Graduate Thesis Or Dissertation
 

Computational geometry package with fast Voronoi diagram algorithm

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/r207tr67x

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  • An interactive Computational geometry package was developed for the purpose of experimenting with geometry problems in the Euclidean plane. The package also contains computer graphics functions to display the result. Application independent functions were developed that are both flexible and general enough for creating new geometry experiments as well as being portable to other hardware facilities. A specific goal was to develop the algorithm and functions needed to construct the Voronoi diagram, a geometric construct of particular importance, within 0(NlogN) time, an improvement over previous 0(N²) methods. The faster solution for this construction of the Voronoi diagram enables faster solutions to a wide range of Computational geometry problems.
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  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
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