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Dissertations / Theses on the topic 'Multiresolution wavelet analyses'

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Published: 4 June 2021

Last updated: 7 February 2022

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1

Kalmbach, Mark Russell. "Wavelet-based multiresolution analyses of signals." Thesis, Monterey, California. Naval Postgraduate School, 1992. http://hdl.handle.net/10945/23812.

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2

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

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3

Zhao, Fangwei. "Multiresolution analysis of ultrasound images of the prostate." University of Western Australia. School of Electrical, Electronic and Computer Engineering, 2004. http://theses.library.uwa.edu.au/adt-WU2004.0028.

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[Truncated abstract] Transrectal ultrasound (TRUS) has become the urologist’s primary tool for diagnosing and staging prostate cancer due to its real-time and non-invasive nature, low cost, and minimal discomfort. However, the interpretation of a prostate ultrasound image depends critically on the experience and expertise of a urologist and is still difficult and subjective. To overcome the subjective interpretation and facilitate objective diagnosis, computer aided analysis of ultrasound images of the prostate would be very helpful. Computer aided analysis of images may improve diagnostic ac

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4

Carannante, Simona <1976&gt. "Multiresolution spherical wavelet analysis in global seismic tomography." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2008. http://amsdottorato.unibo.it/871/.

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Every seismic event produces seismic waves which travel throughout the Earth. Seismology is the science of interpreting measurements to derive information about the structure of the Earth. Seismic tomography is the most powerful tool for determination of 3D structure of deep Earth's interiors. Tomographic models obtained at the global and regional scales are an underlying tool for determination of geodynamical state of the Earth, showing evident correlation with other geophysical and geological characteristics. The global tomographic images of the Earth can be written as a linear combina

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5

Lee, Sang-Mook. "Wavelet-Based Multiresolution Surface Approximation from Height Fields." Diss., Virginia Tech, 2002. http://hdl.handle.net/10919/26203.

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A height field is a set of height distance values sampled at a finite set of sample points in a two-dimensional parameter domain. A height field usually contains a lot of redundant information, much of which can be removed without a substantial degradation of its quality. A common approach to reducing the size of a height field representation is to use a piecewise polygonal surface approximation. This consists of a mesh of polygons that approximates the surfaces of the original data at a desired level of accuracy. Polygonal surface approximation of height fields has numerous applications i

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Zhao, Fangwei. "Multiresolution analysis of ultrasound images of the prostate /." Connect to this title, 2003. http://theses.library.uwa.edu.au/adt-WU2004.0028.

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7

Lounsbery, John Michael. "Multiresolution analysis for surfaces of arbitrary topological type /." Thesis, Connect to this title online; UW restricted, 1994. http://hdl.handle.net/1773/6998.

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8

Anton, Wirén. "The Discrete Wavelet Transform." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-55063.

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In this thesis we will explore the theory behind wavelets. The main focus is on the discrete wavelet transform, although to reach this goal we will also introduce the discrete Fourier transform as it allow us to derive important properties related to wavelet theory, such as the multiresolution analysis. Based on the multiresolution it will be shown how the discrete wavelet transform can be formulated and show how it can be expressed in terms of a matrix. In later chapters we will see how the discrete wavelet transform can be generalized into two dimensions, and discover how it can be used in i

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9

May, Heather. "Wavelet-based Image Processing." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1448037498.

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10

Yi, Ju Y. "Definition and Construction of Entropy Satisfying Multiresolution Analysis (MRA)." DigitalCommons@USU, 2016. https://digitalcommons.usu.edu/etd/5057.

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This paper considers some numerical schemes for the approximate solution of conservation laws and various wavelet methods are reviewed. This is followed by the construction of wavelet spaces based on a polynomial framework for the approximate solution of conservation laws. Construction of a representation of the approximate solution in terms of an entropy satisfying Multiresolution Analysis (MRA) is deﬁned. Finally, a proof of convergence of the approximate solution of conservation laws using the characterization provided by the basis functions in the MRA will be given.

