Metode adaptivnog generiranja mreže zadane CAD modelom

master's thesis

• Title (english): Methods of adaptive network generation given by CAD model
• Author: Davorin Gradečak
• Mentor: Luka Grubišić (mentor)
• Committee member: Luka Grubišić (predsjednik povjerenstva)
• Committee member: Vjekoslav Kovač (član povjerenstva)
• Committee member: Eduard Marušić-Paloka (član povjerenstva)
• Committee member: Juraj Šiftar (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2021-07-22, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu bavimo se parametrizacijama ploha 3D žičanog modela. Prezentiramo motivaciju te teorijsku pozadinu parametrizacije ploha te predstavljamo 5 različitih parametrizacijskih metoda. Te parametrizacije potom implementiramo u programskom jeziku Python koristeći klasične biblioteke numpy i scipy, te libigl kao biblioteku za procesiranje geometrije. Nakon toga, mjerimo njihova svojstva na primjerima kakvi se mogu naći u stvarnom svijetu. Konačno, uspoređujemo njihovu kvalitetu i efikasnost te dajemo preporuku ovisno o željenoj brzini te kvaliteti izračuna parametrizacije.

Abstract (english)

In this master thesis we deal with surface parameterizations of a 3D CAD model. We present the motivation behind and theoretical background of surface parameterizations as well as 5 concrete parameterization methods. We then implement these methods in Python using numpy and scipy libraries, in addition to libigl, a library for geometry processing. Afterwards, we measure the properties and quality of resulting parameterizations on examples of real-life scale. Finally, we compare their effciency and quality and give a recommendation as to which parameterization to pick based on desired computational speed and quality.

• Keywords: parametrizacija ploha 3D žičanog modela; programski jezik Python
• Keywords (english): surface parameterizations of a 3D CAD model; Python
• Language: croatian
• URN:NBN: urn:nbn:hr:217:791097
• Study programme: Title: Computer Science and Mathematics; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra računarstva i matematike (magistar/magistra računarstva i matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access; Embargo expiration date: 2023-09-15
• Created on: 2021-09-15 09:09:40