Author : Li Chen
Publisher : Unknown
Page : 162 pages
File Size : 54,8 Mb
Release : 2004
Category : Geometry
ISBN : 0975512218
Discrete Surfaces and Manifolds
Li Chen
Discrete Surfaces And Manifolds
Discrete Surfaces And Manifolds Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Discrete Surfaces And Manifolds book. This book definitely worth reading, it is an incredibly well-written.
Digital and Discrete Geometry
Li M. Chen
Author : Li M. Chen
Publisher : Springer
Page : 322 pages
File Size : 48,7 Mb
Release : 2014-12-12
Category : Computers
ISBN : 9783319120997
Digital and Discrete Geometry by Li M. Chen Pdf
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.
Hyperbolic Manifolds and Discrete Groups
Michael Kapovich
Author : Michael Kapovich
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 46,5 Mb
Release : 2009-08-04
Category : Mathematics
ISBN : 9780817649135
Hyperbolic Manifolds and Discrete Groups by Michael Kapovich Pdf
Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston’s hyperbolization theorem, which has not only completely changes the landscape of 3-dimensinal topology and Kleinian group theory but is one of the central results of 3-dimensional topology. The book is fairly self-contained, replete with beautiful illustrations, a rich set of examples of key concepts, numerous exercises, and an extensive bibliography and index. It should serve as an ideal graduate course/seminar text or as a comprehensive reference.
Emerging Trends in Visual Computing
Frank Nielsen
Author : Frank Nielsen
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 46,8 Mb
Release : 2009-03-26
Category : Computers
ISBN : 9783642008252
Emerging Trends in Visual Computing by Frank Nielsen Pdf
of Symmetries and Repeated Patterns in 3D Point Cloud Data – Sylvain LAZARD (VEGAS, INRIA LORIA Nancy, France): 3D Visibility and Lines in Space VI Preface ´
Conformal Geometry of Discrete Groups and Manifolds
Boris N. Apanasov
Author : Boris N. Apanasov
Publisher : Walter de Gruyter
Page : 541 pages
File Size : 45,7 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9783110808056
Conformal Geometry of Discrete Groups and Manifolds by Boris N. Apanasov Pdf
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Digital Functions and Data Reconstruction
Li Chen
Author : Li Chen
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 46,7 Mb
Release : 2012-12-12
Category : Computers
ISBN : 9781461456384
Digital Functions and Data Reconstruction by Li Chen Pdf
Digital Functions and Data Reconstruction: Digital-Discrete Methods provides a solid foundation to the theory of digital functions and its applications to image data analysis, digital object deformation, and data reconstruction. This new method has a unique feature in that it is mainly built on discrete mathematics with connections to classical methods in mathematics and computer sciences. Digitally continuous functions and gradually varied functions were developed in the late 1980s. A. Rosenfeld (1986) proposed digitally continuous functions for digital image analysis, especially to describe the “continuous” component in a digital image, which usually indicates an object. L. Chen (1989) invented gradually varied functions to interpolate a digital surface when the boundary appears to be continuous. In theory, digitally continuous functions are very similar to gradually varied functions. Gradually varied functions are more general in terms of being functions of real numbers; digitally continuous functions are easily extended to the mapping from one digital space to another. This will be the first book about digital functions, which is an important modern research area for digital images and digitalized data processing, and provides an introduction and comprehensive coverage of digital function methods. Digital Functions and Data Reconstruction: Digital-Discrete Methods offers scientists and engineers who deal with digital data a highly accessible, practical, and mathematically sound introduction to the powerful theories of digital topology and functional analysis, while avoiding the more abstruse aspects of these topics.
Mathematics of Surfaces XII
Ralph Martin
Author : Ralph Martin
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 55,8 Mb
Release : 2007-08-22
Category : Computers
ISBN : 9783540738428
Mathematics of Surfaces XII by Ralph Martin Pdf
This book constitutes the refereed proceedings of the 12th IMA International Conference on the Mathematics of Surfaces, held in Sheffield, UK in September 2007. The 22 revised full papers presented together with 8 invited papers were carefully reviewed and selected from numerous submissions. Among the topics addressed is the applicability of various aspects of mathematics to engineering and computer science, especially in domains such as computer aided design, computer vision, and computer graphics. The papers cover a range of ideas from underlying theoretical tools to industrial uses of surfaces. Research is reported on theoretical aspects of surfaces including topology, parameterization, differential geometry, and conformal geometry, and also more practical topics such as geometric tolerances, computing shape from shading, and medial axes for industrial applications. Other specific areas of interest include subdivision schemes, solutions of differential equations on surfaces, knot insertion, surface segmentation, surface deformation, and surface fitting.
