Multiscale Analysis Modeling And Processing Of Higher Dimensional Geometric Data PDF Download
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| Author | : |
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| Total Pages | : 15 |
| Release | : 2007 |
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Download Multiscale Analysis, Modeling, and Processing of Higher-Dimensional Geometric Data Book in PDF, ePub and Kindle
The wavelet transform has emerged over the last decade as a powerful new tool for statistical signal processing. The wavelet domain provides a natural setting for many applications involving real-world signals and images, especially those rich in singularities (edges, ridges, and other transients). In this project, we extended wavelet transform modeling and processing algorithms to handle multidimensional signals that are smooth save for singularities along lower-dimensional manifolds. The key building block is a new quaternion wavelet transform (QWT) that generalizes the complex wavelet transform to higher dimensions using a multidimensional Hilbert transform. The QWT has a quaternion magnitude-phase representation that encodes image shifts in an absolute (x, y)-coordinate system and thus provides a theoretical framework for analyzing the phase behavior of 2-D image shifts. We conducted a thorough analysis of the QWT phase around edge regions and thereby developed efficient multiscale edge localization and flow/motion estimation algorithms for image registration based on the QWT phase.
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| Total Pages | : 28 |
| Release | : 2010 |
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Download Higher-Dimensional Signal Processing Via Multiscale Geometric Analysis Book in PDF, ePub and Kindle
This project pursued a general theory for complex-valued multiscale signal and image modeling, processing, and analysis that is matched to singularity-rich data. Higher-dimensional signals that feature geometric manifold structures were of particular interest in developing theory and a practical toolset for analysis and processing. We pursued a three-pronged approach in creating new multiscale transforms, new geometric statistical models, and new manifold-based signal representations. The results of our research include (1) the Dual Tree Quaternion Wavelet, an efficient transform and analysis tool that features near shift invariance and linear computational complexity; (2) a geometric hidden Markov tree wavelet model, which accounts for geometric regularity by capturing the dependencies between complex wavelet coefficients along a contour; and (3) surflet representations of signal discontinuities with near optimal rate-distortion performance. These new tools have led to significant performance gains immediately applicable to a number of important Navy-relevant applications, including target detection and classification, image segmentation and fusion, and computer network traffic modeling.
| Author | : Misha Meyer Pesenson |
| Publisher | : John Wiley & Sons |
| Total Pages | : 307 |
| Release | : 2013-09-13 |
| Genre | : Science |
| ISBN | : 352767165X |
Download Multiscale Analysis and Nonlinear Dynamics Book in PDF, ePub and Kindle
Since modeling multiscale phenomena in systems biology and neuroscience is a highly interdisciplinary task, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience, computer science, and applied mathematics, to provide their perspectives. Each chapter is a window into the current state of the art in the areas of research discussed and the book is intended for advanced researchers interested in recent developments in these fields. While multiscale analysis is the major integrating theme of the book, its subtitle does not call for bridging the scales from genes to behavior, but rather stresses the unifying perspective offered by the concepts referred to in the title. It is believed that the interdisciplinary approach adopted here will be beneficial for all the above mentioned fields.
| Author | : Jonathan Cohen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 345 |
| Release | : 2011-03-01 |
| Genre | : Mathematics |
| ISBN | : 0817680950 |
Download Wavelets and Multiscale Analysis Book in PDF, ePub and Kindle
Since its emergence as an important research area in the early 1980s, the topic of wavelets has undergone tremendous development on both theoretical and applied fronts. Myriad research and survey papers and monographs have been published on the subject, documenting different areas of applications such as sound and image processing, denoising, data compression, tomography, and medical imaging. The study of wavelets remains a very active field of research, and many of its central techniques and ideas have evolved into new and promising research areas. This volume, a collection of invited contributions developed from talks at an international conference on wavelets, is divided into three parts: Part I is devoted to the mathematical theory of wavelets and features several papers on wavelet sets and the construction of wavelet bases in different settings. Part II looks at the use of multiscale harmonic analysis for understanding the geometry of large data sets and extracting information from them. Part III focuses on applications of wavelet theory to the study of several real-world problems. Overall, the book is an excellent reference for graduate students, researchers, and practitioners in theoretical and applied mathematics, or in engineering.