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11

Souza, Eniuce Menezes de [UNESP]. "Análise de wavelets para detecção e correção do multicaminho no posicionamento relativo GNSS estático e cinemático." Universidade Estadual Paulista (UNESP), 2008. http://hdl.handle.net/11449/86803.

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Made available in DSpace on 2014-06-11T19:22:25Z (GMT). No. of bitstreams: 0 Previous issue date: 2008-11-21Bitstream added on 2014-06-13T20:09:30Z : No. of bitstreams: 1 souza_em_dr_prud.pdf: 3668689 bytes, checksum: aa9f8f193e7b43db7e93ccc3d9a0428b (MD5)<br>Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)<br>O multicaminho é um dos fenômenos que ocorre quando o sinal proveniente do Global Navigation Satellite System (GNSS) reflete em objetos localizados nas proximidades do levantamento e chega ao receptor via múltiplos caminhos. Geralmente, o receptor GNSS recebe além do sin

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12

Bowman, Kevin W. "Application of wavelets to adaptive optics and multiresolution wiener filtering." Diss., Georgia Institute of Technology, 1996. http://hdl.handle.net/1853/14920.

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13

SILVA, AUCYONE A. da. "An integrated approach for plant monitoring and diagnosis using multiresolution wavelet analysis." reponame:Repositório Institucional do IPEN, 1997. http://repositorio.ipen.br:8080/xmlui/handle/123456789/11643.

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Made available in DSpace on 2014-10-09T12:54:15Z (GMT). No. of bitstreams: 0<br>Made available in DSpace on 2014-10-09T14:09:13Z (GMT). No. of bitstreams: 1 12438.pdf: 5594991 bytes, checksum: f79284c9b5ba64cbc05b0ee1eb78ef64 (MD5)<br>Tese (Doutoramento)<br>IPEN/T<br>The University of Tennessee

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Srinivas, Sushma. "DETECTING VULNERABLE PLAQUES WITH MULTIRESOLUTION ANALYSIS." Cleveland State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=csu1326932229.

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15

Fujii, Masafumi. "A time-domain Haar-wavelet-based multiresolution technique for electromagnetic field analysis." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape8/PQDD_0006/NQ40454.pdf.

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16

Sazish, Abdul Naser. "Efficient architectures and power modelling of multiresolution analysis algorithms on FPGA." Thesis, Brunel University, 2011. http://bura.brunel.ac.uk/handle/2438/6290.

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In the past two decades, there has been huge amount of interest in Multiresolution Analysis Algorithms (MAAs) and their applications. Processing some of their applications such as medical imaging are computationally intensive, power hungry and requires large amount of memory which cause a high demand for efficient algorithm implementation, low power architecture and acceleration. Recently, some MAAs such as Finite Ridgelet Transform (FRIT) Haar Wavelet Transform (HWT) are became very popular and they are suitable for a number of image processing applications such as detection of line singulari

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17

Gusmão, Joaquim Alexandre do Nascimento Ferreira Lapa de. "Dinâmica de preços à vista de electricidade . Uma análise empírica." Master's thesis, ISEG, 2007. http://hdl.handle.net/10400.5/22153.

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Este trabalho debruça-se sobre a dinâmica dos preços à vista de electricidade, de cada hora do dia (clearing pricé), no mercado liberalizado de energia eléctrica de Espanha, o OMEL Os factos estilizados da dinâmica dos preços à vista estão identificados em vários mercados, com maior ou menor grau, dependendo da estrutura desse mercado, e prendem-se com: periodicidades várias (diária, semanal e sazonalidade anual), regressão à média, picos nos preços, volatilidade variante. Na literatura existem variados modelos que incorporam a quantidade de energia eléctrica transaccionada como uma vari

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18

Busch, Andrew W. "Wavelet Transform For Texture Analysis With Application To Document Analysis." Queensland University of Technology, 2004. http://eprints.qut.edu.au/15908/.

