prikaz prve stranice dokumenta Linearni operatori i geometrijske transformacije u ravnini i prostoru s primjenama na fraktalne skupove
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undergraduate thesis
Linearni operatori i geometrijske transformacije u ravnini i prostoru s primjenama na fraktalne skupove
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2018. urn:nbn:hr:168:086488
Buljan, Mate
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

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Buljan, M. (2018). Linearni operatori i geometrijske transformacije u ravnini i prostoru s primjenama na fraktalne skupove (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:086488

Buljan, Mate. "Linearni operatori i geometrijske transformacije u ravnini i prostoru s primjenama na fraktalne skupove." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2018. https://urn.nsk.hr/urn:nbn:hr:168:086488

Buljan, Mate. "Linearni operatori i geometrijske transformacije u ravnini i prostoru s primjenama na fraktalne skupove." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2018. https://urn.nsk.hr/urn:nbn:hr:168:086488

Buljan, M. (2018). 'Linearni operatori i geometrijske transformacije u ravnini i prostoru s primjenama na fraktalne skupove', Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 28 December 2024, https://urn.nsk.hr/urn:nbn:hr:168:086488

Buljan M. Linearni operatori i geometrijske transformacije u ravnini i prostoru s primjenama na fraktalne skupove [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2018 [cited 2024 December 28] Available at: https://urn.nsk.hr/urn:nbn:hr:168:086488

M. Buljan, "Linearni operatori i geometrijske transformacije u ravnini i prostoru s primjenama na fraktalne skupove", Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:168:086488

Metadata
TitleLinearni operatori i geometrijske transformacije u ravnini i prostoru s primjenama na fraktalne skupove
Title (english)Linear operators, geometric transformations in plane and space with applications to fractal sets
AuthorMate Buljan
MentorNeven Elezović (mentor)
Committee memberNeven Elezović (predsjednik povjerenstva)
Committee memberTomislav Burić (član povjerenstva)
Committee memberAndrea Katarić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2018-07-13, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
U ovom radu su proučene linearne transformacije u ravnini i prostoru te načini generiranja fraktalnih skupova koji se opisuju pomoću linearnih transformacija. Promatrana su dva algoritma generiranja IFS fraktala te je više primjera obrađeno na način da je opisana njihova konstrukcija te potrebne linearne transformacije, izračunata je fraktalna dimenzija te neke od njihovih varijacija. Pokazan je nedostatak determinističkog algoritma na primjeru Barnsleyeve paprati te su na tom istom primjeru opisane obje verzije slučajnog algoritma. Opisan je i postupak dobivanja fraktalnih plamenova. Napravljena je aplikacija za prikaz geometrijskih transformacija u ravnini te je implementiran slučajni algoritam za generiranje IFS fraktala.
Abstract (english)
In this paper we studied linear transformations in plane and space and ways of generating fractal sets which use linear transformations. Two algorithms for generating IFS fractals are described and number of examples are analysed such that the description of their construction is given, linear transformations needed for their construction are described, fractal dimension is calculated and some of their variations are mentioned and also described. Lack of efficiency of deterministic algorithm is shown on the example of Barnsley's fern which was also used to describe both versions of random algorithm. The procedure for generating fractal flames is also given. Simple application for displaying geometric transformations and random algorithm for generating IFS fractals is made.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:086488
Study programmeTitle: 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 resourceText
File originBorn digital
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Created on2019-03-13 19:27:20