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master's thesis
Primjena matematike u izradi računalnih igara
Zagreb: University of Zagreb, Faculty of Science, 2014. urn:nbn:hr:217:939160
Golubić, Kristian
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Golubić, K. (2014). Primjena matematike u izradi računalnih igara (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:939160

Golubić, Kristian. "Primjena matematike u izradi računalnih igara." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:939160

Golubić, Kristian. "Primjena matematike u izradi računalnih igara." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:939160

Golubić, K. (2014). 'Primjena matematike u izradi računalnih igara', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:939160

Golubić K. Primjena matematike u izradi računalnih igara [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2014 [cited 2024 December 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:939160

K. Golubić, "Primjena matematike u izradi računalnih igara", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:217:939160

Metadata
TitlePrimjena matematike u izradi računalnih igara
AuthorKristian Golubić
MentorMaja Starčević (mentor)
Committee memberMaja Starčević (predsjednik povjerenstva)
Committee memberMirko Primc (član povjerenstva)
Committee memberEduard Marušić-Paloka (član povjerenstva)
Committee memberMatija Kazalicki (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2014-07-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U radu su opisani različiti tipovi problema s kojima se programer može susresti prilikom izrade igre. To je najprije reprezentacija objekata na računalu te prevođenje objekta iz trodimenzionalnog svijeta u dvodimenzionalni. Objašnjen je problem prepoznavanja sudara dvaju objekata. U radu je detaljno opisano rješenje tog problema pomoću smještanja objekata u sferu ili AABB objekt, a spomenuta su još neka moguća rješenja. Opisan je problem pronalaženja najkraćeg puta kao i njegovo rješenje Dijkstrinim algoritmom te različitim implementacijama grafa. Naglašena je važnost strategije u igri te je opisan minimax algoritam za strategiju igranja savršeno informiranih determinističkih igara za dva igrača, kao i njegova optimizacija. Također, u radu je spomenuta važnost fizikalnih zakonitosti i njihovih primjena prilikom izrade igre.
Abstract (english)
This paper describes various problems which programmers face during the process of creating a video game. The first problem is representation of objects in a computer and turning objects from the three-dimensional to the two-dimensional space. The problem of collision detection of two objects is also explained. The paper describes solutions of that problem using a sphere or an AABB object as surrounding objects. In the paper are mentioned some other solutions, too. It describes the shortest path problem and the solution using Dijkstra’s algorithm and various implementations of graphs. This paper emphasizes the importance of strategy in the game and describes minimax algorithm for deterministic games where two players are perfectly informed. There is also mentioned importance of physical laws and their use during the process of creating a video game.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:939160
Study programmeTitle: Mathematics and Computer Science Education; specializations in: Mathematics and Computer Science Education
Course: Mathematics and Computer Science Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-01-25 08:49:53