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Dissertations / Theses on the topic 'Wavelets (Mathematics)'

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Published: 4 June 2021

Last updated: 30 July 2024

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1

Colthurst, Thomas. "Multidimensional wavelets." Thesis, Massachusetts Institute of Technology, 1997. http://hdl.handle.net/1721.1/43934.

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2

Kutyniok, Gitta. "Affine density in wavelet analysis /." Berlin [u.a.] : Springer, 2007. http://www.gbv.de/dms/ilmenau/toc/529512874.PDF.

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3

Hua, Xinhou. "Dynamical systems and wavelets." Thesis, University of Ottawa (Canada), 2002. http://hdl.handle.net/10393/6143.

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The first part of this thesis is concerned with Bakers Conjecture (1984) which says that two permutable transcendental entire functions have the same Julia set. To this end, we shall exhibit that two permutable transcendental entire functions of a certain type have the same Julia set. So far, this is the best result to the conjecture. The second part relates to Newton's method to find zeros of functions. We shall look for the locations of the limits of the iterating sequence of the relaxed Newton function on its wandering domains. A relaxed Newton function with corresponding properties is cons

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4

Karoui, Abderrazek. "Multidimensional wavelets and applications." Thesis, University of Ottawa (Canada), 1995. http://hdl.handle.net/10393/9492.

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In this thesis, one- as well as multi-dimensional biorthogonal wavelet filters are designed and used for the construction of compactly supported wavelet bases. In particular, an adaptation of the McClellan transformation is used to design nonseparable 2-D biorthogonal wavelet bases. Some examples of 2-D biorthogonal wavelet filters are given in the case of the quincunx sampling lattice. Some theoretical and technical results known in the one-dimensional case have been generalized to the n-dimensional case. This generalization leads to a better understanding of the theory and design of multidim

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5

Bowman, Christopher 1969. "Pattern formation and wavelets." Diss., The University of Arizona, 1997. http://hdl.handle.net/10150/288741.

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This thesis is a collection of results associated with pattern formation, and consists of several novel results. A multi-scale analysis is carried out near the lasing bifurcation on equations which model the free carrier semiconductor laser. This analysis produces an amplitude equation which resembles the Swift-Hohenberg equation derived for the simpler two level laser, but with extra terms arising from the more complicated semiconductor system. New results are also presented in the analysis of phase equations for patterns, showing that defects are weak solutions of the phase diffusion equatio

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6

Pelletier, Emile. "Instrument de-synthesis using wavelets." Thesis, University of Ottawa (Canada), 2005. http://hdl.handle.net/10393/27008.

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Our point of departure is the concept of 'additive synthesis', which is the traditional explanation for the individual of 'timbre' or 'colour' of the sound of the various musical instruments. When an instrument sounds a note, one hears the note as if by itself, but this is not what is physically happening. What is in fact occurring is a complex waveform featuring a collection of harmonic frequencies, referred to as the spectrum. A synthesizer attempts to imitate the sound of a particular instrument by replicating the amplitudes of its harmonics. We use the term 'de-synthesis' to refer to the i

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7

Shen, Jianhong 1971. "Asymptotics of wavelets and filters." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/47469.

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8

Hunter, Karin M. "Interpolatory refinable functions, subdivision and wavelets." Thesis, Stellenbosch : University of Stellenbosch, 2005. http://hdl.handle.net/10019.1/1156.

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Thesis (DSc (Mathematical Sciences))--University of Stellenbosch, 2005.<br>Subdivision is an important iterative technique for the efficient generation of curves and surfaces in geometric modelling. The convergence of a subdivision scheme is closely connected to the existence of a corresponding refinable function. In turn, such a refinable function can be used in the multi-resolutional construction method for wavelets, which are applied in many areas of signal analysis.

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9

Sablik, Mathieu. "Wavelets in Abstract Hilbert Space." Thesis, Uppsala University, Department of Mathematics, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-122553.

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10

Yu, Lu. "Wavelets on hierarchical trees." Diss., University of Iowa, 2016. https://ir.uiowa.edu/etd/2302.

