APPLICATION OF THE FIXED POINT THEOREM TO DIGITAL IMAGE
DOI:
https://doi.org/10.24867/04JV01BaljintKeywords:
digital metric space, digital image, Banach fixed point theorem, denoising imageAbstract
The subject of work research is related to the concept of digital image, i.e. the application of Banach's theorem on a fixed point in a digital image, as well as some of the methods of image denatization. The notion of Banach's contraction principle is related to metric spaces, and therefore to digital metric spaces. Knowledge of the existence of a fixed point has applications in many branches of analysis and topology, but it is also applied in some areas of computer science, such as computer graphics, image processing, and so on.
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Fakultet tehničkih nauka, Novi Sad
[2] https://nastavnikinformatike.com/index.php/
digitalna-slika (pristupljeno u martu 2019.)
[3] https://dsp.etfbl.net/multimediji/2017/09_slika.pdf
(pristupljeno u martu 2019.)
[4] Ozgur Ege, Ismet Karaca, Banach fIxed point
theorem for digital images, Turkey
[5] https://arxiv.org/pdf/1806.06110.pdf
(prikupljeno u oktobru 2018. )
[6] http://dmuw.zum.de/images/b/bd/Banach2.pdf
(prikupljeno u oktobru 2018. )
[7] http://www.milanmerkle.com/documents/3za%20stud ente%20racunarstva/3-insert.pdf
(prikupljeno u oktobru 2018. )
[8] https://tehinginiring.ru/bs/ averaging-method.html
(pristupljeno u martu 2019.)
[9] J.Matta, S.Siltanen and T.Roos, A fixed point image
Denoising algorithm with automatic window
Selection, 2014 IEEE
[10] Master rad N.Gajinov, Banahov princip kontrakcije
-primene i generalizacije, decembar 2010.
[11] https://sr.wikipedia.org/sr-el/Троугао_Сјерпињског
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Published
2019-10-01
Issue
Section
Mathematics in Engineering