Fizikalno temeljen model tkanine

master's thesis

• Title (english): Physically based cloth model
• Author: Hrvoje Gazibara
• Mentor: Željka Mihajlović (mentor)
• Committee member: Željka Mihajlović (predsjednik povjerenstva)
• Committee member: Marko Čupić (član povjerenstva)
• Committee member: Tomislav Hrkać (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2014-07-08, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Computing

Abstract

U radu se opisuje postupak simulacije tkanine zasnovan na fizikalnim zakonima, prvenstveno Hookeovom zakonu, te sustavu masa i opruga. Struktura tkanine modelira se diskretnom rešetkom, a ponašanje tkanine uvjetovano je međudjelovanjima unutar rešetke te primjeni vanjskih sila. Budući da su fizikalni zakoni predstavljeni diferencijalnim jednadžbama, proučavaju se jednostavne numeričke metode za rješavanje postavljenih jednadžbi te se ispituje utjecat odabira parametara na kvalitetu krajnjih rezultata.
U razvijenu simulaciju dodaju se i drugi objekti radi kreiranja složenijih ispitnih slučajeva, stoga se opisuju i postupci otkrivanja i razrješavanja sudara.

Abstract (english)

This thesis describes physical models for simulating cloth based on Hooke’s law and mass–spring systems. Cloth’s structure is simplified using a discrete grid of particles, which is used for modeling both macroscopic and microscopic behavior of cloth. Since physical systems are described using differential equations and because computers are not able to find exact results of those equations, some numerical methods are introduced. The importance of choosing good enough parameters is discussed throughout the text.
To enrich developed simulations, rigid bodies are added into the scene, which calls for methods for collision detection and collision response.

• Keywords: fizikalna simulacija tkanine; sustav masa i čestica; Hookeov za- kon; diferencijalne jednadžbe; numeričke metode; otkrivanje sudara; razrješavanje sudara; AABB stablo
• Keywords (english): physically-based cloth simulation; mass-spring system; Hooke’s law; differential equations; numerical methods; collision detection; collision response; AABB tree
• Language: croatian
• URN:NBN: urn:nbn:hr:168:157974
• Study programme: Title: Computing; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra inženjer/inženjerka računarstva (magistar/magistra inženjer/inženjerka računarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2018-02-06 08:52:26