Computational Complexity Of The Continuous Wavelet Transform In Two Dimensions
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Computational Complexity Of The Continuous Wavelet Transform In Two Dimensions
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Author :
language : en
Publisher:
Release Date : 1998
Computational Complexity Of The Continuous Wavelet Transform In Two Dimensions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
The two-dimensional continuous wavelet transform (CWT) is characterized by a rotation parameter, in addition to the usual translations and dilations. The CWT has been interpreted as space-frequency representation of two-dimensional signals, where the translation corresponds to the position variable, and the inverse of the scale and the rotation, taken together, correspond to the spatial-frequency variable. The integral of the CWT's squared modulus, with respect to all variables, gives the energy of the original signal. Therefore, an integration on a subset of the parameters gives an energy density in the remaining variables. This paper deals with the implementation of the two basic densities, that is, the position (or aspect-angle) and scale-angle densities.
Wavelet Transform And Complexity
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Author : Dumitru Baleanu
language : en
Publisher: BoD – Books on Demand
Release Date : 2019-11-06
Wavelet Transform And Complexity written by Dumitru Baleanu and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-06 with Mathematics categories.
Wavelet Transform and Complexity presents high-level content on the fascinating field of wavelet transform and its applications in real-world phenomena. Divided into two parts, Analysis and Real-World Applications, the book describes the application of the wavelet method to several interesting complex systems across various disciplines. The book is designed for students, postdocs, and researchers interested in studying the wavelet method and its applications.
The Illustrated Wavelet Transform Handbook
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Author : Paul S Addison
language : en
Publisher: CRC Press
Release Date : 2002-07-15
The Illustrated Wavelet Transform Handbook written by Paul S Addison and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-15 with Science categories.
The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance provides an overview of the theory and practical applications of wavelet transform methods. The author uses several hundred illustrations, some in color, to convey mathematical concepts and the results of applications. The first chapter presents a brief overview of the wavelet transform, including a short history. The remainder of the book is split into two parts: the first part discusses the mathematics of both discrete and continuous wavelet transforms while the second part deals with applications in a variety of subject areas, such as geophysics, medicine, fluid turbulence, engineering testing, speech and sound analysis, image analysis, and data compression. These application chapters make the reader aware of the similarities that exist in the use of wavelet transform analysis across disciplines. A comprehensive list of more than 700 references provides a valuable resource for further study. The book is designed specifically for the applied reader in science, engineering, medicine, finance, or any other of the growing number of application areas. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, providing a large number of examples of their use across a wide range of disciplines. Readers already acquainted with wavelets can use the book to broaden their perspective.
Two Dimensional Wavelets And Their Relatives
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Author : Jean-Pierre Antoine
language : en
Publisher: Cambridge University Press
Release Date : 2008-06-12
Two Dimensional Wavelets And Their Relatives written by Jean-Pierre Antoine and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-12 with Technology & Engineering categories.
Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular for analysis of real-time signals. This book provides thorough and comprehensive treatment of 2-D wavelets, with extensive use of practical applications and illustrative examples throughout. For engineers, physicists and mathematicians.
Translation And Rotation Invariant Multiscale Image Registration
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Author : Jennifer L. Manfra
language : en
Publisher:
Release Date : 2002
Translation And Rotation Invariant Multiscale Image Registration written by Jennifer L. Manfra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Algorithms categories.
The most recent research involved registering images in the presence of translations and rotations using one iteration of the redundant discrete wavelet transform. We extend this work by creating a new multiscale transform to register two images with translation or rotation differences, independent of scale differences between the images. Our two-dimensional multiscale transform uses an innovative combination of lowpass filtering and the continuous wavelet transform to mimic the two-dimensional redundant discrete wavelet transform. This allows us to obtain multiple subbands at various scales while maintaining the desirable properties of the redundant discrete wavelet transform. Whereas the discrete wavelet transform produces results only at dyadic scales, our new multiscale transform produces data at all integer scales. This added flexibility improves registration accuracy without greatly increasing computational complexity and permits accurate registration even in the presence of scale differences.
Wavelet Transforms
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Author : Firdous A. Shah
language : en
Publisher: CRC Press
Release Date : 2022-11-28
Wavelet Transforms written by Firdous A. Shah and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-28 with Mathematics categories.
