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delaunay

C++ program that constructs Delaunay triangulation and/or Voronoi diagram of a set of points. Built as a final project in the NYUAD Data Structures class in spring 2014.

Instructions

Running the program

The program can be run through terminal:

./run <num <delaunay voronoi>>
  • The num argument determines the number of points added to the input file; the default value is 20.
  • The delaunay argument determines whether the Delaunay triangulation should be shown; the default is true.
  • The voronoi argument determines whether the Voronoi diagram should be shown; the default is true.

This produces an image file named output.png with the resulting diagram.

Updating source code

If changes were made to the source files, the program has to be rebuilt first:

./build

Building individual parts of the program

randinput

To produce a specific number of random points in the accepted format:

g++ randinput.cpp -o randinput
./randinput <num>
  • The num argument determines the number of points produced; the default value is 20.

delaunay

To produce the Delaunay triangulation and/or Voronoi diagram based on a list of points:

g++ delaunay.cpp -o delaunay
./delaunay <input output <delaunay voronoi>>
  • The input argument determines the address of the input file; the default is input.txt.
  • The output argument determines the address of the output file; the default is output.txt.
  • The delaunay argument determines whether the Delaunay triangulation should be shown; the default is true.
  • The voronoi argument determines whether the Voronoi diagram should be shown; the default is true.

This produces an output.txt file with instructions for gnuplot program to draw the diagram.

Input data formatting

If one does not wish to use the provided randinput executable to produce input values, these can be input manually. The formatting is as follows:

x y
  • The x and y values are separated by \t (tab).

Output data formatting:

The output file contains information for the gnuplot program (/usr/local/bin/gnuplot) to draw the diagram. It can be edited; however, next run of the delaunay executable will overwrite any changes. For the changes to be permanent, they have to be made directly in the source code of delaunay.cpp.

To ensure that the diagram will be drawn through gnuplot, the first line of the output file has to be:

#!/usr/local/bin/gnuplot

Additionally, for the file to be drawn, it must be made executable. To ensure you have correct permissions, use:

chmod +x output.txt