This is an implementation of the Bowyer-Watson Algorithm in Javascript. The algorithm triangulates a finite set of points in any dimension. Here is how the Algorithm reads (source: Wikipedia):
function BowyerWatson (pointList)
// pointList is a set of coordinates defining the points to be triangulated
triangulation := empty triangle mesh data structure
add super-triangle to triangulation // must be large enough to completely contain all the points in pointList
for each point in pointList do // add all the points one at a time to the triangulation
badTriangles := empty set
for each triangle in triangulation do // first find all the triangles that are no longer valid due to the insertion
if point is inside circumcircle of triangle
add triangle to badTriangles
polygon := empty set
for each triangle in badTriangles do // find the boundary of the polygonal hole
for each edge in triangle do
if edge is not shared by any other triangles in badTriangles
add edge to polygon
for each triangle in badTriangles do // remove them from the data structure
remove triangle from triangulation
for each edge in polygon do // re-triangulate the polygonal hole
newTri := form a triangle from edge to point
add newTri to triangulation
for each triangle in triangulation // done inserting points, now clean up
if triangle contains a vertex from original super-triangle
remove triangle from triangulation
return triangulation