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Texture analysis is an important problem in machine vision, with applications in many fields including medical imaging, remote sensing (SAR), automated flaw detection in various products, and document analysis to name but a few. Over the last four decades many techniques for the analysis of textured images have been proposed in the literature for the purposes of classification, segmentation, synthesis and compression. Such approaches include analysis the properties of individual texture elements, using statistical features obtained from the grey-level values of the image itself, random field m

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Lumbreras, Ruiz Felipe. "Segmentation, classification and modelization of textures by means of multiresolution decomposition techniques." Doctoral thesis, Universitat Autònoma de Barcelona, 2001. http://hdl.handle.net/10803/3024.

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El análisis de texturas es un área de estudio interesante con suficiente peso específico dentro de los diferentes campos que componen la visión por ordenador. En este trabajo hemos desarrollado métodos específicos para resolver aspectos importantes de dicha área. El primer acercamiento al tema viene de la mano de un problema de segmentación de un tipo de texturas muy concreto como son las imágenes microscópicas de láminas de mármol. Este primer tipo de imágenes se componen de un conjunto de granos cuyas formas y tamaños sirven a los especialistas para identificar, catalogar y determinar el ori

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20

Long, Ge. "Wavelets, frequency volume rendering and multiresolution analysis yield fast displays of acquired data." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq21047.pdf.

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21

Buch, Alok K. "An online strategy for wavelet based analysis of multiscale sensor data." [Tampa, Fla.] : University of South Florida, 2004. http://purl.fcla.edu/fcla/etd/SFE0000312.

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22

Souza, Eniuce Menezes de. "Análise de wavelets para detecção e correção do multicaminho no posicionamento relativo GNSS estático e cinemático /." Presidente Prudente, 2008. http://hdl.handle.net/11449/86803.

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Resumo: O multicaminho é um dos fenômenos que ocorre quando o sinal proveniente do Global Navigation Satellite System (GNSS) reflete em objetos localizados nas proximidades do levantamento e chega ao receptor via múltiplos caminhos. Geralmente, o receptor GNSS recebe além do sinal direto, também o sinal refletido, o qual é atrasado em relação ao sinal direto. Conseqüentemente, as medidas de pseudodistância (PD) e fase de batimento da onda portadora são rastreadas para um sinal composto, e não para o sinal direto, causando o erro do multicaminho. Esse efeito é uma fonte de erro significativa qu

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23

Ganesan, Rajesh. "Process monitoring and feedback control using multiresolution analysis and machine learning." [Tampa, Fla] : University of South Florida, 2005. http://purl.fcla.edu/usf/dc/et/SFE0001248.

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24

Sibony, Eric. "Analyse mustirésolution de données de classements." Thesis, Paris, ENST, 2016. http://www.theses.fr/2016ENST0036/document.

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Cette thèse introduit un cadre d’analyse multirésolution pour les données de classements. Initiée au 18e siècle dans le contexte d’élections, l’analyse des données de classements a attiré un intérêt majeur dans de nombreux domaines de la littérature scientifique : psychométrie, statistiques, économie, recherche opérationnelle, apprentissage automatique ou choix social computationel entre autres. Elle a de plus été revitalisée par des applications modernes comme les systèmes de recommandation, où le but est d’inférer les préférences des utilisateurs pour leur proposer les meilleures suggestions

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25

Sen, Aykut. "Optimizable Multiresolution Quadratic Variation Filter For High-frequency Financial Data." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/3/12610433/index.pdf.

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As the tick-by-tick data of financial transactions become easier to reach, processing that much of information in an efficient and correct way to estimate the integrated volatility gains importance. However, empirical findings show that, this much of data may become unusable due to microstructure effects. Most common way to get over this problem is to sample the data in equidistant intervals of calendar, tick or business time scales. The comparative researches on that subject generally assert that, the most successful sampling scheme is a calendar time sampling which samples the data every 5 t

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26

Fatmi, Hassane. "Méthodologie d’analyse des signaux et caractérisation hydrogéologique : application aux chroniques de données obtenues aux laboratoires souterrains du Mont Terri, Tournemire et Meuse/Haute-Marne." Thesis, Toulouse, INPT, 2009. http://www.theses.fr/2009INPT020H/document.