Wavelet Transforms: Kith and Kin serves as an introduction to contemporary aspects of time-frequency analysis encompassing the theories of Fourier transforms, wavelet transforms and their respective offshoots. This book is the first of its kind totally devoted to the treatment of continuous signals and it systematically encompasses the theory of Fourier transforms, wavelet transforms, geometrical wavelet transforms and their ramifications. The authors intend to motivate and stimulate interest among mathematicians, computer scientists, engineers and physical, chemical and biological scientists. The text is written from the ground up with target readers being senior undergraduate and first-year graduate students and it can serve as a reference for professionals in mathematics, engineering and applied sciences. Features Flexibility in the book’s organization enables instructors to select chapters appropriate to courses of different lengths, emphasis and levels of difficulty Self-contained, the text provides an impetus to the contemporary developments in the signal processing aspects of wavelet theory at the forefront of research A large number of worked-out examples are included Every major concept is presented with explanations, limitations and subsequent developments, with emphasis on applications in science and engineering A wide range of exercises are incoporated in varying levels from elementary to challenging so readers may develop both manipulative skills in theory wavelets and deeper insight Answers and hints for selected exercises appear at the end The origin of the theory of wavelet transforms dates back to the 1980s as an outcome of the intriguing efforts of mathematicians, physicists and engineers. Owing to the lucid mathematical framework and versatile applicability, the theory of wavelet transforms is now a nucleus of shared aspirations and ideas.
Wavelets
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Author : Stephane Jaffard
language : en
Publisher: SIAM
Release Date : 2001-01-01
Wavelets written by Stephane Jaffard and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.
This long-awaited update of Meyer's Wavelets : algorithms and applications includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function), data compression, and wavelets in astronomy. The chapter on data compression was the original motivation for this revised edition, and it contains up-to-date information on the interplay between wavelets and nonlinear approximation. The other chapters have been rewritten with comments, references, historical notes, and new material. Four appendices have been added: a primer on filters, key results (with proofs) about the wavelet transform, a complete discussion of a counterexample to the Marr-Mallat conjecture on zero-crossings, and a brief introduction to Hölder and Besov spaces. In addition, all of the figures have been redrawn, and the references have been expanded to a comprehensive list of over 260 entries. The book includes several new results that have not appeared elsewhere.
Nonlinear Science And Complexity Proceedings Of The Conference
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Author : Albert C J Luo
language : en
Publisher: World Scientific
Release Date : 2006-12-09
Nonlinear Science And Complexity Proceedings Of The Conference written by Albert C J Luo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-09 with Science categories.
This volume provides useful tools in Lie group analysis to solve nonlinear partial differential equations. Many of important issues in nonlinear wave dynamics and nonlinear fluid mechanics are presented: Homotopy techniques are used to obtain analytical solutions; fundamental problems and theories in classic and quantum dynamical systems are discussed; and numerous interesting results about dynamics and vibration in sensor and smart systems are presented. Interval computation and nonlinear modeling in dynamics and control are also briefly included.
The 1st International Conference On Advanced Intelligent System And Informatics Aisi2015 November 28 30 2015 Beni Suef Egypt
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Author : Tarek Gaber
language : en
Publisher: Springer
Release Date : 2015-11-09
The 1st International Conference On Advanced Intelligent System And Informatics Aisi2015 November 28 30 2015 Beni Suef Egypt written by Tarek Gaber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-09 with Computers categories.
The conference topics address different theoretical and practical aspects, and implementing solutions for intelligent systems and informatics disciplines including bioinformatics, computer science, medical informatics, biology, social studies, as well as robotics research. The conference also discuss and present solutions to the cloud computing and big data mining which are considered hot research topics. The conference papers discussed different topics – techniques, models, methods, architectures, as well as multi aspect, domain-specific, and new solutions for the above disciplines. The accepted papers have been grouped into five parts: Part I—Intelligent Systems and Informatics, addressing topics including, but not limited to, medical application, predicting student performance, action classification, and detection of dead stained microscopic cells, optical character recognition, plant identification, rehabilitation of disabled people. Part II—Hybrid Intelligent Systems, addressing topics including, but not limited to, EMG signals, text classification, geomagnetic inverse problem, email filtering. Part III—Multimedia Computing and Social Networks, addressing topics including, but not limited to, augmented reality, telepresence robot, video flash matting, community detection, quality images, face thermal image extraction, MRI tumor segmentation. Part V—Cloud Computing and Big Data Mining, discussing topics including, but not limited to, mining on microblogs, query optimization, big data classification, access control, friendsourcing, and assistive technology. Part VI—Swarm Optimization and Its Applications, addressing topics including, but not limited to, solving set covering problem, adaptive PSO for CT liver segmentation, water quality assessment, attribute reduction, fish detection, solving manufacturing cell design problem.
Two Dimensional Wavelets And Their Relatives
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Author :
language : en
Publisher:
Release Date : 2004
Two Dimensional Wavelets And Their Relatives written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Electronic books categories.
Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular for analysis of real-time signals. This book provides thorough and comprehensive treatment of 2-D wavelets, with extensive use of practical applications and illustrative examples throughout. For engineers, physicists and mathematicians.