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Signals on hierarchical trees can be viewed as a generalization of discrete signals of length 2^N. In this work, we extend the classic discrete Haar wavelets to a Haar-like wavelet basis that works for signals on hierarchical trees. We first construct a specific wavelet basis and give its inverse and normalized transform matrices. As analogue to the classic case, operators and wavelet generating functions are constructed for the tree structure. This leads to the definition of multiresolution analysis on a hierarchical tree. We prove the previously selected wavelet basis is an orthogonal multir

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11

Zheng, Ellen Yanqing. "A comparative study of wavelets and multiwavelets." Thesis, University of Ottawa (Canada), 1996. http://hdl.handle.net/10393/9651.

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In this thesis, some basic concepts and theorems are studied, leading to the cascade algorithm which is the most usual approximating method used in the construction of wavelets. By considering the symmetry property of scalar wavelets, Lawton's complex-valued scalar wavelets are studied and some recent results are implemented in the theory of complex-valued scalar wavelets. Another important part of this thesis is the study of multiwavelets. Some comparisons are made among real-valued scalar wavelets, complex-valued scalar wavelets and real-valued multiwavelets. A special contribution is the fi

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12

Tomas, Brian. "Theory and application of frequency selective wavelets /." Thesis, Connect to this title online; UW restricted, 1992. http://hdl.handle.net/1773/5755.

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13

Navarro, Jaime. "The Continuous Wavelet Transform and the Wave Front Set." Thesis, University of North Texas, 1993. https://digital.library.unt.edu/ark:/67531/metadc277762/.

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In this paper I formulate an explicit wavelet transform that, applied to any distribution in S^1(R^2), yields a function on phase space whose high-frequency singularities coincide precisely with the wave front set of the distribution. This characterizes the wave front set of a distribution in terms of the singularities of its wavelet transform with respect to a suitably chosen basic wavelet.

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14

Rohwer, Birgit. "A multiresolutional approach to the construction of spline wavelets." Thesis, Stellenbosch : Stellenbosch University, 2000. http://hdl.handle.net/10019.1/51580.

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Thesis (MSc) -- University of Stellenbosch, 2000.<br>ENGLISH ABSTRACT: In this thesis we study a wavelet construction procedure based on a multiresolutional method, before specializing to the case of spline wavelets. First, we introduce and analyze the concepts of scaling functions and their duals, after which we analyze the multiresolutional analysis (MM) which they generate. The advantages of orthonormality in scaling functions are pointed out and discussed. Following the methods which were introduced in two standard texts of Chui, we next show how a minimally supported wavelet and it

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15

Leach, Sandie Patricia. "Density conditions on Gabor frames." Thesis, Available online, Georgia Institute of Technology, 2004:, 2003. http://etd.gatech.edu/theses/available/etd-04082004-180257/unrestricted/leach%5Fsandie%5Fp%5F200312%5Fms.pdf.

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16

Hoover, Kenneth R. "Dimension functions of rationally dilated wavelets /." view abstract or download file of text, 2007. http://proquest.umi.com/pqdweb?did=1400959361&sid=1&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2007.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 80-83) and index. Also available for download via the World Wide Web; free to University of Oregon users.

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17

鍾鈞鎂 and Jun-mei Zhong. "Application of wavelets in image compression." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B42575667.

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18

Zhong, Jun-mei. "Application of wavelets in image compression." Click to view the E-thesis via HKUTO, 2000. http://sunzi.lib.hku.hk/hkuto/record/B42575667.

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19

Sze, Chuen-kan, and 施泉根. "On framelets and their applications: a discrete approach." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B29803937.

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20

張英傑 and Ying-kit Alan Cheung. "Some results in wavelet theory and their applications." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1997. http://hub.hku.hk/bib/B31215130.

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21

黃永樑 and Wing-leung Wong. "Some results on biorthogonal wavelet matrices and their applications." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B42575370.

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22

Wong, Wing-leung. "Some results on biorthogonal wavelet matrices and their applications." Click to view the E-thesis via HKUTO, 2000. http://sunzi.lib.hku.hk/hkuto/record/B42575370.

