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Physical Sciences and Mathematics Commons

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Theses/Dissertations

UNLV Theses, Dissertations, Professional Papers, and Capstones

2011

Triangulation

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Improved Algorithms For Ear-Clipping Triangulation, Bartosz Kajak Aug 2011

Improved Algorithms For Ear-Clipping Triangulation, Bartosz Kajak

UNLV Theses, Dissertations, Professional Papers, and Capstones

We consider the problem of improving ear-slicing algorithm for triangulating a simple polygon. We propose two variations of ear-slicing technique for generating “good-quality” triangulation. The first approach is based on searching for the best triangle along the boundary. The second approach considers polygon partitioning on a pre-process before applying the ear-slicing. Experimental investigation reveals that both approaches yield better quality triangulation than the standard ear-slicing method.


Roaming Region For Delaunay Triangulation, Romas James Hada Aug 2011

Roaming Region For Delaunay Triangulation, Romas James Hada

UNLV Theses, Dissertations, Professional Papers, and Capstones

Delaunay graphs have been used in CAD/CAM, sensor network and geographic information systems. We investigate the reliability properties of nodes in Delaunay graphs. For measuring the reliability we formulate the concept of roaming-region for nodes. A node v with large roaming-region r(v) such that v is positioned near the center of r(v) is identified as a reliable node. We develop algorithms for constructing roaming-regions and present an implementation of the proposed algorithm in the Java programming language.