Computational Geometry Topology And Physics Of Digital Images With Applications

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Computational Geometry, Topology and Physics of Digital Images with Applications

Author : James F. Peters
Publisher : Springer Nature
ISBN 13 : 303022192X
Total Pages : 440 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Computational Geometry, Topology and Physics of Digital Images with Applications by : James F. Peters

Download or read book Computational Geometry, Topology and Physics of Digital Images with Applications written by James F. Peters and published by Springer Nature. This book was released on 2019-10-03 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes. The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, computational physics is synonymous with the study of the fine structure of light choreographed in video frames. This choreography appears as a sequence of snapshots of light reflected and refracted from surface shapes, providing a solid foundation for detecting, analyzing and classifying visual scene shapes.

Digital Geometry

Author : Reinhard Klette
Publisher : Elsevier
ISBN 13 : 0080477267
Total Pages : 672 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Digital Geometry by : Reinhard Klette

Download or read book Digital Geometry written by Reinhard Klette and published by Elsevier. This book was released on 2004-09-04 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital geometry is about deriving geometric information from digital pictures. The field emerged from its mathematical roots some forty-years ago through work in computer-based imaging, and it is used today in many fields, such as digital image processing and analysis (with applications in medical imaging, pattern recognition, and robotics) and of course computer graphics. Digital Geometry is the first book to detail the concepts, algorithms, and practices of the discipline. This comphrehensive text and reference provides an introduction to the mathematical foundations of digital geometry, some of which date back to ancient times, and also discusses the key processes involved, such as geometric algorithms as well as operations on pictures. *A comprehensive text and reference written by pioneers in digital geometry, image processing and analysis, and computer vision *Provides a collection of state-of-the-art algorithms for a wide variety of geometrical picture analysis tasks, including extracting data from digital images and making geometric measurements on the data *Includes exercises, examples, and references to related or more advanced work

Advances in Computational Neuroscience

Author : Thomas Nowotny
Publisher : Frontiers Media SA
ISBN 13 : 2889745015
Total Pages : 253 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Advances in Computational Neuroscience by : Thomas Nowotny

Download or read book Advances in Computational Neuroscience written by Thomas Nowotny and published by Frontiers Media SA. This book was released on 2022-02-23 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Trends in Applied Analysis and Computational Mathematics

Author : Susanta Kumar Paikray
Publisher : Springer Nature
ISBN 13 : 9811614024
Total Pages : 322 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis New Trends in Applied Analysis and Computational Mathematics by : Susanta Kumar Paikray

Download or read book New Trends in Applied Analysis and Computational Mathematics written by Susanta Kumar Paikray and published by Springer Nature. This book was released on 2021-06-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains original research papers as the Proceedings of the International Conference on Advances in Mathematics and Computing, held at Veer Surendra Sai University of Technology, Odisha, India, on 7-8 February, 2020. It focuses on new trends in applied analysis, computational mathematics and related areas. It also includes certain new models, image analysis technique, fluid flow problems, etc. as applications of mathematical analysis and computational mathematics. The volume should bring forward new and emerging topics of mathematics and computing having potential applications and uses in other areas of sciences. It can serve as a valuable resource for graduate students, researchers and educators interested in mathematical tools and techniques for solving various problems arising in science and engineering.

Digital and Discrete Geometry

Author : Li M. Chen
Publisher : Springer
ISBN 13 : 3319120999
Total Pages : 322 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Digital and Discrete Geometry by : Li M. Chen

Download or read book Digital and Discrete Geometry written by Li M. Chen and published by Springer. This book was released on 2014-12-12 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive coverage of the modern methods for geometric problems in the computing sciences. It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData. The author investigates digital geometry and its related constructive methods in discrete geometry, offering detailed methods and algorithms. The book is divided into five sections: basic geometry; digital curves, surfaces and manifolds; discretely represented objects; geometric computation and processing; and advanced topics. Chapters especially focus on the applications of these methods to other types of geometry, algebraic topology, image processing, computer vision and computer graphics. Digital and Discrete Geometry: Theory and Algorithms targets researchers and professionals working in digital image processing analysis, medical imaging (such as CT and MRI) and informatics, computer graphics, computer vision, biometrics, and information theory. Advanced-level students in electrical engineering, mathematics, and computer science will also find this book useful as a secondary text book or reference. Praise for this book: This book does present a large collection of important concepts, of mathematical, geometrical, or algorithmical nature, that are frequently used in computer graphics and image processing. These concepts range from graphs through manifolds to homology. Of particular value are the sections dealing with discrete versions of classic continuous notions. The reader finds compact definitions and concise explanations that often appeal to intuition, avoiding finer, but then necessarily more complicated, arguments... As a first introduction, or as a reference for professionals working in computer graphics or image processing, this book should be of considerable value." - Prof. Dr. Rolf Klein, University of Bonn.

