Triangulacija enostavnega mnogokotnika z enakomerno delitvijo ravnine : doktorska disertacija
Lamot, Marko
V disertaciji obravnavamo problem triangulacije enostavnega mnogokotnika. Najprej predstavimo dosedanje raziskave in opis najbolj popularnih triangulacijskih algoritmov. Zatem predstavimo nov ...algoritem za triangulacijo enostavnih mnogokotnikov, ki uporablja enakomerno delitev ravnine za pohitritev triangulacije. Učinkovito kombinira dva pristopa: odstranjevanje uhljev in vstavljanje diagonal. Podamo dokaz o pravilnosti algoritma, časovno in prostorsko analizo, opis implementacije, možnost uporabe dvonivojske enakomerne delitve ravnine in možnost uporabe Steinerjevih točk. Nato opravimo primerjavo predlaganega algoritma z nekaterimi najbolj znanimi algoritmi triangulacije (odstranjevanje uhljev, Seidelov naključni inkrementalni algoritem, Grahamovo prebiranje in Gareyev algoritem prebiranja ravnine) za različne razrede mnogokotnikov (splošni, konveksni, monotoni, zvezdni in mnogokotniki iz podatkovnih baz GIS). Za splošne in mnogokotnike GIS je predlagani algoritem najhitrejši izmed vseh primerjanih algoritmov, s čimer potrdimo temeljno hipotezo disertacije.
Type of material - dissertation
; adult, serious
Publication and manufacture - Maribor : [M. Lamot], 2003
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