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En topologisk representation av en polygon;det rakkantiga skelettet

The aim of this thesis project is to produce an algorithm for finding a topologicalrepresentation of a polygon, called a straight skeleton, using floating pointarithmetic. Various straight skeleton algorithms are examined and discussed witha focus on time complexity and one is chosen for implementation. This implementationis then compared with the open source library CGAL with regards torunning time. The result is an algorithm which is based on an algorithm by Felkeland Obdrzalek and which, for polygons with more than five thousand vertices andthree significant digits representing points, runs around 25% faster than CGALsimplementation. Complications regarding the use of floating-point arithmetic arealso discussed.

Författare

Hanna Wallin

Lärosäte och institution

KTH/Skolan för teknikvetenskap (SCI)

Nivå:

"Masteruppsats". Självständigt arbete (examensarbete) om 30 högskolepoäng (med vissa undantag) utfört för att erhålla masterexamen.

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