Triangulirajmo mnogokotnik

This paper considers different approaches how to divide polygons intotriangles what is known as a polygon triangulation. Polygons can be very complex in geodesic applications (they could have a lot of concave vertices, they could contain holes) therefore there is often a need to decompose them into...

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Main Authors: Borut Žalik, Marko Lamot
Format: Article
Language:English
Published: Association of Surveyors of Slovenia (Zveza geodetov Slovenije) 2000-01-01
Series:Geodetski Vestnik
Subjects:
Online Access:http://www.geodetski-vestnik.com/44/gv44-12.pdf
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author Borut Žalik
Marko Lamot
author_facet Borut Žalik
Marko Lamot
author_sort Borut Žalik
collection DOAJ
description This paper considers different approaches how to divide polygons intotriangles what is known as a polygon triangulation. Polygons can be very complex in geodesic applications (they could have a lot of concave vertices, they could contain holes) therefore there is often a need to decompose them into simpler components. Every polygon can be triangulated by inserting diagonals what is shown in the proof of existence of polygon triangulation. There are a lot of polygon triangulation techniques which use that fact. However, polygons can be triangulated by some other approaches, too. The algorithms performing polygon triangulation can be classified into three major groups: algorithms, which are based on diagonal insertion, algorithms, which are based on Delaunay triangulation, and algorithms using Steiner’s points.
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spelling doaj.art-3768e19326f44c9eb348ba192a1a26522022-12-22T00:58:03ZengAssociation of Surveyors of Slovenia (Zveza geodetov Slovenije)Geodetski Vestnik0351-02712000-01-01441-24252Triangulirajmo mnogokotnikBorut ŽalikMarko LamotThis paper considers different approaches how to divide polygons intotriangles what is known as a polygon triangulation. Polygons can be very complex in geodesic applications (they could have a lot of concave vertices, they could contain holes) therefore there is often a need to decompose them into simpler components. Every polygon can be triangulated by inserting diagonals what is shown in the proof of existence of polygon triangulation. There are a lot of polygon triangulation techniques which use that fact. However, polygons can be triangulated by some other approaches, too. The algorithms performing polygon triangulation can be classified into three major groups: algorithms, which are based on diagonal insertion, algorithms, which are based on Delaunay triangulation, and algorithms using Steiner’s points.http://www.geodetski-vestnik.com/44/gv44-12.pdfpolygonpolygon triangulationcomputational geometryalgorithmsmnogokotniktriangulacija mnogokotnikovračunalniška geometrijaalgoritmi
spellingShingle Borut Žalik
Marko Lamot
Triangulirajmo mnogokotnik
Geodetski Vestnik
polygon
polygon triangulation
computational geometry
algorithms
mnogokotnik
triangulacija mnogokotnikov
računalniška geometrija
algoritmi
title Triangulirajmo mnogokotnik
title_full Triangulirajmo mnogokotnik
title_fullStr Triangulirajmo mnogokotnik
title_full_unstemmed Triangulirajmo mnogokotnik
title_short Triangulirajmo mnogokotnik
title_sort triangulirajmo mnogokotnik
topic polygon
polygon triangulation
computational geometry
algorithms
mnogokotnik
triangulacija mnogokotnikov
računalniška geometrija
algoritmi
url http://www.geodetski-vestnik.com/44/gv44-12.pdf
work_keys_str_mv AT borutzalik triangulirajmomnogokotnik
AT markolamot triangulirajmomnogokotnik