Local Features In Natural Images Via Singularity Theory

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Local Features in Natural Images via Singularity Theory

Author : James Damon
Publisher : Springer
ISBN 13 : 3319414712
Total Pages : 255 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Local Features in Natural Images via Singularity Theory by : James Damon

Download or read book Local Features in Natural Images via Singularity Theory written by James Damon and published by Springer. This book was released on 2016-09-30 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers a basic problem in the computer analysis of natural images, which are images of scenes involving multiple objects that are obtained by a camera lens or a viewer’s eye. The goal is to detect geometric features of objects in the image and to separate regions of the objects with distinct visual properties. When the scene is illuminated by a single principal light source, we further include the visual clues resulting from the interaction of the geometric features of objects, the shade/shadow regions on the objects, and the “apparent contours”. We do so by a mathematical analysis using a repertoire of methods in singularity theory. This is applied for generic light directions of both the “stable configurations” for these interactions, whose features remain unchanged under small viewer movement, and the generic changes which occur under changes of view directions. These may then be used to differentiate between objects and determine their shapes and positions.

Singularities of Mappings

Author : David Mond
Publisher : Springer Nature
ISBN 13 : 3030344401
Total Pages : 572 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Singularities of Mappings by : David Mond

Download or read book Singularities of Mappings written by David Mond and published by Springer Nature. This book was released on 2020-01-23 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C∞ and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic. By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.

Handbook of Geometry and Topology of Singularities I

Author : José Luis Cisneros Molina
Publisher : Springer Nature
ISBN 13 : 3030530612
Total Pages : 616 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Handbook of Geometry and Topology of Singularities I by : José Luis Cisneros Molina

Download or read book Handbook of Geometry and Topology of Singularities I written by José Luis Cisneros Molina and published by Springer Nature. This book was released on 2020-10-24 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject. This is the first volume in a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

Differential Geometry Of Curves And Surfaces With Singularities

Author : Masaaki Umehara
Publisher : World Scientific
ISBN 13 : 9811237158
Total Pages : 387 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Differential Geometry Of Curves And Surfaces With Singularities by : Masaaki Umehara

Download or read book Differential Geometry Of Curves And Surfaces With Singularities written by Masaaki Umehara and published by World Scientific. This book was released on 2021-11-29 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces. It is written by three leading experts on the interplay between two important fields — singularity theory and differential geometry.The book introduces singularities and their recognition theorems, and describes their applications to geometry and topology, restricting the objects of attention to singularities of plane curves and surfaces in the Euclidean 3-space. In particular, by presenting the singular curvature, which originated through research by the authors, the Gauss-Bonnet theorem for surfaces is generalized to those with singularities. The Gauss-Bonnet theorem is intrinsic in nature, that is, it is a theorem not only for surfaces but also for 2-dimensional Riemannian manifolds. The book also elucidates the notion of Riemannian manifolds with singularities.These topics, as well as elementary descriptions of proofs of the recognition theorems, cannot be found in other books. Explicit examples and models are provided in abundance, along with insightful explanations of the underlying theory as well. Numerous figures and exercise problems are given, becoming strong aids in developing an understanding of the material.Readers will gain from this text a unique introduction to the singularities of curves and surfaces from the viewpoint of differential geometry, and it will be a useful guide for students and researchers interested in this subject.

Harmonic and Applied Analysis

Author : Stephan Dahlke
Publisher : Birkhäuser
ISBN 13 : 3319188631
Total Pages : 268 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Harmonic and Applied Analysis by : Stephan Dahlke

Download or read book Harmonic and Applied Analysis written by Stephan Dahlke and published by Birkhäuser. This book was released on 2015-09-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics. This intertwining of ideas is considered starting from the theory of unitary group representations and leading to the construction of very efficient schemes for the analysis of multidimensional data. After an introductory chapter surveying the scientific significance of classical and more advanced multiscale methods, chapters cover such topics as An overview of Lie theory focused on common applications in signal analysis, including the wavelet representation of the affine group, the Schrödinger representation of the Heisenberg group, and the metaplectic representation of the symplectic group An introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spaces Microlocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional data Mathematical techniques to construct optimal data representations for a number of signal types, with a focus on the optimal approximation of functions governed by anisotropic singularities. A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented. Harmonic and Applied Analysis: From Groups to Signals is aimed at graduate students and researchers in the areas of harmonic analysis and applied mathematics, as well as at other applied scientists interested in representations of multidimensional data. It can also be used as a textbook for graduate courses in applied harmonic analysis.