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Ce rapport présente des méthodes de prétraitement, d'analyse statistique et d'interprétation de chroniques hydrogéologiques de massifs peu perméables (argilites) dans le cadre d'études sur le stockage profond de déchets radioactifs. Les séries temporelles analysées sont la pression interstitielle et la pression atmosphérique, en relation avec différents phénomènes (marées terrestres, effet barométrique, évolution de l'excavation des galeries). Les pré-traitements permettent de reconstituer et homogénéiser les chroniques de données en présence de lacunes, aberrations, et pas de temps variables.

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27

Arruda, Elcio Franklin de. "Análise de distúrbios relacionados com a qualidade da energia elétrica utilizando a transformada Wavelet." Universidade de São Paulo, 2003. http://www.teses.usp.br/teses/disponiveis/18/18133/tde-25102007-090916/.

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O presente trabalho visa a utilização da transformada Wavelet no monitoramento do sistema elétrico no que diz respeito a problemas de qualidade da energia com o intuito de detectar, localizar e classificar os mesmos. A transformada Wavelet tem surgido na literatura como uma nova ferramenta para análise de sinais, utilizando funções chamadas Wavelet mãe para mapear sinais em seu domínio, fornecendo informações simultâneas nos domínios tempo e freqüência. A transformada Wavelet é realizada através de filtros decompondo-se um dado sinal em análise multiresolução. Por esta, obtém-se a detecção e a

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28

Age, Amber E. "A Survey of the Development of Daubechies Scaling Functions." Scholar Commons, 2010. https://scholarcommons.usf.edu/etd/1557.

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Wavelets are functions used to approximate data and can be traced back to several different areas, including seismic geology and quantum mechanics. Wavelets are applicable in many areas, including fingerprint and data compression, earthquake prediction, speech discrimination, and human vision. In this paper, we first give a brief history on the origins of wavelet theory. We will then discuss the work of Daubechies, whose construction of continuous, compactly supported scaling functions resulted in an explosion in the study of wavelets in the 1990's. These scaling functions allow for the constr

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Topalis, Apostolos. "Multiresolution wavelet analysis of event-related EEG potentials using ensemble of classifier data fusion techniques for early diagnosis of Alzheimer's disease /." Full text available online, 2006. http://www.lib.rowan.edu/find/theses.

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30

Faria, Regis Rossi Alves. "Aplicação de wavelets na análise de gestos musicais em timbres de instrumentos acústicos tradicionais." Universidade de São Paulo, 1997. http://www.teses.usp.br/teses/disponiveis/3/3142/tde-18072013-104904/.

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A expressividade é um elemento chave para o transporte de emoções em música, e seu modelamento, vital para a concepção de sistemas de síntese mais realistas. Gestos musicais executados durante a interpretação usualmente portam a informação responsável pela expressividade percebida, e podem ser rastreados por meio de padrões sônicos a eles associados em diversas escalas de resolução. Um conjunto relevante de gestos musicais expressivos foi estudado através de uma análise em multiresolução utilizando-se a transformada wavelet. A escolha deve-se principalmente à capacidade natural desta ferrament

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31

Filho, Odilon Delmont. "Utilização da transformada Wavelet para caracterização de distúrbios na qualidade da energia elétrica." Universidade de São Paulo, 2003. http://www.teses.usp.br/teses/disponiveis/18/18133/tde-14012005-153030/.

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Este trabalho apresenta um estudo sobre transformada Wavelet aplicada à qualidade da energia elétrica com o intuito de detectar, localizar e classificar eventuais distúrbios que ocorrem no sistema elétrico. Inicialmente é apresentada uma introdução sobre qualidade da energia, mostrando fatos, evoluções e explicando o conceito dos principais fenômenos que interferem na qualidade da energia do sistema elétrico brasileiro, devido, principalmente, à grande demanda de aparelhos eletrônicos produzidos atualmente. Em seguida é mostrada uma revisão dos principais métodos e modelos aplicados atualmente

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Filho, Odilon Delmont. "Um algoritmo para detecção, localização e classificação de distúrbios na qualidade da energia elétrica utilizando a transformada wavelet." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/18/18154/tde-15062007-074110/.