Variational Principles for Discrete Surfaces
Junfei Dai,Xianfeng David Gu,Feng Luo
Author : Junfei Dai,Xianfeng David Gu,Feng Luo
Publisher : International Press of Boston
Page : 160 pages
File Size : 43,5 Mb
Release : 2008
Category : Computers
ISBN : UOM:39015080827440
Variational Principles for Discrete Surfaces by Junfei Dai,Xianfeng David Gu,Feng Luo Pdf
"This new volume introduces readers to some of the current topics of research in the geometry of polyhedral surfaces, with applications to computer graphics. The main feature of the volume is a systematic introduction to the geometry of polyhedral surfaces based on the variational principle. The authors focus on using analytic methods in the study of some of the fundamental results and problems of polyhedral geometry: for instance, the Cauchy rigidity theorem, Thurston's circle packing theorem, rigidity of circle packing theorems, and Colin de Verdiere's variational principle. The present book is the first complete treatment of the vast, and expansively developed, field of polyhedral geometry."--Back cover.
Advances in Computational Vision and Medical Image Processing
Joao Tavares,R. M. Natal Jorge
Author : Joao Tavares,R. M. Natal Jorge
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 49,5 Mb
Release : 2008-12-21
Category : Computers
ISBN : 9781402090868
Advances in Computational Vision and Medical Image Processing by Joao Tavares,R. M. Natal Jorge Pdf
Computational methodologies of signal processing and imaging analysis, namely considering 2D and 3D images, are commonly used in different applications of the human society. For example, Computational Vision systems are progressively used for surveillance tasks, traf?c analysis, recognition process, inspection p- poses, human-machine interfaces, 3D vision and deformation analysis. One of the main characteristics of the Computational Vision domain is its int- multidisciplinary. In fact, in this domain, methodologies of several more fundam- tal sciences, such as Informatics, Mathematics, Statistics, Psychology, Mechanics and Physics are usually used. Besides this inter-multidisciplinary characteristic, one of the main reasons that contributes for the continually effort done in this domain of the human knowledge is the number of applications in the medical area. For instance, it is possible to consider the use of statistical or physical procedures on medical images in order to model the represented structures. This modeling can have different goals, for example: shape reconstruction, segmentation, registration, behavior interpretation and simulation, motion and deformation analysis, virtual reality, computer-assisted therapy or tissue characterization. The main objective of the ECCOMAS Thematic Conferences on Computational Vision and Medical Image Processing (VIPimage) is to promote a comprehensive forum for discussion on the recent advances in the related ?elds trying to id- tify widespread areas of potential collaboration between researchers of different sciences.
Discrete Geometry for Computer Imagery
Serge Miguet,Annick Montanvert,Stephane Ubeda
Author : Serge Miguet,Annick Montanvert,Stephane Ubeda
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 47,6 Mb
Release : 1996-11-06
Category : Computers
ISBN : 3540620052
Discrete Geometry for Computer Imagery by Serge Miguet,Annick Montanvert,Stephane Ubeda Pdf
This book constitutes the refereed proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery, DGCI'96, held in Lyon, France, in November 1996. Computer imaging essentially depends on discrete models for coding, processing, recognition, representation, etc. The volume presents 24 revised full papers selected from 41 submissions together with 3 invited contributions and a tutorial paper, which bridges the gap between theory and practice. The issues addressed are topology, geometry, shape representation, 3D surfaces and volumes, models for discrete space, image transformation and generation.
