prikaz prve stranice dokumenta Adaptive lifting scheme for nonseparable two-dimensional wavelet transforms
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doctoral thesis
Adaptive lifting scheme for nonseparable two-dimensional wavelet transforms
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2006. urn:nbn:hr:168:544047
Vrankić, Miroslav
University of Zagreb
Faculty of Electrical Engineering and Computing
Department of Electronic Systems and Information Processing

Institutional repository: FER Repository

Cite this document

Vrankić, M. (2006). Adaptive lifting scheme for nonseparable two-dimensional wavelet transforms (Doctoral thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:544047

Vrankić, Miroslav. "Adaptive lifting scheme for nonseparable two-dimensional wavelet transforms." Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2006. https://urn.nsk.hr/urn:nbn:hr:168:544047

Vrankić, Miroslav. "Adaptive lifting scheme for nonseparable two-dimensional wavelet transforms." Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2006. https://urn.nsk.hr/urn:nbn:hr:168:544047

Vrankić, M. (2006). 'Adaptive lifting scheme for nonseparable two-dimensional wavelet transforms', Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:168:544047

Vrankić M. Adaptive lifting scheme for nonseparable two-dimensional wavelet transforms [Doctoral thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2006 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:168:544047

M. Vrankić, "Adaptive lifting scheme for nonseparable two-dimensional wavelet transforms", Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2006. Available at: https://urn.nsk.hr/urn:nbn:hr:168:544047

Metadata
TitleAdaptive lifting scheme for nonseparable two-dimensional wavelet transforms
Title (croatian)Adaptivna shema podizanja za neseparabilne dvodimenzionalne valićne transformacije
AuthorMiroslav Vrankić
MentorDamir Seršić (mentor)
Committee memberSven Lončarić (predsjednik povjerenstva)
Committee memberDamir Seršić (član povjerenstva)
Committee memberHrvoje Šikić (član povjerenstva)
Committee memberSonja Grgić (član povjerenstva)
Committee memberAtanas Gotchev (član povjerenstva)
VIAF: 305044237
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
(Department of Electronic Systems and Information Processing)
Zagreb
Defense date and country2006-07-06, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Electronics
Universal decimal classification
(UDC)		621.3 - Electrical engineering
Abstract
In this thesis, we propose the novel adaptive wavelet filter bank structures that are used to obtain efficient representations of the analyzed images. We present the lifting scheme structures for building adaptive wavelet decompositions based on the nonseparable quincunx sampling scheme. The resulting wavelet decompositions are adaptive to the local properties of the analyzed image. Despite the introduced adaptation, a desired number of vanishing moments is still retained. The proposed adaptation is performed in order to minimize the energy of detail coefficients on a neighborhood of each pixel of the analyzed image. The appropriate neighborhood is determined for each pixel separately by using the intersection of confidence intervals (ICI) rule. The application of the ICI rule improves the estimation of the filter bank parameters and makes it more robust to noise. The image denoising results are presented for both synthetic and real-world images. It is shown that the adaptive wavelet decompositions outperform the existing fixed decompositions in terms of denoising quality of images that contain periodic components, and in general they give more compact image representations.
Abstract (croatian)
U ovoj disertaciji predlažemo nove adaptivne valićne filtarske strukture koje se koriste za dobivanje efikasnih reprezentacija analiziranih slika. U radu prikazujemo filtarske slogove temeljene na shemi podizanja za konstrukciju adaptivnih valićnih razlaganja zasnovanih na neseparabilnom quincunx uzorkovanju. Rezultirajuća valićna razlaganja su prilagođena lokalnim svojstvima analizirane slike. Unatoč uvedenoj adaptaciji, zadržan je željeni broj nul-momenata pripadajućihih vali ćnih funkcija. Adaptacija se vrši sa ciljem minimizacije koeficijenata detalja na okolini svakog slikovnog elementa. Odabir odgovarajuće okoline za svaki slikovni element vrši se korištenjem metode presjecišta invervala pouzdanosti. Primjena dotične metode poboljšava adaptaciju parametara filtarskog sloga i čini je robusnijom na šum. Rezultati uklanjanja šuma iz slike prikazani su za primjere sintetičkih kao i realnih slika. Pokazano je da dobivena adaptivna valićna razlaganja nadmašuju postojeća fiksna razlaganja s obzirom na kvalitetu uklanjanja šuma iz slika koje sadrže periodičke komponente, te općenito daju kompaktniji zapis slike.
Keywords
Keywords (croatian)
Languageenglish
URN:NBNurn:nbn:hr:168:544047
Study programmeTitle: Doctoral study programme "Electrical Engineering and Computing"
Study programme type: university
Study level: postgraduate
Academic / professional title: doktor/doktorica znanosti, po-dručje tehničkih znanosti (doktor/doktorica znanosti, po-dručje tehničkih znanosti)
Type of resourceText
File originBorn digital
Access conditionsClosed access
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Created on2019-06-28 09:03:59