 0 1],'LineWidth',2) hold on scatter(V(:,1),V(:,2),... 'marker','o','MarkerEdgeColor',[1 0.5 0],'LineWidth',2) xlabel('x','FontSize',13); ylabel('y','FontSize',13); zlabel('z','FontSize',13); title('Voronoi vertices of random 2D point set','FontSize',13) axis([-7 3 -7 5]) ``` ## Contact author

```(c) 2014 by George Papazafeiropoulos
First Lieutenant, Infrastructure Engineer, Hellenic Air Force
Civil Engineer, M.Sc., Ph.D. candidate, NTUA```

Website: http://users.ntua.gr/gpapazaf/