Digital And Image Geometry

Author : Reinhard Klette
Publisher : Elsevier
ISBN 13 : 0080477267
Total Pages : 675 pages
Book Rating : 4.68/5 ( download)

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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 675 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

Author : Jayanta Mukhopadhyay
Publisher : CRC Press
ISBN 13 : 1466505680
Total Pages : 316 pages
Book Rating : 4.81/5 ( download)

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Download or read book Digital Geometry in Image Processing written by Jayanta Mukhopadhyay and published by CRC Press. This book was released on 2016-04-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring theories and applications developed during the last 30 years, Digital Geometry in Image Processing presents a mathematical treatment of the properties of digital metric spaces and their relevance in analyzing shapes in two and three dimensions. Unlike similar books, this one connects the two areas of image processing and digital geometry,

Author : Li M. Chen
Publisher : Springer
ISBN 13 : 3319120999
Total Pages : 325 pages
Book Rating : 4.97/5 ( download)

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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 325 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.

Author : Martin J. Turner
Publisher : Academic Press
ISBN 13 : 9780127039701
Total Pages : 352 pages
Book Rating : 4.08/5 ( download)

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Download or read book Fractal Geometry in Digital Imaging written by Martin J. Turner and published by Academic Press. This book was released on 1998-06-23 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the theory and application of fractal geometry in digital imaging. Throughout the book, a series of new approaches to defining fractals are illustrated, such as the analysis of the fractal power spectrum and the use of fractional differentials. Several new algorithms and applications are also discussed and applied to real life images. Fractal Geometry in Digital imaging will appeal to postgraduates, researchers and practitioners in image processing, mathematics and computing, information technology and engineering.

Author : Valentin E. Brimkov
Publisher : Springer Science & Business Media
ISBN 13 : 940074174X
Total Pages : 430 pages
Book Rating : 4.44/5 ( download)

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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.

Author : Reinhard Klette
Publisher : Morgan Kaufmann
ISBN 13 : 1558608613
Total Pages : 676 pages
Book Rating : 4.10/5 ( download)

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Download or read book Digital Geometry written by Reinhard Klette and published by Morgan Kaufmann. This book was released on 2004-08-06 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book on digital geometry by the leaders in the field.

Author : James F. Peters
Publisher : Springer Nature
ISBN 13 : 303022192X
Total Pages : 440 pages
Book Rating : 4.28/5 ( download)

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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.

Author : Gilles Bertrand
Publisher : Springer
ISBN 13 : 3540455760
Total Pages : 455 pages
Book Rating : 4.69/5 ( download)

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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 455 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.

Author : Daniel Cohen-Or
Publisher : CRC Press
ISBN 13 : 1498706304
Total Pages : 238 pages
Book Rating : 4.08/5 ( download)

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Download or read book A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing written by Daniel Cohen-Or and published by CRC Press. This book was released on 2015-05-21 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas. The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics

Author : Richard Hartley
Publisher : Cambridge University Press
ISBN 13 : 1139449141
Total Pages : 676 pages
Book Rating : 4.44/5 ( download)

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Download or read book Multiple View Geometry in Computer Vision written by Richard Hartley and published by Cambridge University Press. This book was released on 2004-03-25 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.