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Jim Ruppert discovered this algorithm in the early 1990s.<ref>{{cite journal | doi=10.1006/jagm.1995.1021 | first=Jim | last=Ruppert | title=A Delaunay refinement algorithm for quality 2-dimensional mesh generation | journal=Journal of Algorithms | year=1995 | issue=3 | pages= 548–585 | volume=18}}</ref>
Since then, various small improvements have been made.<ref>{{cite journal| doi=10.1142/S0218195905001592| first1=Gary | last1=Miller | first2=Steven | last2=Pav | first3=Noel | last3=Walkington | title=When and why Delaunay refinement algorithms work | journal=International Journal of Computational Geometry and Applications | year=2005 | volume=15 | issue=1 | pages=
An extension of Ruppert's algorithm in two dimensions is implemented in the freely available (yet non-[[Free software|free]]) [http://www.cs.cmu.edu/~quake/triangle.html Triangle] package.
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