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A Qualidade da energia elétrica é caracterizada pela disponibilidade da energia através de uma forma de onda senoidal pura, sem alterações na amplitude e freqüência. No entanto situações transitórias em sistemas de potência são comuns e estas podem provocar inúmeras interferências indesejáveis. Neste contexto, este trabalho tem como objetivo desenvolver um algoritmo para detectar, localizar no tempo e classificar diversos distúrbios que ocorrem no sistema elétrico através da aplicação da transformada wavelet (TW). Foi realizado um estudo teórico desde a origem até os recentes avanços sobre a T

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Medeiros, Luiz Paulo de Souza. "Uma ferramenta para An?lise Multiresolu??o de dados n?o regularmente amostrados." Universidade Federal do Rio Grande do Norte, 2012. http://repositorio.ufrn.br:8080/jspui/handle/123456789/15420.

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Made available in DSpace on 2014-12-17T14:56:03Z (GMT). No. of bitstreams: 1 LuizPSM_DISSERT.pdf: 2597772 bytes, checksum: 2a89626ca2223935451ac8cbba3ad340 (MD5) Previous issue date: 2012-02-24<br>Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior<br>Digital signal processing (DSP) aims to extract specific information from digital signals. Digital signals are, by definition, physical quantities represented by a sequence of discrete values and from these sequences it is possible to extract and analyze the desired information. The unevenly sampled data can not be properly analyzed usi

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34

Sevi, Harry. "Analyse harmonique sur graphes dirigés et applications : de l'analyse de Fourier aux ondelettes." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSEN068/document.

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La recherche menée dans cette thèse a pour but de développer une analyse harmonique pour des fonctions définies sur les sommets d'un graphe orienté. À l'ère du déluge de données, de nombreuses données sont sous forme de graphes et données sur ce graphe. Afin d'analyser d'exploiter ces données de graphes, nous avons besoin de développer des méthodes mathématiques et numériquement efficientes. Ce développement a conduit à l'émergence d'un nouveau cadre théorique appelé le traitement de signal sur graphe dont le but est d'étendre les concepts fondamentaux du traitement de signal classique aux gra

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Fachrudin, Imam. "Traitement du signal ECG - approche par la transformation en ondelettes." Rouen, 1995. http://www.theses.fr/1995ROUES040.

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Les travaux présentés dans ce mémoire ont pour objectif d'évaluer l'efficacité de la transformation en ondelettes (TO) dans les opérations de traitement du signal ECG : l'analyse, la détection, le filtrage et la compression. L'analyse temps-fréquence par la TO permet de mettre en évidence les structures fréquentielles des composantes ECG : ses ondes, ses bruits et certains événements pathologiques. Les algorithmes de détection de complexes ECG sont élaborés à partir des propriétés du module et de la phase de la transformation. La relation de la TO avec l'analyse multirésolution et la découvert

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Maji, Suman Kumar. "Multiscale methods in signal processing for adaptive optics." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2013. http://tel.archives-ouvertes.fr/tel-00909085.

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In this thesis, we introduce a new approach to wavefront phase reconstruction in Adaptive Optics (AO) from the low-resolution gradient measurements provided by a wavefront sensor, using a non-linear approach derived from the Microcanonical Multiscale Formalism (MMF). MMF comes from established concepts in statistical physics, it is naturally suited to the study of multiscale properties of complex natural signals, mainly due to the precise numerical estimate of geometrically localized critical exponents, called the singularity exponents. These exponents quantify the degree of predictability, lo

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Trisiripisal, Phichet. "Image Approximation using Triangulation." Thesis, Virginia Tech, 2003. http://hdl.handle.net/10919/33337.

