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Title:KVATERNIONI V RAČUNALNIŠKI GRAFIKI
Authors:ID Markuš, Žiga (Author)
ID Guid, Nikola (Mentor) More about this mentor... New window
ID Strnad, Damjan (Comentor)
Files:.pdf UN_Markus_Ziga_2015.pdf (1,71 MB)
MD5: 0B4BE814A3F965E9E843C68BB03E85ED
 
Language:Slovenian
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:FERI - Faculty of Electrical Engineering and Computer Science
Abstract:Diplomsko delo obravnava uporabo kvaternionov v računalniški grafiki. Kvaternioni nam omogočajo enostavne rešitve, kjer uporaba matrik postane težavna. Proučujemo njihove prednosti pri zasuku, kjer jih uporabimo za rešitev večih problemov, predvsem pa problema, imenovanega kardanska zapora. Tudi v primeru interpolacije nam kvaternioni ponujajo boljšo rešitev, zato smo obravnavali tudi interpolacijo kvaternionov. V praktičnem delu naloge s pomočjo programskega jezika Java in standarda OpenGL razvijemo aplikacijo, v kateri kvaternione implementiramo in demonstriramo njihovo uporabo v računalniški grafiki.
Keywords:kvaternion, matrika, zasuk, interpolacija
Place of publishing:Maribor
Publisher:[Ž. Markuš]
Year of publishing:2015
PID:20.500.12556/DKUM-48562 New window
UDC:511.84:004.92(043.2)
COBISS.SI-ID:19087894 New window
NUK URN:URN:SI:UM:DK:HBKVWRCH
Publication date in DKUM:14.07.2015
Views:2464
Downloads:277
Metadata:XML DC-XML DC-RDF
Categories:KTFMB - FERI
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Secondary language

Language:English
Title:QUATERNIONS IN COMPUTER GRAPHICS
Abstract:The thesis discusses the use of quaternions in computer graphics. Quaternions allow us a simple solution, where the use of matrices becomes difficult. We explore their strengths in rotations, where they are used to solve several problems, particularly the gimbal lock. Quaternions offer us a better solution in the case of interpolation as well, therefore we examined interpolation of quaternions. In the practical part of the thesis, we have created an application with the help of programming language Java and the standard OpenGL, where we implemented quaternions and demonstrated their use in compter graphics.
Keywords:quaternion, matrix, rotation, interpolation


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