Author: Minh N. Do
Publisher: Foundations and Trends(r) in S
ISBN: 9781601985842
Category : Computers
Languages : en
Pages : 124
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Book Description
Starting from basic concepts such as multidimensional filtering and nonseparable sampling, Multidimensional Filter Banks and Multiscale Geometric Representations presents a systematic overview of the common notation, key tools, and main results in the characterization and design of multidimensional filter banks.
Author: Eric Dubois
Publisher: John Wiley & Sons
ISBN: 1119111757
Category : Technology & Engineering
Languages : en
Pages : 352
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Book Description
An Innovative Approach to Multidimensional Signals and Systems Theory for Image and Video Processing In this volume, Eric Dubois further develops the theory of multi-D signal processing wherein input and output are vector-value signals. With this framework, he introduces the reader to crucial concepts in signal processing such as continuous- and discrete-domain signals and systems, discrete-domain periodic signals, sampling and reconstruction, light and color, random field models, image representation and more. While most treatments use normalized representations for non-rectangular sampling, this approach obscures much of the geometrical and scale information of the signal. In contrast, Dr. Dubois uses actual units of space-time and frequency. Basis-independent representations appear as much as possible, and the basis is introduced where needed to perform calculations or implementations. Thus, lattice theory is developed from the beginning and rectangular sampling is treated as a special case. This is especially significant in the treatment of color and color image processing and for discrete transform representations based on symmetry groups, including fast computational algorithms. Other features include: An entire chapter on lattices, giving the reader a thorough grounding in the use of lattices in signal processing Extensive treatment of lattices as used to describe discrete-domain signals and signal periodicities Chapters on sampling and reconstruction, random field models, symmetry invariant signals and systems and multidimensional Fourier transformation properties Supplemented throughout with MATLAB examples and accompanying downloadable source code Graduate and doctoral students as well as senior undergraduates and professionals working in signal processing or video/image processing and imaging will appreciate this fresh approach to multidimensional signals and systems theory, both as a thorough introduction to the subject and as inspiration for future research.
Author: Ljubiša Stanković
Publisher: Springer
ISBN: 3030035743
Category : Technology & Engineering
Languages : en
Pages : 507
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Book Description
This book introduces new methods to analyze vertex-varying graph signals. In many real-world scenarios, the data sensing domain is not a regular grid, but a more complex network that consists of sensing points (vertices) and edges (relating the sensing points). Furthermore, sensing geometry or signal properties define the relation among sensed signal points. Even for the data sensed in the well-defined time or space domain, the introduction of new relationships among the sensing points may produce new insights in the analysis and result in more advanced data processing techniques. The data domain, in these cases and discussed in this book, is defined by a graph. Graphs exploit the fundamental relations among the data points. Processing of signals whose sensing domains are defined by graphs resulted in graph data processing as an emerging field in signal processing. Although signal processing techniques for the analysis of time-varying signals are well established, the corresponding graph signal processing equivalent approaches are still in their infancy. This book presents novel approaches to analyze vertex-varying graph signals. The vertex-frequency analysis methods use the Laplacian or adjacency matrix to establish connections between vertex and spectral (frequency) domain in order to analyze local signal behavior where edge connections are used for graph signal localization. The book applies combined concepts from time-frequency and wavelet analyses of classical signal processing to the analysis of graph signals. Covering analytical tools for vertex-varying applications, this book is of interest to researchers and practitioners in engineering, science, neuroscience, genome processing, just to name a few. It is also a valuable resource for postgraduate students and researchers looking to expand their knowledge of the vertex-frequency analysis theory and its applications. The book consists of 15 chapters contributed by 41 leading researches in the field.
Author: Jose Maria Giron-Sierra
Publisher: Springer
ISBN: 9811025371
Category : Technology & Engineering
Languages : en
Pages : 944
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Book Description
This is the second volume in a trilogy on modern Signal Processing. The three books provide a concise exposition of signal processing topics, and a guide to support individual practical exploration based on MATLAB programs. This second book focuses on recent developments in response to the demands of new digital technologies. It is divided into two parts: the first part includes four chapters on the decomposition and recovery of signals, with special emphasis on images. In turn, the second part includes three chapters and addresses important data-based actions, such as adaptive filtering, experimental modeling, and classification.
Author: Sankar Basu
Publisher: Springer Science & Business Media
ISBN: 9780792397571
Category : Technology & Engineering
Languages : en
Pages : 164
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Book Description
Multidimensional Filter Banks and Wavelets: Basic Theory and Cosine Modulated Filter Banks brings together in one place important contributions and up-to-date reserach results in this important area. Multidimensional Filter Banks and Wavelets: Basic Theory and Cosine Modulated Filter Banks serves as an excellent reference, providing insight into some of the most important research issues in the field.