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An image is a set of quantized intensity values that are sampled at a finite set of sample points on a two-dimensional plane. Images are crucial to many application areas, such as computer graphics and pattern recognition, because they discretely represent the information that the human eyes interpret. This thesis considers the use of triangular meshes for approximating intensity images. With the help of the wavelet-based analysis, triangular meshes can be efficiently constructed to approximate the image data. In this thesis, this study will focus on local image enhancement and mesh simplifica

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Chetlur, Adithya Prashanth. "A Novel Framework to Determine Physiological Signals From Blood Flow Dynamics." Scholar Commons, 2018. https://scholarcommons.usf.edu/etd/7610.

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Centers for Disease Control and Prevention (CDC) estimate that more than 11.2 million people require critical and emergency care in the United States per year. Optimizing and improving patient morbidity and mortality outcomes are the primary objectives of monitoring in critical and emergency care. Patients in need of critical or emergency care in general are at a risk of single or multiple organ failures occurring due to a traumatic injury, a surgical event, or an underlying pathology that results in severe patient hemodynamic instability. Hence, continuous monitoring of fundamental cardiovas

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Jiménez, González Xavier. "Improvements in the registration of multimodal medical imaging : application to intensity inhomogeneity and partial volume corrections." Doctoral thesis, Universitat Politècnica de Catalunya, 2016. http://hdl.handle.net/10803/458881.

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Alignment or registration of medical images has a relevant role on clinical diagnostic and treatment decisions as well as in research settings. With the advent of new technologies for multimodal imaging, robust registration of functional and anatomical information is still a challenge, particular in small-animal imaging given the lesser structural content of certain anatomical parts, such as the brain, than in humans. Besides, patient-dependent and acquisition artefacts affecting the images information content further complicate registration, as is the case of intensity inhomogeneities (IIH) s

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Kottmann, Jakob Siegfried. "Coupled-Cluster in Real Space." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19357.

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In dieser Arbeit werden Algorithmen für die Berechnung elektronischer Korrelations- und Anregungsenergien mittels der Coupled-Cluster Methode auf adaptiven Gittern entwickelt und implementiert. Die jeweiligen Funktionen und Operatoren werden adaptiv durch Multiskalenanalyse dargestellt, was eine Basissatz unabängige Beschreibung mit kontrollierter numerischer Genauigkeit ermöglicht. Gleichungen für die Coupled-Cluster Methode werden in einem verallgemeinerten Rahmen, unabhängig von virtuellen Orbitalen und globalen Basissätzen, neu formuliert. Hierzu werden die amplitudengewichteten Anr

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Delcourt, Jonathan. "Un système intégré d'acquisition 3D multispectral : acquisition, codage et compression des données." Phd thesis, Université de Bourgogne, 2010. http://tel.archives-ouvertes.fr/tel-00578448.

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Nous avons développé un système intégré permettant l'acquisition simultanée de la forme 3D ainsi que de la réflectance des surfaces des objets scannés. Nous appelons ce système un scanner 3D multispectral du fait qu'il combine, dans un couple stéréoscopique, une caméra multispectrale et un système projecteur de lumière structurée. Nous voyons plusieurs possibilités d'application pour un tel système mais nous mettons en avant des applications dans le domaine de l'archivage et la diffusion numériques des objets du patrimoine. Dans le manuscrit, nous présentons d'abord ce système ainsi que tous l

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Pesquet-Popescu, Béatrice. "Modélisation bidimensionnelle de processus non stationnaires et application à l'étude du fond sous-marin." Cachan, Ecole normale supérieure, 1998. http://www.theses.fr/1998DENS0021.

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Dans cette thèse, nous proposons des généralisations anisotropes des champs 2D de type fractal. Tout d'abord, nous introduisons les champs 2D à accroissements stationnaires fractionnaires et nous montrons que le mouvement brownien fractionnaire appartient à cette classe de processus. L'intérêt d'une analyse multi résolution de ces champs est démontré théoriquement et sur un exemple d'application à la localisation sous-marine. Pour la modélisation de données, un moyen efficace pour caractériser les textures à accroissements stationnaires est fourni par la fonction de structure. Nous soulignons

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Wang, Kai-Cheng, and 王凱城. "Frame Wavelets and Frame Multiresolution Analysis." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/57711698493903810872.

