Usporedba metoda za promjenu razlučivosti slike

master's thesis

• Author: Lovre Grzunov
• Mentor: Tina Bosner (mentor)
• Committee member: Tina Bosner (predsjednik povjerenstva)
• Committee member: Ozren Perše (član povjerenstva)
• Committee member: Igor Ciganović (član povjerenstva)
• Committee member: Tomislav Berić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2019-07-16, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Cilj ovog rada je upoznati se s metodama za promjenu razlučivosti slike, kako bi ih mogli primijeniti na konkretnim primjerima i usporediti dobivene rezultate. Metode koje smo obradili su metoda najbližeg susjeda, linearne interpolacije, kubične konvolucijske interpolacije i kubične splajn interpolacije. Metode smo testirali na crno-bijelim slikama, standardnim za ovakvu vrstu primjene. Evaluacija dobivenih rezultata pojedinih metoda obavljena je Peak signal-to-noise radio formulom, na četiri različite slike. Očekivano, metoda kubične splajn interpolacije, u većini slučajeva je ponudila najbolja rješenja, dok je najjednostavnija metoda najbližeg susjeda na jednom od četiri primjera neočekivano pružila najbolji rezultat. Za svaku od metoda priložen je i programski realiziran algoritam, nastao korištenjem programskog jezika Python.

Abstract (english)

The main goal of this thesis is to analize methods for digital image processing, and use acquired knowledge for implementation on real examples which will be evaluated. Nearest neighbour, linear interpolation, cubic convolution interpolation and cubic spline interpolation are the methods analyzed in this thesis. All methods are implemented on grayscale images, standard for this kind of problem. Evaluation of methods is accomplished by Peak signal-to-noise radio formula, on four different images. Predictably, in most cases, cubic spline method provided highest PSNR score. Interestingly, tho most plane method, nearest neighbour, stepped up in one exapmle, and provided the best PSNR score. All algorithms are developed using Python.

• Keywords: promjena razlučivosti slike; metoda najbližeg susjeda; metoda linearne interpolacije; metoda kubične konvolucijske interpolacije; metoda kubične splajn interpolacije; Python
• Keywords (english): digital image processing; nearest neighbor method; linear interpolation method; cubic convolution interpolation method; cubic spline interpolation method; Python
• Language: croatian
• URN:NBN: urn:nbn:hr:217:882473
• Study programme: Title: Mathematics and Computer Science Education; specializations in: Mathematics and Computer Science Education; Course: Mathematics and Computer Science Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-09-25 09:17:44