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undergraduate thesis
Primjena interpolacije u digitalnoj obradi slika
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. urn:nbn:hr:126:999137
Josipović, Iwan
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Computer Science Research Group

Cite this document

Josipović, I. (2018). Primjena interpolacije u digitalnoj obradi slika (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:999137

Josipović, Iwan. "Primjena interpolacije u digitalnoj obradi slika." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:999137

Josipović, Iwan. "Primjena interpolacije u digitalnoj obradi slika." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:999137

Josipović, I. (2018). 'Primjena interpolacije u digitalnoj obradi slika', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 26 March 2023, https://urn.nsk.hr/urn:nbn:hr:126:999137

Josipović I. Primjena interpolacije u digitalnoj obradi slika [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2018 [cited 2023 March 26] Available at: https://urn.nsk.hr/urn:nbn:hr:126:999137

I. Josipović, "Primjena interpolacije u digitalnoj obradi slika", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:126:999137

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Metadata
TitlePrimjena interpolacije u digitalnoj obradi slika
Title (english)Interpolation in Digital Image Processing
AuthorIwan Josipović
MentorDomagoj Matijević (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics)
(Computer Science Research Group)
Osijek
Defense date and country2018-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Logic and Accounting
Abstract
U ovom ćemo radu defnirati pojam interpolacije za neki dani skup podataka. Obraditi ćemo neke od 1-D metode interpolacije, a to su: metoda najbližeg susjedstva, linearna interpolacija i kubična interpolacija. Upoznati ćemo se s osnovama interpolacije kroz jednostavne primjere i stečeno znanje primjenjivati na sve kompleksnije primjere. Također ćemo obraditi i metode 2-D interpolacije, a to su: metoda najbližeg susjedstva, bilinearna interpolacija i bikubična interpolacija. Pretežno ćemo se baviti problemom uvećavanja slika, ali također ćemo spomenuti da se iste metode koriste kod rotacije slika, smanjivanja slika, iskrivljavanja slika i slično. Metode ćemo analizirati na zajedničkom primjeru, te usporedit dobivene rezultate kako bismo zaključili što u praksi dobivamo uporabom istih tih metoda. Ovisno o rezultatima koje nam daju pojedine metode, zaključiti ćemo gdje je najbolje primjenjivati te metode i zašto.
Abstract (english)
In this work we will dene interpolation for a given data set. We will cover some of the 1-D interpolation methods such as: nearest neighbour interpolation, linear interpolation and cubic interpolation. We will learn about the basics of interpolation through simple examples, and use the acquired knowledge on more complex examples. Also we will cover some 2-D interpolation methods such as: neirest neighbour interpolation, bilinear interpolation and bicubic interpolation. Our main focus will be image scaling, but we will also mention that the same interpolation methods are used with image rotation, downsizing, distortion etc. We will analize our methods on a common example, and compare the results so we can deduce the benets of those methods. Depending on the results, we will deduce why and where those methods should be used.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:999137
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of Department of Mathematics Osijek
Created on2018-10-18 06:29:10