Volumetric Discrete Geometry

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Volumetric Discrete Geometry

Author : Karoly Bezdek
Publisher : CRC Press
ISBN 13 : 1000000338
Total Pages : 286 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Volumetric Discrete Geometry by : Karoly Bezdek

Download or read book Volumetric Discrete Geometry written by Karoly Bezdek and published by CRC Press. This book was released on 2019-04-24 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume, introduces problems related to it, and presents methods to apply it to other geometric problems. Part I of the text consists of survey chapters of selected topics on volume and is suitable for advanced undergraduate students. Part II has chapters of selected proofs of theorems stated in Part I and is oriented for graduate level students wishing to learn about the latest research on the topic. Chapters can be studied independently from each other. Provides a list of 30 open problems to promote research Features more than 60 research exercises Ideally suited for researchers and students of combinatorics, geometry and discrete mathematics

Volumetric Discrete Geometry

Author : Karoly Bezdek
Publisher : CRC Press
ISBN 13 : 1000007162
Total Pages : 199 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Volumetric Discrete Geometry by : Karoly Bezdek

Download or read book Volumetric Discrete Geometry written by Karoly Bezdek and published by CRC Press. This book was released on 2019-04-24 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume, introduces problems related to it, and presents methods to apply it to other geometric problems. Part I of the text consists of survey chapters of selected topics on volume and is suitable for advanced undergraduate students. Part II has chapters of selected proofs of theorems stated in Part I and is oriented for graduate level students wishing to learn about the latest research on the topic. Chapters can be studied independently from each other. Provides a list of 30 open problems to promote research Features more than 60 research exercises Ideally suited for researchers and students of combinatorics, geometry and discrete mathematics

Discrete Geometry

Author : Andras Bezdek
Publisher : CRC Press
ISBN 13 : 0824747615
Total Pages : 500 pages
Book Rating : 4.8/5 (247 download)

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Book Synopsis Discrete Geometry by : Andras Bezdek

Download or read book Discrete Geometry written by Andras Bezdek and published by CRC Press. This book was released on 2003-02-04 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analyzes packings and coverings with congruent convex bodies , arrangements on the sphere, line transversals, Euclidean and spherical tilings, geometric graphs, polygons and polyhedra, and fixing systems for convex figures. This text also offers research and contributions from more than 50 esteemed international authorities, making it a valuable addition to any mathematical library.

Volume Inequalities for Arrangements of Convex Bodies

Author : Karoly Bezdek
Publisher : CRC Press
ISBN 13 : 9781498743785
Total Pages : pages
Book Rating : 4.7/5 (437 download)

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Book Synopsis Volume Inequalities for Arrangements of Convex Bodies by : Karoly Bezdek

Download or read book Volume Inequalities for Arrangements of Convex Bodies written by Karoly Bezdek and published by CRC Press. This book was released on 2017-11-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is centered around two major conjectures of discrete geometry: the Hadwiger-Levi conjecture (1955) and the Kneser-Poulsen conjecture (1955). Although both conjectures have been solved only in dimension two and are open in higher dimensions, they have already influenced a great deal of research in discrete geometry and surely will continue to do so. The book gives a detailed account of all major results already achieved with complete proofs and emphasizing the role of volumetric methods/inequalities. The book s main purpose is to present the relevant frontline research in discrete geometry while generating wider interest in two fundamental conjectures of discrete geometry. "

Volume Inequalities for Arrangements of Convex Bodies

Author : Karoly Bezdek
Publisher :
ISBN 13 : 9781498743792
Total Pages : pages
Book Rating : 4.7/5 (437 download)

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Book Synopsis Volume Inequalities for Arrangements of Convex Bodies by : Karoly Bezdek

Download or read book Volume Inequalities for Arrangements of Convex Bodies written by Karoly Bezdek and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book is centered around two major conjectures of discrete geometry: the Hadwiger-Levi conjecture (1955) and the Kneser-Poulsen conjecture (1955). Although both conjectures have been solved only in dimension two and are open in higher dimensions, they have already influenced a great deal of research in discrete geometry and surely will continue to do so. The book gives a detailed account of all major results already achieved with complete proofs and emphasizing the role of volumetric methods/inequalities. The book’s main purpose is to present the relevant frontline research in discrete geometry while generating wider interest in two fundamental conjectures of discrete geometry."--Provided by publisher.

