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Geometry of Digital Spaces

Author: Gabor T. Herman

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 221

ISBN-13: 1461241367

"La narraci6n literaria es la evocaci6n de las nostalgias. " ("Literary narration is the evocation of nostalgia. ") G. G. Marquez, interview in Puerta del Sol, VII, 4, 1996. A Personal Prehistory In 1972 I started cooperating with members of the Biodynamics Research Unit at the Mayo Clinic in Rochester, Minnesota, which was under the direction of Earl H. Wood. At that time, their ambitious (and eventually realized) dream was to build the Dynamic Spatial Reconstructor (DSR), a device capable of collecting data regarding the attenuation of X-rays through the human body fast enough for stop-action imaging the full extent of the beating heart inside the thorax. Such a device can be applied to study the dynamic processes of cardiopulmonary physiology, in a manner similar to the application of an ordinary cr (computerized tomography) scanner to observing stationary anatomy. The standard method of displaying the information produced by a cr scanner consists of showing two-dimensional images, corresponding to maps of the X-ray attenuation coefficient in slices through the body. (Since different tissue types attenuate X-rays differently, such maps provide a good visualization of what is in the body in those slices; bone - which attenuates X-rays a lot - appears white, air appears black, tumors typically appear less dark than the surrounding healthy tissue, etc. ) However, it seemed to me that this display mode would not be appropriate for the DSR.

Digital and Discrete Geometry

Author: Li M. Chen

Publisher: Springer

Published: 2014-12-12

Total Pages: 325

ISBN-13: 3319120999

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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.

Digital Geometry

Author: Reinhard Klette

Publisher: Morgan Kaufmann

Published: 2004-08-06

Total Pages: 676

ISBN-13: 1558608613

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The first book on digital geometry by the leaders in the field.

Conceptual Spaces

Author: Peter Gardenfors

Publisher: MIT Press

Published: 2004-01-30

Total Pages: 324

ISBN-13: 9780262572194

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Within cognitive science, two approaches currently dominate the problem of modeling representations. The symbolic approach views cognition as computation involving symbolic manipulation. Connectionism, a special case of associationism, models associations using artificial neuron networks. Peter Gärdenfors offers his theory of conceptual representations as a bridge between the symbolic and connectionist approaches. Symbolic representation is particularly weak at modeling concept learning, which is paramount for understanding many cognitive phenomena. Concept learning is closely tied to the notion of similarity, which is also poorly served by the symbolic approach. Gärdenfors's theory of conceptual spaces presents a framework for representing information on the conceptual level. A conceptual space is built up from geometrical structures based on a number of quality dimensions. The main applications of the theory are on the constructive side of cognitive science: as a constructive model the theory can be applied to the development of artificial systems capable of solving cognitive tasks. Gärdenfors also shows how conceptual spaces can serve as an explanatory framework for a number of empirical theories, in particular those concerning concept formation, induction, and semantics. His aim is to present a coherent research program that can be used as a basis for more detailed investigations.

Digital Geometry in Image Processing

Author: Jayanta Mukhopadhyay

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 316

ISBN-13: 1466505680

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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,

Encyclopedia of Computer Science and Technology

Author: Phillip A. Laplante

Publisher: CRC Press

Published: 2017-10-02

Total Pages: 1013

ISBN-13: 1351652494

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With breadth and depth of coverage, the Encyclopedia of Computer Science and Technology, Second Edition has a multi-disciplinary scope, drawing together comprehensive coverage of the inter-related aspects of computer science and technology. The topics covered in this encyclopedia include: General and reference Hardware Computer systems organization Networks Software and its engineering Theory of computation Mathematics of computing Information systems Security and privacy Human-centered computing Computing methodologies Applied computing Professional issues Leading figures in the history of computer science The encyclopedia is structured according to the ACM Computing Classification System (CCS), first published in 1988 but subsequently revised in 2012. This classification system is the most comprehensive and is considered the de facto ontological framework for the computing field. The encyclopedia brings together the information and historical context that students, practicing professionals, researchers, and academicians need to have a strong and solid foundation in all aspects of computer science and technology.

