Topološka analiza 3D modelov : magistrsko delo magistrskega študijskega programa II. stopnje Strojništvo

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Topološka analiza 3D modelov : magistrsko delo magistrskega študijskega programa II. stopnje Strojništvo

Treven, Marjana

V magistrskem delu je predstavljena homologija poljubnega telesa ali ploskve. Homologija nam pomaga prepoznati, šteti in meriti različne vrste ”lukenj” v prostoru, kot so vrzeli, zanke in votline. V ... delu se posebej osredotočamo na teoretično ozadje in samo definicijo homologije, ki jo definiramo preko vektorskih prostorov. Sledi nekaj primerov izračunov homologije ter predstavitev programske kode, ki za poljubno triangulirano telo ali ploskev izračuna dimenzije homoloških vektorskih prostorov. V zadnjem delu magistrske naloge so predstavljene aplikacije, kjer se uporabljajo homološke metode. S pomočjo homologije lahko na primer odkrivamo luknje v brezžičnih omrežjih, pomaga pa nam tudi pri odkrivanju rakastih tkiv.

Type of material - master's thesis ; adult, serious

Publication and manufacture - Ljubljana : [M. Treven], 2023

Language - slovenian

COBISS.SI-ID - 183202051

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Repository of the University of Ljubljana – RUL

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Other authors
Gabrovšek, Boštjan, matematik, 1981-

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Library/institution	City	Acronym	For loan	Other holdings
Faculty of Mechanical Engineering, Ljubljana	Ljubljana	FSLJ	reading room 1 cop.

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Treven, Marjana
Gabrovšek, Boštjan, matematik, 1981-	29631

Source: Personal bibliographies and: SICRIS

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