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23

Cheung, Ying-kit Alan. "Some results in wavelet theory and their applications /." Hong Kong : University of Hong Kong, 1997. http://sunzi.lib.hku.hk/hkuto/record.jsp?B19102677.

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24

Cao, Jiansheng. "Construction of piecewise linear wavelets." [Johnson City, Tenn. : East Tennessee State University], 2002. http://etd-submit.etsu.edu/etd/theses/available/etd-0715102-142035/unrestricted/CaoJ071802a.pdf.

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25

Whitcher, Brandon. "Assessing nonstationary time series using wavelets /." Thesis, Connect to this title online; UW restricted, 1998. http://hdl.handle.net/1773/8957.

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26

Moubandjo, Desiree V. "Polynomial containment in refinement spaces and wavelets based on local projection operators." Thesis, Stellenbosch : Stellenbosch University, 2007. http://hdl.handle.net/10019.1/16418.

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27

Jacobs, Denise Anne. "Multiwavelets in higher dimensions." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/28780.

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28

Struble, Dale William. "Wavelets on manifolds and multiscale reproducing kernel Hilbert spaces." Related electronic resource:, 2007. http://proquest.umi.com/pqdweb?did=1407687581&sid=1&Fmt=2&clientId=3739&RQT=309&VName=PQD.

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29

Shi, Fangmin. "Wavelet transforms for stereo imaging." Thesis, University of South Wales, 2002. https://pure.southwales.ac.uk/en/studentthesis/wavelet-transforms-for-stereo-imaging(65abb68f-e30b-4367-a3a8-b7b3df85f566).html.

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Stereo vision is a means of obtaining three-dimensional information by considering the same scene from two different positions. Stereo correspondence has long been and will continue to be the active research topic in computer vision. The requirement of dense disparity map output is great demand motivated by modern applications of stereo such as three-dimensional high-resolution object reconstruction and view synthesis, which require disparity estimates in all image regions. Stereo correspondence algorithms usually require significant computation. The challenges are computational economy, accur

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30

Tieng, Quang Minh. "Wavelet transform based techniques for the recognition of objects in images." Thesis, Queensland University of Technology, 1996.

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Despite its short history, the wavelet transform has found application in a remarkable diversity of disciplines: Mathematics, Physics, Numerical Analysis,Signal Processing and others. In this thesis, we explore applications of this transform in image analysis and devise several algorithms for recognising objects in an image of a scene. Five different algorithms, consisting of representations and matching techniques, have been proposed for handling different kinds of objects in different situations.

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31

梁鴻鈞 and Hung-kwan Leung. "Multi-rank wavelet filters." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31224714.

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32

Leung, Hung-kwan. "Multi-rank wavelet filters." Hong Kong : University of Hong Kong, 2001. http://sunzi.lib.hku.hk/hkuto/record.jsp?B23242395.

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33

Westra, Seth Pieter Civil &amp Environmental Engineering Faculty of Engineering UNSW. "Probabilistic forecasting of multivariate seasonal reservoir inflows: accounting for spatial and temporal variability." Awarded by:University of New South Wales. Civil & Environmental Engineering, 2007. http://handle.unsw.edu.au/1959.4/40630.

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Hydrological variables such as rainfall and streamfiow vary at a range of temporal scales, from short term (diurnal and seasonal) to the inter annual time scales associated with the El Nino - Southern Oscillation (ENSO) and Indian Ocean Dipole (IOD) phenomena, to even longer time scales such as those linked to the Pacific (inter-) Decadal Oscillation (PDO). This temporal variability poses a significant challenge to hydrologists and water resource managers, since a failure to take such variability into account can lead to an underestimation of the likelihood of droughts and sequences of above a

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34

Donovan, George C. "Fractal functions, splines, and wavelet." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/30411.

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35

盧子峰 and Tsz-fung Lo. "Wavelet-based head-related transfer function analysis for audiology." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B31237472.

