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master's thesis
Inverzni problemi velikih dimenzija kod obrade slika
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:457738
Jeličić, Goran
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Jeličić, G. (2019). Inverzni problemi velikih dimenzija kod obrade slika (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:457738

Jeličić, Goran. "Inverzni problemi velikih dimenzija kod obrade slika." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:457738

Jeličić, Goran. "Inverzni problemi velikih dimenzija kod obrade slika." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:457738

Jeličić, G. (2019). 'Inverzni problemi velikih dimenzija kod obrade slika', Master's thesis, University of Zagreb, Faculty of Science, accessed 30 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:457738

Jeličić G. Inverzni problemi velikih dimenzija kod obrade slika [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 December 30] Available at: https://urn.nsk.hr/urn:nbn:hr:217:457738

G. Jeličić, "Inverzni problemi velikih dimenzija kod obrade slika", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:457738

Metadata
TitleInverzni problemi velikih dimenzija kod obrade slika
AuthorGoran Jeličić
MentorNela Bosner (mentor)
Committee memberNela Bosner (predsjednik povjerenstva)
Committee memberGoranka Nogo (član povjerenstva)
Committee memberAna Prlić (član povjerenstva)
Committee memberMaja Resman (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2019-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Inverzni problemi velikih dimenzija pojavljuju se u različitim primjenama u sklopu obrade slika. Zbog numeričke osjetljivosti rješavanja takvih problema, efikasne metode regularizacije su potrebne kako bi se izračunala suvisla rješenja. Ovaj rad dao bi pregled nekoliko uobičajenih matematičkih modela, uključujući linearni model, separabilan nelinearan model, i općeniti nelinearan model. Razmotriti će se tehnike regularizacije i implementacije problema velikih dimenzija, sa posebnim fokusom na algoritme koje mogu iskoristiti specifičnu strukturu problema. Mogućnosti i potencijal opisanih algoritama ilustrirat će se primjerima iz dekonvolucije slika, slijepe dekonvolucije slika sa više okvira i tomosinteze. Na kraju bi se teorija ilustrirala konkretnim primjerima izraženim u MATLAB okruženju.
Abstract (english)
Large-scale inverse problems occur in a variety of applications in image processing. Due to the numerical sensitivity of solving such problems, effective regularization methods are needed in order to calculate it coherent solutions. This thesis gives an overview of a few common mathematical models, including linear model, separable nonlinear model, and generalize nonlinear model. Regularization and implementation techniques are considered, with a particular focus on algorithms that can take advantage of the specific problem structure. The possibilities and potential of described algorithms are illustrated with examples from image deconvolution, blind frame deconvolution, and tomosynthesis. Finally, the theory is illustrated with concrete examples expressed in the MATLAB environment.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:457738
Study programmeTitle: Applied Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2020-02-05 10:42:20