| Author | : Lakhmi C. Jain |
| Publisher | : Springer Nature |
| Total Pages | : 341 |
| Release | : 2021-10-01 |
| Genre | : Technology & Engineering |
| ISBN | : 9811633916 |
Download 3D Imaging Technologies—Multi-dimensional Signal Processing and Deep Learning Book in PDF, ePub and Kindle
This book presents high-quality research in the field of 3D imaging technology. The second edition of International Conference on 3D Imaging Technology (3DDIT-MSP&DL) continues the good traditions already established by the first 3DIT conference (IC3DIT2019) to provide a wide scientific forum for researchers, academia and practitioners to exchange newest ideas and recent achievements in all aspects of image processing and analysis, together with their contemporary applications. The conference proceedings are published in 2 volumes. The main topics of the papers comprise famous trends as: 3D image representation, 3D image technology, 3D images and graphics, and computing and 3D information technology. In these proceedings, special attention is paid at the 3D tensor image representation, the 3D content generation technologies, big data analysis, and also deep learning, artificial intelligence, the 3D image analysis and video understanding, the 3D virtual and augmented reality, and many related areas. The first volume contains papers in 3D image processing, transforms and technologies. The second volume is about computing and information technologies, computer images and graphics and related applications. The two volumes of the book cover a wide area of the aspects of the contemporary multidimensional imaging and the related future trends from data acquisition to real-world applications based on various techniques and theoretical approaches.
| Author | : Weinan E |
| Publisher | : Cambridge University Press |
| Total Pages | : 485 |
| Release | : 2011-07-07 |
| Genre | : Mathematics |
| ISBN | : 1107096545 |
Download Principles of Multiscale Modeling Book in PDF, ePub and Kindle
A systematic discussion of the fundamental principles, written by a leading contributor to the field.
| Author | : Ofer Levi |
| Publisher | : |
| Total Pages | : 104 |
| Release | : 2004 |
| Genre | : |
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Download Multiscale Geometric Analysis of Three-dimensional Data Book in PDF, ePub and Kindle
| Author | : Roderick Melnik |
| Publisher | : John Wiley & Sons |
| Total Pages | : 321 |
| Release | : 2015-05-18 |
| Genre | : Mathematics |
| ISBN | : 1118853989 |
Download Mathematical and Computational Modeling Book in PDF, ePub and Kindle
Mathematical and Computational Modeling Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-theart achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. The book also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, and industrial and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization.
| Author | : Rauno Kuusisto |
| Publisher | : Academic Conferences Limited |
| Total Pages | : 425 |
| Release | : 2013-11-07 |
| Genre | : Computers |
| ISBN | : 1909507342 |
Download Proceedings of the 12th European Conference on Information Warfare and Security Book in PDF, ePub and Kindle
| Author | : Bart M. Haar Romeny |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 470 |
| Release | : 2008-10-24 |
| Genre | : Computers |
| ISBN | : 140208840X |
Download Front-End Vision and Multi-Scale Image Analysis Book in PDF, ePub and Kindle
Many approaches have been proposed to solve the problem of finding the optic flow field of an image sequence. Three major classes of optic flow computation techniques can discriminated (see for a good overview Beauchemin and Barron IBeauchemin19951): gradient based (or differential) methods; phase based (or frequency domain) methods; correlation based (or area) methods; feature point (or sparse data) tracking methods; In this chapter we compute the optic flow as a dense optic flow field with a multi scale differential method. The method, originally proposed by Florack and Nielsen [Florack1998a] is known as the Multiscale Optic Flow Constrain Equation (MOFCE). This is a scale space version of the well known computer vision implementation of the optic flow constraint equation, as originally proposed by Horn and Schunck [Horn1981]. This scale space variation, as usual, consists of the introduction of the aperture of the observation in the process. The application to stereo has been described by Maas et al. [Maas 1995a, Maas 1996a]. Of course, difficulties arise when structure emerges or disappears, such as with occlusion, cloud formation etc. Then knowledge is needed about the processes and objects involved. In this chapter we focus on the scale space approach to the local measurement of optic flow, as we may expect the visual front end to do. 17. 2 Motion detection with pairs of receptive fields As a biologically motivated start, we begin with discussing some neurophysiological findings in the visual system with respect to motion detection.
