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doctoral thesis
Adaptive wavelet transform with application in signal denoising
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2010. urn:nbn:hr:168:089406
Tomić, Mladen
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

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Tomić, M. (2010). Adaptive wavelet transform with application in signal denoising (Doctoral thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:089406

Tomić, Mladen. "Adaptive wavelet transform with application in signal denoising." Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2010. https://urn.nsk.hr/urn:nbn:hr:168:089406

Tomić, Mladen. "Adaptive wavelet transform with application in signal denoising." Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2010. https://urn.nsk.hr/urn:nbn:hr:168:089406

Tomić, M. (2010). 'Adaptive wavelet transform with application in signal denoising', Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 05 May 2024, https://urn.nsk.hr/urn:nbn:hr:168:089406

Tomić M. Adaptive wavelet transform with application in signal denoising [Doctoral thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2010 [cited 2024 May 05] Available at: https://urn.nsk.hr/urn:nbn:hr:168:089406

M. Tomić, "Adaptive wavelet transform with application in signal denoising", Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2010. Available at: https://urn.nsk.hr/urn:nbn:hr:168:089406

Metadata
TitleAdaptive wavelet transform with application in signal denoising
Title (english)Adaptivna valićna transformacija s primjenom na uklanjanje šuma iz signala
AuthorMladen Tomić
MentorDamir Seršić (mentor)
Committee memberSven Lončarić (predsjednik povjerenstva)
Committee memberViktor Sučić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2010-02-26, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Universal decimal classification
(UDC)		621.3 - Electrical engineering
Abstract
We propose an adaptive lifting scheme with a goal of improving the wavelet transform performance about edges in a signal. The adaptive algorithm is based on the statistical method of intersection of confidence intervals (ICI) rule. It is used on a point-by-point basis, and on each scale. As a final result, longer and smoother wavelets are used in smooth signal regions, while shorter wavelets are used in higher frequency regions. The approach allows for efficient reconstruction of edges or, in general, higher signal frequencies. Additionally, a method for automated sensitivity parameter $\Gamma$ value selection was proposed, as its proper value is a prerequisite for high transform efficiency. The adaptive algorithm was also tested in a real-world application of fluoroscopic image sequences denoising, in which edge preservation is an essential requirement. The proposed adaptive edge preserving lifting scheme and accompanying parameter $\Gamma$ selection method were shown to represent a well performing model of the second generation wavelets, i.e., wavelets which inherit all the benefits and good properties of the classical wavelet transforms, while in the same time introducing additional advantages and features.
Abstract (english)
Predložena je adaptivna shema podizanja čiji je cilj poboljšavanje učinkovitosti valićne transformacije u okolini rubova unutar signala. Adaptivni je algoritam baziran na stastističkoj metodi pravilo presjeka intervala pouzdanosti (Intersection of Confidence Intervals -- ICI). Metoda se koristi na svakom nivou razlaganja i u svakoj točki signala. Kao konačni rezultat, dulji i glatki valići koriste se za glatke dijelove signala, dok se kraći valići koriste u dijelovima signala u kojima su prisutne više frekvencije. Takav pristup omogućava učinkovitu rekonstrukciju rubova unutar signala odnosno, općenito, visokih frekvencija. Dodatno, predložena je i metoda za automatsko određivanje vrijednosti parametra osjetljivosti transformacije, Γ, čiji je dobar odabir preduvjet za njenu visoku učinkovitost. Adaptivni je algoritam testiran i na primjeni uklanjanja šuma iz stvarnih fluoroskopskih nizova slika, pri čemu je očuvanje rubova unutar slike ključan zahtjev. Predložena adaptivna shema podizanja sa svojstvom očuvanja rubova unutar signala, te pripadajuća metoda odabira Γ parametra, učinkovita su realizacija valića druge generacije, odnosno valića koji zadržavaju sve prednosti i dobre značajke klasičnih valića, ali u isto vrijeme donose i nove mogućnosti te poboljšanja učinkovitosti.
Keywords
Keywords (english)
Languageenglish
URN:NBNurn:nbn:hr:168:089406
Promotion2010
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
Extenti, 149 str. : graf. prikazi
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-03-18 09:45:09