Simulacija oceanskih valova u stvarnom vremenu

master's thesis

• Title (english): Real-time Ocean Wave Simulation
• Author: Hrvoje Ljubas
• Mentor: Goran Delač (mentor)
• Committee member: Goran Delač (predsjednik povjerenstva)
• Committee member: Klemo Vladimir (član povjerenstva)
• Committee member: Marin Šilić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2025-02-26, Croatia

Abstract

Ovaj rad istražuje simulaciju oceanskih valova u računalnoj grafici s fokusom na fizikalno utemeljene modele i optimizacije za prikaz u stvarnom vremenu. Korištenjem Fourierove transformacije i spektralnih modela, poput Pierson-Moskowitz i JONSWAP spektra, postignuti su realistični efekti valova. Problem popločavanja riješen je slojevitim spektralnim uzorkovanjem, dok je generiranje morske pjene omogućeno analizom Jacobijeve matrice. Uvođenje Fresnelovog efekta i raspršenja svjetlosti dodatno poboljšava vizualni realizam. Zaključuje se da kombinacija fizikalnih modela i GPU optimizacija omogućuje stvaranje uvjerljivih simulacija valova za primjenu u videoigrama i simulacijama.

Abstract (english)

This thesis explores the simulation of ocean waves in computer graphics, focusing on physically-based models and real-time rendering optimizations. Using the Fourier Transform and spectral models such as the Pierson-Moskowitz and JONSWAP spectra, realistic wave effects were achieved. Tiling issues were addressed with layered spectral sampling, while foam generation was enabled through Jacobian matrix analysis. The introduction of the Fresnel effect and light scattering further enhanced visual realism. The study concludes that the combination of physically-based models and GPU optimizations enables the creation of convincing wave simulations for applications in video games and simulations.

• Keywords: simulacija valova; spektralni modeli; linearna valna teorija; Fourierova transformacija
• Keywords (english): wave simulation; spectral models; linear wave theory; Fourier transform
• Language: croatian
• URN:NBN: urn:nbn:hr:168:243432
• 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: Open access
• Created on: 2025-03-12 11:12:31