Mathematical Modelling

Author : Hemen Dutta
Publisher : American Mathematical Society
ISBN 13 : 1470469650
Total Pages : 174 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Modelling by : Hemen Dutta

Download or read book Mathematical Modelling written by Hemen Dutta and published by American Mathematical Society. This book was released on 2023-07-07 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of chapters that present key ideas and theories, as well as their rigorous applications, required for the development of mathematical models in areas such as travelling waves, epidemiology, the chemotaxis system, atrial fibrillation, and vortex nerve complexes. The techniques, methodologies and approaches adopted in this book have relevance in several other fields including physics, biology, and sociology. Each chapter should also assist readers in comfortably comprehending the related and underlying ideas. The companion volume (Contemporary Mathematics, Volume 786) is devoted to principle and theory.

3D Computer Vision

Author : Yu-Jin Zhang
Publisher : Springer Nature
ISBN 13 : 9811976031
Total Pages : 479 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis 3D Computer Vision by : Yu-Jin Zhang

Download or read book 3D Computer Vision written by Yu-Jin Zhang and published by Springer Nature. This book was released on with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Topology in Image Context

Author : Massimo Ferri
Publisher : Springer
ISBN 13 : 3642302386
Total Pages : 157 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Computational Topology in Image Context by : Massimo Ferri

Download or read book Computational Topology in Image Context written by Massimo Ferri and published by Springer. This book was released on 2012-06-13 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 4th International Workshop on Computational Topology in Image Context, CTIC 2012, held in Bertinoro, Italy, in May 2012. The 16 papers presented in this volume were carefully reviewed and selected for inclusion in this book. They focus on the topology and computation in image context. The workshop is devoted to computational methods using topology for the analysis and comparison of images. The involved research fields comprise computational topology and geometry, discrete topology and geometry, geometrical modeling, algebraic topology for image applications, and any other field involving a geometric-topological approach to image processing.

Digital Geometry Algorithms

Author : Valentin E. Brimkov
Publisher : Springer Science & Business Media
ISBN 13 : 940074174X
Total Pages : 430 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Digital Geometry Algorithms by : Valentin E. Brimkov

Download or read book Digital Geometry Algorithms written by Valentin E. Brimkov and published by Springer Science & Business Media. This book was released on 2012-05-20 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital geometry emerged as an independent discipline in the second half of the last century. It deals with geometric properties of digital objects and is developed with the unambiguous goal to provide rigorous theoretical foundations for devising new advanced approaches and algorithms for various problems of visual computing. Different aspects of digital geometry have been addressed in the literature. This book is the first one that explicitly focuses on the presentation of the most important digital geometry algorithms. Each chapter provides a brief survey on a major research area related to the general volume theme, description and analysis of related fundamental algorithms, as well as new original contributions by the authors. Every chapter contains a section in which interesting open problems are addressed.

Computational Proximity

Author : James F. Peters
Publisher : Springer
ISBN 13 : 3319302620
Total Pages : 433 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Computational Proximity by : James F. Peters

Download or read book Computational Proximity written by James F. Peters and published by Springer. This book was released on 2016-04-20 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces computational proximity (CP) as an algorithmic approach to finding nonempty sets of points that are either close to each other or far apart. Typically in computational proximity, the book starts with some form of proximity space (topological space equipped with a proximity relation) that has an inherent geometry. In CP, two types of near sets are considered, namely, spatially near sets and descriptivelynear sets. It is shown that connectedness, boundedness, mesh nerves, convexity, shapes and shape theory are principal topics in the study of nearness and separation of physical aswell as abstract sets. CP has a hefty visual content. Applications of CP in computer vision, multimedia, brain activity, biology, social networks, and cosmology are included. The book has been derived from the lectures of the author in a graduate course on the topology of digital images taught over the past several years. Many of the students have provided important insights and valuable suggestions. The topics in this monograph introduce many forms of proximities with a computational flavour (especially, what has become known as the strong contact relation), many nuances of topological spaces, and point-free geometry.

Computational Topology in Image Context

Author : Alexandra Bac
Publisher : Springer
ISBN 13 : 331939441X
Total Pages : 303 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Computational Topology in Image Context by : Alexandra Bac

Download or read book Computational Topology in Image Context written by Alexandra Bac and published by Springer. This book was released on 2016-06-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 6th International Workshop on Computational Topology in Image Context, CTIC 2016, held in Marseille, France, in June 2016. The 24 papers presented in this volume were carefully reviewed and selected from 35 submissions. Additionally, this volume contains 2 invited papers. CTIC covers a wide range of topics such as: topological invariants and their computation, homology, cohomology, linking number, fundamental groups; algorithm optimization in discrete geometry, transfer of mathematical tools, parallel computation in multi-dimensional volume context, hierarchical approaches; experimental evaluation of algorithms and heuristics; combinatorial or multi-resolution models; discrete or computational topology; geometric modeling guided by topological constraints; computational topological dynamics; and use of topological information in discrete geometry applications.