Author: Sankar Basu
Publisher: Springer Science & Business Media
ISBN: 1475759223
Category : Science
Languages : en
Pages : 235
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Book Description
Multidimensional Filter Banks and Wavelets: Reserach Developments and Applications brings together in one place important contributions and up-to-date research results in this important area. Multidimensional Filter Banks and Wavelets: Research Developments and Applications serves as an excellent reference, providing insight into some of the most important research issues in the field.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 1002
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Book Description
This sixth volume of Collected Papers includes 74 papers comprising 974 pages on (theoretic and applied) neutrosophics, written between 2015-2021 by the author alone or in collaboration with the following 121 co-authors from 19 countries: Mohamed Abdel-Basset, Abdel Nasser H. Zaied, Abduallah Gamal, Amir Abdullah, Firoz Ahmad, Nadeem Ahmad, Ahmad Yusuf Adhami, Ahmed Aboelfetouh, Ahmed Mostafa Khalil, Shariful Alam, W. Alharbi, Ali Hassan, Mumtaz Ali, Amira S. Ashour, Asmaa Atef, Assia Bakali, Ayoub Bahnasse, A. A. Azzam, Willem K.M. Brauers, Bui Cong Cuong, Fausto Cavallaro, Ahmet Çevik, Robby I. Chandra, Kalaivani Chandran, Victor Chang, Chang Su Kim, Jyotir Moy Chatterjee, Victor Christianto, Chunxin Bo, Mihaela Colhon, Shyamal Dalapati, Arindam Dey, Dunqian Cao, Fahad Alsharari, Faruk Karaaslan, Aleksandra Fedajev, Daniela Gîfu, Hina Gulzar, Haitham A. El-Ghareeb, Masooma Raza Hashmi, Hewayda El-Ghawalby, Hoang Viet Long, Le Hoang Son, F. Nirmala Irudayam, Branislav Ivanov, S. Jafari, Jeong Gon Lee, Milena Jevtić, Sudan Jha, Junhui Kim, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Darjan Karabašević, Songül Karabatak, Abdullah Kargın, M. Karthika, Ieva Meidute-Kavaliauskiene, Madad Khan, Majid Khan, Manju Khari, Kifayat Ullah, K. Kishore, Kul Hur, Santanu Kumar Patro, Prem Kumar Singh, Raghvendra Kumar, Tapan Kumar Roy, Malayalan Lathamaheswari, Luu Quoc Dat, T. Madhumathi, Tahir Mahmood, Mladjan Maksimovic, Gunasekaran Manogaran, Nivetha Martin, M. Kasi Mayan, Mai Mohamed, Mohamed Talea, Muhammad Akram, Muhammad Gulistan, Raja Muhammad Hashim, Muhammad Riaz, Muhammad Saeed, Rana Muhammad Zulqarnain, Nada A. Nabeeh, Deivanayagampillai Nagarajan, Xenia Negrea, Nguyen Xuan Thao, Jagan M. Obbineni, Angelo de Oliveira, M. Parimala, Gabrijela Popovic, Ishaani Priyadarshini, Yaser Saber, Mehmet Șahin, Said Broumi, A. A. Salama, M. Saleh, Ganeshsree Selvachandran, Dönüș Șengür, Shio Gai Quek, Songtao Shao, Dragiša Stanujkić, Surapati Pramanik, Swathi Sundari Sundaramoorthy, Mirela Teodorescu, Selçuk Topal, Muhammed Turhan, Alptekin Ulutaș, Luige Vlădăreanu, Victor Vlădăreanu, Ştefan Vlăduţescu, Dan Valeriu Voinea, Volkan Duran, Navneet Yadav, Yanhui Guo, Naveed Yaqoob, Yongquan Zhou, Young Bae Jun, Xiaohong Zhang, Xiao Long Xin, Edmundas Kazimieras Zavadskas.
Author: Truong T. Nguyen
Publisher: ProQuest
ISBN: 9780542863318
Category : Computer science
Languages : en
Pages :
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Book Description
Multiscale and multidirectional are desirable properties for image decomposition. A multiresolution discrete transform represent image data in a hierarchical manner, each added level contributes to a finer representation of the image. The motivations for the thesis to develop multidirectional transforms are two fold. Natural images typically contain many geometrical features, such as edges and textures, and it is believed that directional bases would better represent those features. On the other hand, research in human visual system shows that directional information plays an important role in visual perception. Therefore, the transformation of image into directional representations should be the first step in the extraction and understanding of visual information. The thesis presents the theory and implementation of several multiscale and multidirectional transforms. First, based on the frequency supports of a multiresolution and multidirection orthogonal transform for two-dimensional discrete signals, a new uniformly, maximally decimated Directional Filter Bank (DFB) with six highpass directional subbands and two lowpass subbands is introduced. The uniform DFB (uDFB) can be implemented by a binary tree structure of two-channel filter banks. The uDFB is then extended to a non-uniform case (nuDFB), which is still maximally decimated, by combining the two lowpass subbands. The new DFBs offer alternative image decompositions, which overcome the limited directional selectivity of the separable wavelets and the limited multiresolution of the conventional DFB. The uDFB is then generalized to a family of multiresolution DFBs. Careful investigation proves that DFBs belong to the class do not have permissibility, except one special case, which is called the quincunx uDFB. This special filter bank has many attractive properties, such as orientation selectivity, multiresolution capability, fast implementation and good filter designs. An image transform implemented by a critically sampled filter bank may not be suitable for image analysis tasks, because the representation is not stable when the input signals are shifted. This thesis presents a shift-invariant complex directional pyramid transform, which is implemented by a pyramidal dual-tree directional filter banks structure. The double filter bank framework consists of a shift-invariant Laplacian pyramid and a dual-tree DFB. It is proven analytically and experimentally that the two corresponding directional filters produced by the primal and dual filter banks are symmetric and anti-symmetric, and they are the real and imaginary parts of a complex filter. Besides other advantages, the novel shift-invariant, multiscale, multidirectional image decomposition has two unique characteristics that other shift-invariant decompositions do not possess. First, the directional resolution of the image transform is not fixed, and the number of directional subbands can be arbitrarily high. Secondly, the two-dimensional filter bank is implemented in a separable fashion, which makes the entire structure very computational efficient. Various design and implementation issues are also discussed. Several issues related to the realization of the two-dimensional filter banks associated with the proposed transforms in the thesis are also discussed, and a number of new findings and results are described. In particular, the thesis presents a novel algorithm to design two-dimensional filter banks and an efficient structure to implement undecimated DFB. Finally, promising results of the new filter banks in image coding, texture image classification and retrieval are demonstrated.
Author: Minh N. Do
Author: Florentin Smarandache
Author: Sankar Basu