Wavelet Methods in Mathematical Analysis and Engineering

Author : Alain Damlamian
Publisher : World Scientific
ISBN 13 : 9814322865
Total Pages : 190 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Wavelet Methods in Mathematical Analysis and Engineering by : Alain Damlamian

Download or read book Wavelet Methods in Mathematical Analysis and Engineering written by Alain Damlamian and published by World Scientific. This book was released on 2010 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive overview of both the fundamentals of wavelet analysis and related tools, and of the most active recent developments towards applications. It offers a state-of-the-art in several active areas of research where wavelet ideas, or more generally multiresolution ideas have proved particularly effective. The main applications covered are in the numerical analysis of PDEs, and signal and image processing. Recently introduced techniques such as Empirical Mode Decomposition (EMD) and new trends in the recovery of missing data, such as compressed sensing, are also presented. Applications range for the reconstruction of noisy or blurred images, pattern and face recognition, to nonlinear approximation in strongly anisotropic contexts, and to the classification tools based on multifractal analysis.

Proceedings of the 5th International Conference on Frontiers in Intelligent Computing: Theory and Applications

Author : Suresh Chandra Satapathy
Publisher : Springer
ISBN 13 : 9811031533
Total Pages : 779 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Proceedings of the 5th International Conference on Frontiers in Intelligent Computing: Theory and Applications by : Suresh Chandra Satapathy

Download or read book Proceedings of the 5th International Conference on Frontiers in Intelligent Computing: Theory and Applications written by Suresh Chandra Satapathy and published by Springer. This book was released on 2017-03-15 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of high-quality peer-reviewed research papers presented at International Conference on Frontiers of Intelligent Computing: Theory and applications (FICTA 2016) held at School of Computer Engineering, KIIT University, Bhubaneswar, India during 16 – 17 September 2016. The book presents theories, methodologies, new ideas, experiences and applications in all areas of intelligent computing and its applications to various engineering disciplines like computer science, electronics, electrical and mechanical engineering.

Progress in Pattern Recognition, Image Analysis and Applications

Author : José Francisco Martínez-Trinidad
Publisher : Springer Science & Business Media
ISBN 13 : 3540465561
Total Pages : 1014 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Progress in Pattern Recognition, Image Analysis and Applications by : José Francisco Martínez-Trinidad

Download or read book Progress in Pattern Recognition, Image Analysis and Applications written by José Francisco Martínez-Trinidad and published by Springer Science & Business Media. This book was released on 2006-10-12 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th Iberoamerican Congress on Pattern Recognition, CIARP 2006, held in Cancun, Mexico in November 2006. The 99 revised full papers presented together with three keynote articles were carefully reviewed and selected from 239 submissions. The papers cover ongoing research and mathematical methods.

Despeckling Methods for Medical Ultrasound Images

Author : Ju Zhang
Publisher : Springer Nature
ISBN 13 : 9811505160
Total Pages : 154 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Despeckling Methods for Medical Ultrasound Images by : Ju Zhang

Download or read book Despeckling Methods for Medical Ultrasound Images written by Ju Zhang and published by Springer Nature. This book was released on 2019-10-16 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based upon the research they have conducted over the past decade in the field of denoising processes for medical ultrasonic imaging, in this book, the authors systematically present despeckling methods for medical ultrasonic images. Firstly, the respective methods are reviewed and divided into five categories. Secondly, after introducing some basic mathematical tools such as wavelet and shearlet transforms, the authors highlight five recently developed despeckling methods for medical ultrasonic images. In turn, simulations and experiments for clinical ultrasonic images are presented for each method, and comparison studies with other well-known existing methods are conducted, showing the effectiveness and superiority of the new methods. Students and researchers in the field of signal and image processing, as well as medical professionals whose work involves ultrasonic diagnosis, will greatly benefit from this book. Familiarizing them with the state of the art in despeckling methods for medical ultrasonic images, it offers a useful reference guide for their study and research work.