Digital and Discrete Geometry

Author : Li Chen
Publisher : Springer
ISBN 13 : 9783319121000
Total Pages : 322 pages
Book Rating : 4.1/5 (21 download)

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Book Synopsis Digital and Discrete Geometry by : Li Chen

Download or read book Digital and Discrete Geometry written by Li Chen and published by Springer. This book was released on 2015-01-09 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive coverage of the modern methods for geometric problems in the computing sciences. It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData. The author investigates digital geometry and its related constructive methods in discrete geometry, offering detailed methods and algorithms. The book is divided into five sections: basic geometry; digital curves, surfaces and manifolds; discretely represented objects; geometric computation and processing; and advanced topics. Chapters especially focus on the applications of these methods to other types of geometry, algebraic topology, image processing, computer vision and computer graphics. Digital and Discrete Geometry: Theory and Algorithms targets researchers and professionals working in digital image processing analysis, medical imaging (such as CT and MRI) and informatics, computer graphics, computer vision, biometrics, and information theory. Advanced-level students in electrical engineering, mathematics, and computer science will also find this book useful as a secondary text book or reference.

Numerical Geometry of Images

Author : Ron Kimmel
Publisher : Springer Science & Business Media
ISBN 13 : 0387216375
Total Pages : 222 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Numerical Geometry of Images by : Ron Kimmel

Download or read book Numerical Geometry of Images written by Ron Kimmel and published by Springer Science & Business Media. This book was released on 2012-09-07 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape from shading, color-image enhancement and segmentation, edge integration, offset curve computation, symmetry axis computation, path planning, minimal geodesic computation, and invariant signature calculation. In addition, it describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Graduate students, professionals, and researchers with interests in computational geometry, image processing, computer graphics, and algorithms will find this new text / reference an indispensable source of insight of instruction.

Digital and Image Geometry

Author : Gilles Bertrand
Publisher : Springer
ISBN 13 : 3540455760
Total Pages : 464 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Digital and Image Geometry by : Gilles Bertrand

Download or read book Digital and Image Geometry written by Gilles Bertrand and published by Springer. This book was released on 2003-07-31 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Images or discrete objects, to be analyzed based on digital image data, need to be represented, analyzed, transformed, recovered etc. These problems have stimulated many interesting developments in theoretical foundations of image processing. This coherent anthology presents 27 state-of-the-art surveys and research papers on digital image geometry and topology. It is based on a winter school held at Dagstuhl Castle, Germany in December 2000 and offers topical sections on topology, representation, geometry, multigrid convergence, and shape similarity and simplification.

Computational Information Geometry

Author : Frank Nielsen
Publisher : Springer
ISBN 13 : 3319470582
Total Pages : 299 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Computational Information Geometry by : Frank Nielsen

Download or read book Computational Information Geometry written by Frank Nielsen and published by Springer. This book was released on 2016-11-24 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the application and development of information geometric methods in the analysis, classification and retrieval of images and signals. It provides introductory chapters to help those new to information geometry and applies the theory to several applications. This area has developed rapidly over recent years, propelled by the major theoretical developments in information geometry, efficient data and image acquisition and the desire to process and interpret large databases of digital information. The book addresses both the transfer of methodology to practitioners involved in database analysis and in its efficient computational implementation.

Geometry, Topology and Physics

Author : Mikio Nakahara
Publisher : Taylor & Francis
ISBN 13 : 1420056948
Total Pages : 596 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Geometry, Topology and Physics by : Mikio Nakahara

Download or read book Geometry, Topology and Physics written by Mikio Nakahara and published by Taylor & Francis. This book was released on 2018-10-03 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.

Topological Algorithms for Digital Image Processing

Author : T.Y. Kong
Publisher : Elsevier
ISBN 13 : 9780080552040
Total Pages : 291 pages
Book Rating : 4.5/5 (52 download)

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Book Synopsis Topological Algorithms for Digital Image Processing by : T.Y. Kong

Download or read book Topological Algorithms for Digital Image Processing written by T.Y. Kong and published by Elsevier. This book was released on 1996-07-17 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic topological algorithms are the subject of this new book. It presents their underlying theory and discusses their applications. Due to the wide variety of topics treated in the seven chapters, no attempt has been made to standardize the notation and terminology used by the authors. Each chapter, however, is self-contained and can be read independently of the others. Some of the basic terminology and fundamental concepts of digital topology are reviewed in the appendix which also describes important areas of the field. A bibliography of over 360 references is also provided. The notations and terminologies used in this book will serve to introduce readers to the even wider variety that exists in the voluminous literature dealing with topological algorithms.