Systematic local flip rules are generalized Delaunay rules (Extended Abstract) (1993)  (Make Corrections)  
Timothy Lambert

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Abstract: ) Timothy Lambert Abstract A locally optimized triangulation (LOT) of a set of sites can be defined by a flip rule that determines which diagonal of a convex quadrilateral should be included in the triangulation. A flip rule is systematic if there is a unique LOT. It is local if the only new edges added when inserting a new site in the triangulation are adjacent to the new site. I prove that the only systematic local flip rules correspond to generalizations of convex distance function... (Update)

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BibTeX entry:   (Update)

@inproceedings{ lambertlambertsystematic,
    author = "Timothy Lambert",
    title = "Systematic local flip rules are generalized Delaunay rules",
    pages = "352--357",
    url = "citeseer.nj.nec.com/lambert93systematic.html" }
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