Delaunay

delaunay is a Lua module for delaunay triangulation of a convex polygon.

##Download

###Git

git clone http://github.com/Yonaba/delaunay.git

###Archive

• zip | tar.gz | all

###LuaRocks

luarocks install delaunay

###MoonRocks

luarocks install --server=http://rocks.moonscript.org/manifests/Yonaba delaunay

##Installation Copy the file delaunay.lua inside your project folder, call it with require function. It will return the Delaunay module, keeping safe the global environment.

##Usage

The module provides 3 classes:

• Point
• Edge
• Triangle

It also provides a single function named triangulate. This function accepts a variable list (vararg ...) of instances of class Point. Assuming those points are the vertices of a convex polygon, it returns a table of instances of the class Triangle forming a Delaunay triangulation of the given polygon.

A basic code example:

local Delaunay = require 'Delaunay'
local Point    = Delaunay.Point

-- Creating 10 random points
local points = {}
for i = 1, 10 do
  points[i] = Point(math.random() * 100, math.random() * 100)
end

-- Triangulating de convex polygon made by those points
local triangles = Delaunay.triangulate(unpack(points))

-- Printing the results
for i, triangle in ipairs(triangles) do
  print(triangle)
end

See the documentation for more details.

##Testing ###Specification

This repository include unit tests. You can run them using Telescope with the following command from the root foolder:

lua tsc -f specs/*

###Performance

You can run the random performance tests included with the following command from the root folder:

lua performance/bench.lua

##License This work is under MIT-LICENSE.
Copyright (c) 2013 Roland Yonaba

Permission is hereby granted, free of charge, to any person obtaining a
copy of this software and associated documentation files (the
"Software"), to deal in the Software without restriction, including
without limitation the rights to use, copy, modify, merge, publish,
distribute, sublicense, and/or sell copies of the Software, and to
permit persons to whom the Software is furnished to do so, subject to
the following conditions:

The above copyright notice and this permission notice shall be included
in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.