Manifold Learning Theory and Applications
Yunqian Ma,Yun Fu
Author : Yunqian Ma,Yun Fu
Publisher : CRC Press
Page : 410 pages
File Size : 53,7 Mb
Release : 2011-12-20
Category : Business & Economics
ISBN : 9781466558878
Manifold Learning Theory and Applications by Yunqian Ma,Yun Fu Pdf
Trained to extract actionable information from large volumes of high-dimensional data, engineers and scientists often have trouble isolating meaningful low-dimensional structures hidden in their high-dimensional observations. Manifold learning, a groundbreaking technique designed to tackle these issues of dimensionality reduction, finds widespread
Discrete Geometry for Computer Imagery
Eric Andres
Author : Eric Andres
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 48,5 Mb
Release : 2005-04-07
Category : Computers
ISBN : 9783540255130
Discrete Geometry for Computer Imagery by Eric Andres Pdf
This book constitutes the refereed proceedings of the 12th International Conference on Discrete Geometry for Computer Imagery, DGCI 2005, held in Poitiers, France in April 2005. The 36 revised full papers presented together with an invited paper were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on applications, discrete hierarchical geometry, discrete tomography, discrete topology, object properties, reconstruction and recognition, uncertain geometry, and visualization.
Classical and Discrete Differential Geometry
David Xianfeng Gu,Emil Saucan
Author : David Xianfeng Gu,Emil Saucan
Publisher : CRC Press
Page : 589 pages
File Size : 53,7 Mb
Release : 2023-01-31
Category : Computers
ISBN : 9781000804454
Classical and Discrete Differential Geometry by David Xianfeng Gu,Emil Saucan Pdf
This book introduces differential geometry and cutting-edge findings from the discipline by incorporating both classical approaches and modern discrete differential geometry across all facets and applications, including graphics and imaging, physics and networks. With curvature as the centerpiece, the authors present the development of differential geometry, from curves to surfaces, thence to higher dimensional manifolds; and from smooth structures to metric spaces, weighted manifolds and complexes, and to images, meshes and networks. The first part of the book is a differential geometric study of curves and surfaces in the Euclidean space, enhanced while the second part deals with higher dimensional manifolds centering on curvature by exploring the various ways of extending it to higher dimensional objects and more general structures and how to return to lower dimensional constructs. The third part focuses on computational algorithms in algebraic topology and conformal geometry, applicable for surface parameterization, shape registration and structured mesh generation. The volume will be a useful reference for students of mathematics and computer science, as well as researchers and engineering professionals who are interested in graphics and imaging, complex networks, differential geometry and curvature.
Topological Data Structures for Surfaces
Sanjay Rana
Author : Sanjay Rana
Publisher : John Wiley & Sons
Page : 214 pages
File Size : 54,7 Mb
Release : 2005-12-13
Category : Science
ISBN : 9780470020272
Topological Data Structures for Surfaces by Sanjay Rana Pdf
In Geography and GIS, surfaces can be analysed and visualised through various data structures, and topological data structures describe surfaces in the form of a relationship between certain surface-specific features. Drawn from many disciplines with a strong applied aspect, this is a research-led, interdisciplinary approach to the creation, analysis and visualisation of surfaces, focussing on topological data structures. Topological Data Structures for Surfaces: an introduction for Geographical Information Science describes the concepts and applications of these data structures. The book focuses on how these data structures can be used to analyse and visualise surface datasets from a range of disciplines such as human geography, computer graphics, metrology, and physical geography. Divided into two Parts, Part I defines the topological surface data structures and explains the various automated methods used for their generation. Part II demonstrates a number of applications of surface networks in diverse fields, ranging from sub-atomic particle collision visualisation to the study of population density patterns. To ensure that the material is accessible, each Part is prefaced by an overview of the techniques and application. Provides GI scientists and geographers with an accessible overview of current surface topology research. Algorithms are presented and explained with practical examples of their usage. Features an accompanying website developed by the Editor - http://geog.le.ac.uk/sanjayrana/surface-networks/ This book is invaluable for researchers and postgraduate students working in departments of GI Science, Geography and Computer Science. It also constitutes key reference material for Masters students working on surface analysis projects as part of a GI Science or Computer Science programme.
Discrete Differential Geometry
Alexander I. Bobenko TU Berlin,Peter Schröder,John M. Sullivan,Günter M. Ziegler
Author : Alexander I. Bobenko TU Berlin,Peter Schröder,John M. Sullivan,Günter M. Ziegler
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 43,8 Mb
Release : 2008-03-27
Category : Mathematics
ISBN : 9783764386214
Discrete Differential Geometry by Alexander I. Bobenko TU Berlin,Peter Schröder,John M. Sullivan,Günter M. Ziegler Pdf
This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. The carefully edited collection of essays gives a lively, multi-facetted introduction to this emerging field.