James F. Peters's Books

Topology with Applications

Topological Spaces Via Near and Far

By: Somashekhar A. Naimpally,James F. Peters

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Topology with Applications

Topological Spaces Via Near and Far

By: Somashekhar A. Naimpally,James F. Peters

The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.

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Page Count

294

Publisher

World Scientific

Published Date

ISBN 10

9814407666

ISBN 13

9789814407663

Transactions on Rough Sets I

By: James F. Peters

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Transactions on Rough Sets I

By: James F. Peters

The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, starting from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence. This first volume of the Transactions on Rough Sets opens with an introductory article by Zdzislaw Pawlak, the originator of rough sets. Nine papers deal with rough set theory and eight are devoted to applications in various domains.

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Page Count

414

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540223746

ISBN 13

9783540223740

Transactions on Rough Sets III

By: James F. Peters

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Transactions on Rough Sets III

By: James F. Peters

The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence. This third volume of the Transactions on Rough Sets presents 11 revised papers that have been through a careful peer reviewing process by the journal's Editorial Board. The research monograph "Time Complexity of Decision Trees" by Mikhail Ju. Moshkov is presented in the section on dissertation and monographs. Among the regular papers the one by Zdzislaw Pawlak entitled "Flow Graphs and Data Mining" deserves a special mention.

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Page Count

468

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540259988

ISBN 13

9783540259985

Foundations of Computer Vision

Computational Geometry, Visual Image Structures and Object Shape Detection

By: James F. Peters

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Foundations of Computer Vision

Computational Geometry, Visual Image Structures and Object Shape Detection

By: James F. Peters

This book introduces the fundamentals of computer vision (CV), with a focus on extracting useful information from digital images and videos. Including a wealth of methods used in detecting and classifying image objects and their shapes, it is the first book to apply a trio of tools (computational geometry, topology and algorithms) in solving CV problems, shape tracking in image object recognition and detecting the repetition of shapes in single images and video frames. Computational geometry provides a visualization of topological structures such as neighborhoods of points embedded in images, while image topology supplies us with structures useful in the analysis and classification of image regions. Algorithms provide a practical, step-by-step means of viewing image structures. The implementations of CV methods in Matlab and Mathematica, classification of chapter problems with the symbols (easily solved) and (challenging) and its extensive glossary of key words, examples and connections with the fabric of CV make the book an invaluable resource for advanced undergraduate and first year graduate students in Engineering, Computer Science or Applied Mathematics. It offers insights into the design of CV experiments, inclusion of image processing methods in CV projects, as well as the reconstruction and interpretation of recorded natural scenes.

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Page Count

443

Publisher

Springer

Published Date

ISBN 10

3319524836

ISBN 13

9783319524832

Computational Proximity

Excursions in the Topology of Digital Images

By: James F. Peters

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Computational Proximity

Excursions in the Topology of Digital Images

By: James F. Peters

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.

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Page Count

450

Publisher

Springer

Published Date

ISBN 10

3319302620

ISBN 13

9783319302621

Homeschooling

The History and Philosophy of a Controversial Practice

By: James G. Dwyer,Shawn F. Peters

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Homeschooling

The History and Philosophy of a Controversial Practice

By: James G. Dwyer,Shawn F. Peters

In Homeschooling: The History and Philosophy of a Controversial Practice, James G. Dwyer and Shawn F. Peters examine homeschooling’s history, its methods, and the fundamental questions at the root of the heated debate over whether and how the state should oversee and regulate it. The authors trace the evolution of homeschooling and the law relating to it from before America’s founding to the present day. In the process they analyze the many arguments made for and against it, and set them in the context of larger questions about school and education. They then tackle the question of regulation, and they do so within a rigorous moral framework, one that is constructed from a clear-eyed assessment of what rights and duties children, parents, and the state each possess. Viewing the question through that lens allows Dwyer and Peters to even-handedly evaluate the competing arguments and ultimately generate policy prescriptions. Homeschooling is the definitive study of a vexed question, one that ultimately affects all citizens, regardless of their educational background.

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Page Count

251

Publisher

University of Chicago Press

Published Date

ISBN 10

022662725X

ISBN 13

9780226627250

Topology of Digital Images

Visual Pattern Discovery in Proximity Spaces

By: James F. Peters

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Topology of Digital Images

Visual Pattern Discovery in Proximity Spaces

By: James F. Peters

This book carries forward recent work on visual patterns and structures in digital images and introduces a near set-based a topology of digital images. Visual patterns arise naturally in digital images viewed as sets of non-abstract points endowed with some form of proximity (nearness) relation. Proximity relations make it possible to construct uniform topologies on the sets of points that constitute a digital image. In keeping with an interest in gaining an understanding of digital images themselves as a rich source of patterns, this book introduces the basics of digital images from a computer vision perspective. In parallel with a computer vision perspective on digital images, this book also introduces the basics of proximity spaces. Not only the traditional view of spatial proximity relations but also the more recent descriptive proximity relations are considered. The beauty of the descriptive proximity approach is that it is possible to discover visual set patterns among sets that are non-overlapping and non-adjacent spatially. By combining the spatial proximity and descriptive proximity approaches, the search for salient visual patterns in digital images is enriched, deepened and broadened. A generous provision of Matlab and Mathematica scripts are used in this book to lay bare the fabric and essential features of digital images for those who are interested in finding visual patterns in images. The combination of computer vision techniques and topological methods lead to a deep understanding of images.

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Page Count

414

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642538452

ISBN 13

9783642538452

Computational Geometry, Topology and Physics of Digital Images with Applications

Shape Complexes, Optical Vortex Nerves and Proximities

By: James F. Peters

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Computational Geometry, Topology and Physics of Digital Images with Applications

Shape Complexes, Optical Vortex Nerves and Proximities

By: James F. Peters

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.

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Page Count

455

Publisher

Springer Nature

Published Date

ISBN 10

303022192X

ISBN 13

9783030221928

Computational Intelligence in Software Engineering

By: Witold Pedrycz,James F. Peters

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Computational Intelligence in Software Engineering

By: Witold Pedrycz,James F. Peters

This unique volume is the first publication on software engineering and computational intelligence (CI) viewed as a synergistic interplay of neurocomputing, granular computation (including fuzzy sets and rough sets), and evolutionary methods. It presents a unified view of CI in the context of software engineering. The book addresses a number of crucial issues: what is CI, what role does it play in software development, how are CI elements built into successive phases of the software life cycle, and what is the role played by CI in quantifying fundamental features of software artifacts? With contributions from leading researchers and practitioners, the book provides the reader with a wealth of new concepts and approaches, complete algorithms, in-depth case studies, and thought-provoking exercises. The topics coverage include neurocomputing, granular as well as evolutionary computing, object-oriented analysis and design in software engineering. There is also an extensive bibliography.

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Solve jigsaw puzzle

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Page Count

504

Publisher

World Scientific

Published Date

ISBN 10

9810235038

ISBN 13

9789810235031

Book's by James F. Peters

Topology with Applications

Topology with Applications

Transactions on Rough Sets I

Transactions on Rough Sets I

Transactions on Rough Sets III

Transactions on Rough Sets III

Foundations of Computer Vision

Foundations of Computer Vision

Computational Proximity

Computational Proximity

Homeschooling

Homeschooling

Topology of Digital Images

Topology of Digital Images

Computational Geometry, Topology and Physics of Digital Images with Applications

Computational Geometry, Topology and Physics of Digital Images with Applications

Computational Intelligence in Software Engineering

Computational Intelligence in Software Engineering

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