Korištenje metoda iz linearne algebre za simuliranje kretanja kroz prostor

undergraduate thesis

• Title (english): Linear algebra methods applied to simulate motion through space
• Author: Ivan Gadža
• Mentor: Dario Bojanjac (mentor)
• Committee member: Dario Bojanjac (predsjednik povjerenstva)
• Committee member: Dominik Žanić (član povjerenstva)
• Committee member: Dubravko Tomić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2022-07-08, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Computing

Abstract

Simuliranje trodimenzionalnog prostora na računalu ograničeno je dvodimeznionalnošću ekrana pa je potrebno koristiti iste metode kao i kod crtanja na papiru kako bi se prikazala dubina koja ne postoji.
U radu je potrebno opisati teorijsku pozadinu korištenja linearne algebre u problemima računalne grafike. Potrebno je objasniti kako se na dvodimenzionalnom ekranu može simulirati trodimenzionalan prostor te je korištenjem programskog sučelja OpenGL potrebno izraditi aplikaciju u kojoj će se simulirati kretanje kroz trodimenzionalan prostor.

Abstract (english)

Simulating three-dimensional space on a computer is limited by the two-dimensionality of the screen, so it is necessary to use the same methods as when drawing on paper to show a depth that does not exist.
The paper needs to describe the theoretical background of the use of linear algebra in computer graphics problems. It is necessary to explain how three-dimensional space can be simulated on a two-dimensional screen, and using the OpenGL software interface, it is necessary to create an application that will simulate movement through three-dimensional space.

• Keywords: Linearna algebra; vektorski prostor; vektori; matrice; OpenGL
• Keywords (english): Linear algebra; vector space; vectors; matrix; OpenGL
• Language: croatian
• URN:NBN: urn:nbn:hr:168:632030
• Study programme: Title: Computing; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2023-01-15 10:09:45