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碩士<br>逢甲大學<br>應用數學所<br>92<br>In this paper first, we give a sufficient condition for FMRA in L^2(R^n).Secondly, we characterize the frame (tight frame) in a finitely generated shift invariant space. Finially, using the range function and Helson transform, we prove a necessary and sufficient condition for frame wavelet on FMRAs.

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Sheu, Wei-Gwo, and 許維國. "The Wavelet Based Multiresolution Analysis Applied to Image Processing." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/43574000156795011407.

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碩士<br>國立海洋大學<br>電機工程學系<br>84<br>This thesis initially introduces the application of multiresolutionanalysis of wavelet transform upon image signal, further, achieves our goalby using components of different resolutions, such as edge detection and imagecompression. In the second session, we will impose extrapolate algorithm onthe coefficient matrix of wavelet transform in order to cancel the boundaryeffect caused by circular convolution in the decomposition and reconstructionof digital image

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Xu, Wei-Guo, and 許維國. "The Wavelet Based Multiresolution Analysis Applied to Image Processing." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/75235839177365469867.

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Zheng, Zhi-Chong, and 鄭志崇. "Multiresolution Analysis of Long-Range Dependent Traffic with Haar Wavelet." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/35764880725766731741.

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碩士<br>國立清華大學<br>電機工程學研究所<br>86<br>We ppreset a multiresolution analysis of a covaariance-stationary process with long-range dependence by using the Haar wavelet. As an application, a VBR video traffic sequence. The correlation structure of these decomposed sequences is closely examined.

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Zhang, Yu-Si. "Multiresolution Analysis for Image by Generalized 2-D Wavelets." 2008. http://www.cetd.com.tw/ec/thesisdetail.aspx?etdun=U0001-1306200810005700.

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Zhang, Yu-Si, and 張育思. "Multiresolution Analysis for Image by Generalized 2-D Wavelets." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/72909076637480268712.

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碩士<br>國立臺灣大學<br>電信工程學研究所<br>96<br>The most important feature of the wavelet transform is that we can use few wavelet coefficients to approximate a signal. Because of this property, JPEG 2000 adopted the wavelet transform as a portion of its algorithm. However, the fundamental theory of this feature was derived from one-dimensional signals. For two-dimensional signals, we can use “separable wavelet transform” to extend one-dimensional wavelet transform into two-dimensional wavelet transform. Although this method was used widely, it ignored the geometric properties of the two-dimensional signal

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Wang, Yanwei. "Efficient Stockwell Transform with Applications to Image Processing." Thesis, 2011. http://hdl.handle.net/10012/5963.

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Multiresolution analysis (MRA) has fairly recently become important, and even essential, to image processing and signal analysis, and is thus having a growing impact on image and signal related areas. As one of the most famous family members of the MRA, the wavelet transform (WT) has demonstrated itself in numerous successful applications in various fields, and become one of the most powerful tools in the fields of image processing and signal analysis. Due to the fact that only the scale information is supplied in WT, the applications using the wavelet transform may be limited when the absolut

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Kai-an, Tang, and 湯凱安. "Color Image Registration, Fusion and Restoration with the Aid of Multiresolution Wavelet Analysis." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/99142528868158165995.

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碩士<br>國立臺灣科技大學<br>電子工程技術研究所<br>86<br>Image registration refers to the combining of two partially-overlapped images, which may be subject to rotation, translation, scaling, intensity and color changes, into one large image. In registering two images, feature points of two images are found first. The matching pairs are then obtained by comparing the two sets of features. However, for saving the computation time of finding the matching pairs, we apply the wavelet transform to perform a multi-resolution registration. An initial estimation of the matching parameters (rotation, translation and scali

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