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36

Roberson, Dawnlee June. "Correlation and wavelet analysis of the surface electromyogram, the electroneurogram and generated force /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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37

Lo, Tsz-fung. "Wavelet-based head-related transfer function analysis for audiology /." Hong Kong : University of Hong Kong, 1998. http://sunzi.lib.hku.hk/hkuto/record.jsp?B19712224.

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38

Hong, Tao. "Object recognition with features from complex wavelets." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610239.

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39

Leung, King Tai. "Super-resolution image reconstruction based on wavelet-estimation : development and theoretical framework." HKBU Institutional Repository, 2009. http://repository.hkbu.edu.hk/etd_ra/993.

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40

Li, Zheng. "Approximation to random process by wavelet basis." View abstract/electronic edition; access limited to Brown University users, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3318378.

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41

Lutz, Steven S. "Hokua – A Wavelet Method for Audio Fingerprinting." Diss., CLICK HERE for online access, 2009. http://contentdm.lib.byu.edu/ETD/image/etd3247.pdf.

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42

Mufti, Muid Ur-Rahman. "Fault detection and identification using fuzzy wavelets." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/16472.

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43

Tabb, Jeremiah R. "Using wavelets and principle components analysis to model data from simulated sheet forming processes." Thesis, Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/10146.

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44

Betaneli, Dmitri 1970. "Wavelets and PDEs : the improvement of computational performance using multi-resolution analysis." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/10132.

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45

Lavrik, Ilya A. "Novel wavelet-based statistical methods with applications in classification, shrinkage, and nano-scale image analysis." Available online, Georgia Institute of Technology, 2006, 2006. http://etd.gatech.edu/theses/available/etd-11162005-131744/.

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Thesis (Ph. D.)--Industrial and Systems Engineering, Georgia Institute of Technology, 2006.<br>Huo, Xiaoming, Committee Member ; Heil, Chris, Committee Member ; Wang, Yang, Committee Member ; Hayter, Anthony, Committee Member ; Vidakovic, Brani, Committee Chair.

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46

Pun, Ka-shun Carson, and 潘加信. "New design and realization techniques for perfect reconstruction two-channel filterbanks and wavelets bases." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B31226632.

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47

Yu, Xiaojiang Gabardo Jean-Pierre. "Wavelet sets, integral self-affine tiles and nonuniform multiresolution analyses." *McMaster only, 2005.

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48

Ng, Brian Walter. "Wavelet based image texture segementation using a modified K-means algorithm." Title page, table of contents and abstract only, 2003. http://web4.library.adelaide.edu.au/theses/09PH/09phn5759.pdf.

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"August, 2003" Bibliography: p. 261-268. In this thesis, wavelet transforms are chosen as the primary analytical tool for texture analysis. Specifically, Dual-Tree Complex Wavelet Transform is applied to the texture segmentation problem. Several possibilities for feature extraction and clustering steps are examined, new schemes being introduced and compared to known techniques.

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49

Garantziotis, Anastasios. "A wavelet-based prediction technique for concealment of loss-packet effects in wireless channels." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2002. http://library.nps.navy.mil/uhtbin/hyperion-image/02Jun%5FGarantziotis.pdf.

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Thesis (M.S. in Electrical Engineering)--Naval Postgraduate School, June 2002.<br>Thesis advisor(s): Murali Tummala, Robert Ives. Includes bibliographical references (p. 89-90). Also available online.

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50

Ahiati, Veroncia Sitsofe. "Cardinal spline wavelet decomposition based on quasi-interpolation and local projection." Thesis, Stellenbosch : University of Stellenbosch, 2009. http://hdl.handle.net/10019.1/2580.

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Thesis (MSc (Mathematics))--University of Stellenbosch, 2009.<br>Wavelet decomposition techniques have grown over the last two decades into a powerful tool in signal analysis. Similarly, spline functions have enjoyed a sustained high popularity in the approximation of data. In this thesis, we study the cardinal B-spline wavelet construction procedure based on quasiinterpolation and local linear projection, before specialising to the cubic B-spline on a bounded interval. First, we present some fundamental results on cardinal B-splines, which are piecewise polynomials with uniformly space

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