Advances in Neural Networks - ISNN 2008

Author : Fuchun Sun
Publisher : Springer Science & Business Media
ISBN 13 : 3540877339
Total Pages : 876 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Advances in Neural Networks - ISNN 2008 by : Fuchun Sun

Download or read book Advances in Neural Networks - ISNN 2008 written by Fuchun Sun and published by Springer Science & Business Media. This book was released on 2008-09-08 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Bayreuth University, Germany), Jennie Si (Arizona State University, USA), and Hang Li (MicrosoftResearchAsia, China). Besides the regularsessions andpanels, ISNN 2008 also featured four special sessions focusing on some emerging topics.

14th Chaotic Modeling and Simulation International Conference

Author : Christos H. Skiadas
Publisher : Springer Nature
ISBN 13 : 3030969649
Total Pages : 560 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis 14th Chaotic Modeling and Simulation International Conference by : Christos H. Skiadas

Download or read book 14th Chaotic Modeling and Simulation International Conference written by Christos H. Skiadas and published by Springer Nature. This book was released on 2022-06-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathering the proceedings of the 14th CHAOS2021 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies. Chapter "On the Origin of the Universe: Chaos or Cosmos" is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com

Theory & Applications of Image Analysis

Author : P. Johansen
Publisher : World Scientific
ISBN 13 : 9789810209452
Total Pages : 368 pages
Book Rating : 4.2/5 (94 download)

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Book Synopsis Theory & Applications of Image Analysis by : P. Johansen

Download or read book Theory & Applications of Image Analysis written by P. Johansen and published by World Scientific. This book was released on 1992 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 31 papers carefully selected from among those presented at the 7th Scandinavian Conference on Image Analysis. The authors have extended their papers to give a more in-depth discussion of the theory, or of the experimental validation of the method they have proposed. The topics covered are current and wide-ranging and include both 2D- and 3D-vision, and low to high level vision.

Handbook of Medical Imaging

Author :
Publisher : Academic Press
ISBN 13 : 0080533108
Total Pages : 983 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Medical Imaging by :

Download or read book Handbook of Medical Imaging written by and published by Academic Press. This book was released on 2000-10-09 with total page 983 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the remarkable advances in medical imaging instruments have increased their use considerably for diagnostics as well as planning and follow-up of treatment. Emerging from the fields of radiology, medical physics and engineering, medical imaging no longer simply deals with the technology and interpretation of radiographic images. The limitless possibilities presented by computer science and technology, coupled with engineering advances in signal processing, optics and nuclear medicine have created the vastly expanded field of medical imaging. The Handbook of Medical Imaging is the first comprehensive compilation of the concepts and techniques used to analyze and manipulate medical images after they have been generated or digitized. The Handbook is organized in six sections that relate to the main functions needed for processing: enhancement, segmentation, quantification, registration, visualization as well as compression storage and telemedicine. * Internationally renowned authors(Johns Hopkins, Harvard, UCLA, Yale, Columbia, UCSF) * Includes imaging and visualization * Contains over 60 pages of stunning, four-color images

Handbook of Medical Image Processing and Analysis

Author : Isaac Bankman
Publisher : Elsevier
ISBN 13 : 008055914X
Total Pages : 1009 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Medical Image Processing and Analysis by : Isaac Bankman

Download or read book Handbook of Medical Image Processing and Analysis written by Isaac Bankman and published by Elsevier. This book was released on 2008-12-24 with total page 1009 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Medical Image Processing and Analysis is a comprehensive compilation of concepts and techniques used for processing and analyzing medical images after they have been generated or digitized. The Handbook is organized into six sections that relate to the main functions: enhancement, segmentation, quantification, registration, visualization, and compression, storage and communication.The second edition is extensively revised and updated throughout, reflecting new technology and research, and includes new chapters on: higher order statistics for tissue segmentation; tumor growth modeling in oncological image analysis; analysis of cell nuclear features in fluorescence microscopy images; imaging and communication in medical and public health informatics; and dynamic mammogram retrieval from web-based image libraries.For those looking to explore advanced concepts and access essential information, this second edition of Handbook of Medical Image Processing and Analysis is an invaluable resource. It remains the most complete single volume reference for biomedical engineers, researchers, professionals and those working in medical imaging and medical image processing.Dr. Isaac N. Bankman is the supervisor of a group that specializes on imaging, laser and sensor systems, modeling, algorithms and testing at the Johns Hopkins University Applied Physics Laboratory. He received his BSc degree in Electrical Engineering from Bogazici University, Turkey, in 1977, the MSc degree in Electronics from University of Wales, Britain, in 1979, and a PhD in Biomedical Engineering from the Israel Institute of Technology, Israel, in 1985. He is a member of SPIE. - Includes contributions from internationally renowned authors from leading institutions - NEW! 35 of 56 chapters have been revised and updated. Additionally, five new chapters have been added on important topics incluling Nonlinear 3D Boundary Detection, Adaptive Algorithms for Cancer Cytological Diagnosis, Dynamic Mammogram Retrieval from Web-Based Image Libraries, Imaging and Communication in Health Informatics and Tumor Growth Modeling in Oncological Image Analysis. - Provides a complete collection of algorithms in computer processing of medical images - Contains over 60 pages of stunning, four-color images

