کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
414727 681016 2014 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Flip distance between triangulations of a planar point set is APX-hard
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Flip distance between triangulations of a planar point set is APX-hard
چکیده انگلیسی

In this work we consider triangulations of point sets in the Euclidean plane, i.e., maximal straight-line crossing-free graphs on a finite set of points. Given a triangulation of a point set, an edge flip is the operation of removing one edge and adding another one, such that the resulting graph is again a triangulation. Flips are a major way of locally transforming triangular meshes. We show that, given a point set S   in the Euclidean plane and two triangulations T1T1 and T2T2 of S  , it is an APX-hard problem to minimize the number of edge flips to transform T1T1 to T2T2.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Geometry - Volume 47, Issue 5, July 2014, Pages 589–604
نویسندگان
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