2D Fizikalni pogon

undergraduate thesis

• Title (english): 2D Physics Engine
• Author: Luka Samac
• Mentor: Željka Mihajlović (mentor)
• Committee member: Željka Mihajlović (predsjednik povjerenstva)
• Committee member: Hrvoje Nuić (član povjerenstva)
• Committee member: Ivan Grubišić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2022-07-07, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Computing

Abstract

U ovom radu, prikazane su faze izrade fizikalnog pogona za simulaciju krutih tijela
te fizikalna podloga potrebna za njegovu izradu. Implementacija je pisana u jeziku
Javascript. Pogon radi u stvarnom vremenu te pretpostavlja da je između dva okvira uvijek
prošlo jednako vrijeme (60 okvira u sekundi). Opisani su algoritmi detekcije sudara
konveksnih objekata te formule za rezoluciju sudara. Algoritam korišten za detekciju sudara
je SAT algoritam, a fizikalne formule dobivene su iz mehanike krutih tijela. Fizikalni pogon
implementira interakciju s korisnikom te sadrži kratki opis potrebnih funkcija za interakciju.

Abstract (english)

In this thesis, steps of making a physics engine for rigid bodies and the physics behind
it are presented. The implementation was written in Javascript. The engine works in real time
and assumes that the same time has passed between two frames (60 frames a second).
Collision detection algorithms for convex polygons and collision resolution are described.
Separation axis theorem algorithm was used for collision detection and the physics formulas
used for collision resolution were obtained from rigid body mechanics. The engine
implements basic user interaction and contains a short description of functions needed to
obtain it.

• Keywords: 2D; fizikalni pogon; pogon u stvarnom vremenu; Javascript; statički pogon; kruta tijela; sudari; detekcija sudara; SAT algoritam; mehanika; interakcija s korisnikom
• Keywords (english): 2D; physics engine; real-time engine; Javascript; static engine; rigid bodies; collisions; collision detection; SAT algorithm; mechanics; user interaction
• Language: croatian
• URN:NBN: urn:nbn:hr:168:284029
• 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 11:10:24