Fractals in Engineering

Author : Jacques Levy Vehel
Publisher : Springer Science & Business Media
ISBN 13 : 1447109953
Total Pages : 408 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Fractals in Engineering by : Jacques Levy Vehel

Download or read book Fractals in Engineering written by Jacques Levy Vehel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal analysis research is expanding into a variety of engineering domains. The strong potential of this work is now beginning to be seen in important applications in real industrial situations. Recent research progress has already led to new developments in domains such as signal processing and chemical engineering, and the major advances in fractal theory that underlie such developments are detailed here. New domains of applications are also presented, among them environmental science and rough surface analysis. Sections include multifractal analysis, iterated function systems, random processes, network traffic analysis, fractals and waves, image compression, and applications in physics. Fractals in Engineering emphasizes the connection between fractal analysis research and applications to industry. It is an important volume that illustrates the scientific and industrial value of this exciting field.

Scale Space Methods in Computer Vision

Author : Lewis D. Griffin
Publisher : Springer Science & Business Media
ISBN 13 : 3540449353
Total Pages : 829 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Scale Space Methods in Computer Vision by : Lewis D. Griffin

Download or read book Scale Space Methods in Computer Vision written by Lewis D. Griffin and published by Springer Science & Business Media. This book was released on 2007-10-06 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refereed proceedings of the 4th International Conference on Scale Space Methods in Computer Vision, Scale-Space 2003, held at Isle of Skye, UK in June 2003. The 56 revised full papers presented were carefully reviewed and selected from 101 submissions. The book offers topical sections on deep structure representations, scale space mathematics, equivalences, implementing scale spaces, minimal approaches, evolution equations, local structure, image models, morphological scale spaces, temporal scale spaces, shape, and motion and stereo.

Neuromathematics of Vision

Author : Giovanna Citti
Publisher : Springer Science & Business Media
ISBN 13 : 3642344445
Total Pages : 378 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Neuromathematics of Vision by : Giovanna Citti

Download or read book Neuromathematics of Vision written by Giovanna Citti and published by Springer Science & Business Media. This book was released on 2014-02-08 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of the functional architecture of the visual cortex. Its geometrical structure is the differential geometry of the connectivity between neural cells. This connectivity is building and shaping the hidden brain structures underlying visual perception. The story of the problem runs over the last 30 years, since the discovery of Hubel and Wiesel of the modular structure of the primary visual cortex, and slowly cams towards a theoretical understanding of the experimental data on what we now know as functional architecture of the primary visual cortex. Experimental data comes from several domains: neurophysiology, phenomenology of perception and neurocognitive imaging. Imaging techniques like functional MRI and diffusion tensor MRI allow to deepen the study of cortical structures. Due to this variety of experimental data, neuromathematematics deals with modelling both cortical structures and perceptual spaces. From the mathematical point of view, neuromathematical call for new instruments of pure mathematics: sub-Riemannian geometry models horizontal connectivity, harmonic analysis in non commutative groups allows to understand pinwheels structure, as well as non-linear dimensionality reduction is at the base of many neural morphologies and possibly of the emergence of perceptual units. But at the center of the neurogeometry is the problem of harmonizing contemporary mathematical instruments with neurophysiological findings and phenomenological experiments in an unitary science of vision. The contributions to this book come from the very founders of the discipline.