Spaces, Spatiality and Technology

Author: Phil Turner

Publisher: Springer Science & Business Media

Published: 2005-07-22

Total Pages: 313

ISBN-13: 1402032730

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separated by the exigencies of the design life cycle into another compartment, that makes invisible the (prior) technical work of engineers that is not directly pertinent to the application work of practitioners. More recently (and notably after the work of Greisemer and Star) the black box has been opened and infrastructure has been discussed in terms of the social relations of an extended group of actors that includes developers. Ethical and political issues are involved (cf f accountable computing). Writing broadly within this context, Day (chapter 11) proposes that the concept of 'surface' can assist us to explore space as the product of 'power and the affective and expressive role for materials', rather than the background to this. Surfaces are the 'variously textured...sites for mixtures between bodies', and are thus the 'sites for events'. The notions of 'folding' and 'foldability' and 'unfolding' are discussed at length, as metaphors that account for the interactions of bodies in space across time. Some of the contributors to this volume focus on ways in which we may experience multiple infrastructures. Dix and his colleagues, for example, in chapter 12 explore a complex of models - of spatial context, of 'mixed reality boundaries' and of human spatial understanding across a number of field projects that make up the Equator project to explain the ways in which co-existing multiple spaces are experienced.

Seismogenic and Tsunamigenic Processes in Shallow Subduction Zones

Author: Jeanne Sauber

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 373

ISBN-13: 3034886799

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Earthquakes in shallow subduction zones account for the greatest part of seismic energy release in the Earth and often cause significant damage; in some cases they are accompanied by devastating tsunamis. Understanding the physics of seismogenic and tsunamigenic processes in such zones continues to be a challenging focus of ongoing research. The seismologic and geodetic work reported in this volume highlights the recent advances made toward quantifying and understandig the role of shallow plate coupling in the earthquake generation process. The relation between regional seismotectonics, features in the downgoing plate, and the slip distribution in earthquakes are examined for recent and great historical events. In addition to papers reporting new results, review articles on tsunami and tsunamigenic earthquakes and depth dependent plate interface properties are presented. These observational results, along with complementary laboratory and theoretical studies, can assist in assessing the seismic potential of a given region.

Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization

Author: Christer Oscar Kiselman

Publisher: World Scientific

Published: 2022-01-06

Total Pages: 488

ISBN-13: 9811248311

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The author presents three distinct but related branches of science in this book: digital geometry, mathematical morphology, and discrete optimization. They are united by a common mindset as well as by the many applications where they are useful. In addition to being useful, each of these relatively new branches of science is also intellectually challenging.The book contains a systematic study of inverses of mappings between ordered sets, and so offers a uniquely helpful organization in the approach to several phenomena related to duality.To prepare the ground for discrete convexity, there are chapters on convexity in real vector spaces in anticipation of the many challenging problems coming up in digital geometry. To prepare for the study of new topologies introduced to serve in discrete spaces, there is also a chapter on classical topology.The book is intended for general readers with a modest background in mathematics and for advanced undergraduate students as well as beginning graduate students.

Designing Digital Space

Author: Daniela Bertol

Publisher: John Wiley & Sons

Published: 1996-12-20

Total Pages: 356

ISBN-13: 9780471146629

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The Complete Guide to Virtual Reality in Architecture andDesign The first in-depth book on virtual reality (VR) aimed specificallyat architecture and design professionals, Designing Digital Spacesteers you skillfully through the learning curve of this excitingnew technology. Beginning with a historical overview of theevolution of architectural representations, this unique resourceexplains what VR is, how it is being applied today, and how itpromises to revolutionize not only the design process, but the formand function of the built environment itself. Vividly illustratinghow VR fits alongside traditional methods of architecturalrepresentation, this comprehensive guide prepares you to makeoptimum practical use of this powerful interactive tool, andembrace the new role of the architect in a virtually designedworld. Offers in-depth coverage of the virtual universe--datarepresentation and information management, static and dynamicworlds, tracking and visual display systems, control devices, andmore. Examines a wide range of current VR architectural applications,from walkthroughs, simulations, and evaluations to reconstructionsand networked environments Includes insightful essays by leading VR developers covering someof today's most innovative projects Integrates VR into the historical framework of architecturaldevelopment, with detailed sections on the past, present, andfuture Features a dazzling array of virtual world images and sequentialdisplays Explores the potential impact of digital architecture on the builtenvironment of the future