Aproksimacijski algoritem gradnje srednje osi enostavnih mnogokotnikov, temelječ na omejeni Delaunayevi triangulaciji : doktorska disertacija

(UL)

Aproksimacijski algoritem gradnje srednje osi enostavnih mnogokotnikov, temelječ na omejeni Delaunayevi triangulaciji : doktorska disertacija

Smogavec, Gregor

V doktorski disertaciji uvedemo nov postopek gradnje aproksimativne srednje osi, ki je učinkovitejši od obstoječih metod. Naprej opredelimo problem, področja upo-rabe in podamo hipotezi. V ... nadaljevanju na kratko razložimo Voronoijev diagram in opozorimo na povezavo med njim in Delaunayjevo triangulacijo, ki jo razširimo še z opisom omejene Delaunayjeve triangulacije. Zatem se osredotočimo na algoritme gradnje srednje osi, ki jih delimo na eksaktne in aproksimacijske. Sledijo definicije in pregled dosedanjih rešitev. V jedru doktorske disertacije opišemo nov algoritem za konstrukcijo aproksimacije srednje osi mnogokotnika. V tem poglavju opišemo naš algoritem za triangulacijo enostavnega mnogokotnika, uporabljeno hevristiko in korak generiranja srednje osi iz središč dobljenih trikotnikov. Sledi analiza algoritma, kjer izpeljemo prostorsko in časovno zahtevnost, in primerjava našega algoritma z obstoječimi metodami. Razvijemo tudi novo metriko za oceno kakovosti aproksimacije. Doktorsko disertacijo zaključimo s pregledom opravljenega dela in opozorimo na izvirne znanstvene prispevke.

Type of material - dissertation ; adult, serious

Publication and manufacture - [Maribor : G. Smogavec], 2014

Language - slovenian

COBISS.SI-ID - 18055958

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Digital Library of the University of Maribor – DLUM
Digitalna knjižnica Slovenije - dLib.si

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Library	Call number – location, accession no. ...	Copy status
National and University Library, Ljubljana	GS II 721515 glavno skladišče	available - reading room

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Smogavec, Gregor	32619
Žalik, Borut	06671

Source: Personal bibliographies and: SICRIS

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