Discrete Geometry for Computer Imagery

Author : Serge Miguet
Publisher : Springer Science & Business Media
ISBN 13 : 9783540620051
Total Pages : 372 pages
Book Rating : 4.6/5 (2 download)

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Book Synopsis Discrete Geometry for Computer Imagery by : Serge Miguet

Download or read book Discrete Geometry for Computer Imagery written by Serge Miguet and published by Springer Science & Business Media. This book was released on 1996-11-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Rigidity and Symmetry

Author : Robert Connelly
Publisher : Springer
ISBN 13 : 1493907816
Total Pages : 374 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Rigidity and Symmetry by : Robert Connelly

Download or read book Rigidity and Symmetry written by Robert Connelly and published by Springer. This book was released on 2014-06-11 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory, classical geometry, hyperbolic geometry and topology. Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. The volume will be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as post docs, structural engineers and chemists.

The Cube-A Window to Convex and Discrete Geometry

Author : Chuanming Zong
Publisher : Cambridge University Press
ISBN 13 : 9780521855358
Total Pages : 196 pages
Book Rating : 4.8/5 (553 download)

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Book Synopsis The Cube-A Window to Convex and Discrete Geometry by : Chuanming Zong

Download or read book The Cube-A Window to Convex and Discrete Geometry written by Chuanming Zong and published by Cambridge University Press. This book was released on 2006-02-02 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory.

Applications of Discrete Geometry and Mathematical Morphology

Author : Ullrich Köthe
Publisher : Springer
ISBN 13 : 3642323138
Total Pages : 175 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Applications of Discrete Geometry and Mathematical Morphology by : Ullrich Köthe

Download or read book Applications of Discrete Geometry and Mathematical Morphology written by Ullrich Köthe and published by Springer. This book was released on 2012-07-30 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the first Workshop on Applications of Discrete Geometry and Mathematical Morphology, WADGMM 2010, held at the International Conference on Pattern Recognition in Istanbul, Turkey, in August 2010. The 11 revised full papers presented were carefully reviewed and selected from 25 submissions. The book was specifically designed to promote interchange and collaboration between experts in discrete geometry/mathematical morphology and potential users of these methods from other fields of image analysis and pattern recognition.

Convexity and Concentration

Author : Eric Carlen
Publisher : Springer
ISBN 13 : 1493970054
Total Pages : 626 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Convexity and Concentration by : Eric Carlen

Download or read book Convexity and Concentration written by Eric Carlen and published by Springer. This book was released on 2017-04-20 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications during the Spring 2015 where geometric analysis, convex geometry and concentration phenomena were the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The volume is organized into two parts. Part I contains those contributions that focus primarily on problems motivated by probability theory, while Part II contains those contributions that focus primarily on problems motivated by convex geometry and geometric analysis. This book will be of use to those who research convex geometry, geometric analysis and probability directly or apply such methods in other fields.

Polytopes and Discrete Geometry

Author : Gabriel Cunningham
Publisher :
ISBN 13 : 9781470464202
Total Pages : 272 pages
Book Rating : 4.4/5 (642 download)

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Book Synopsis Polytopes and Discrete Geometry by : Gabriel Cunningham

Download or read book Polytopes and Discrete Geometry written by Gabriel Cunningham and published by . This book was released on 1900 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume contains the proceedings of the AMS Special Session on Polytopes and Discrete Geometry, held from April 21–22, 2018, at Northeastern University, Boston, Massachusetts. The papers showcase the breadth of discrete geometry through many new methods and results in a variety of topics. Also included are survey articles on some important areas of active research. This volume is aimed at researchers in discrete and convex geometry and researchers who work with abstract polytopes or string C-groups. It is also aimed at early career mathematicians, including graduate students and postdoctoral fellows, to give them a glimpse of the variety and beauty of these research areas."--

Discrete Geometry for Computer Imagery

Author :
Publisher :
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Discrete Geometry for Computer Imagery by :

Download or read book Discrete Geometry for Computer Imagery written by and published by . This book was released on 2002 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete Differential Geometry

Author : Alexander I. Bobenko TU Berlin
Publisher : Springer Science & Business Media
ISBN 13 : 3764386215
Total Pages : 341 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Discrete Differential Geometry by : Alexander I. Bobenko TU Berlin

Download or read book Discrete Differential Geometry written by Alexander I. Bobenko TU Berlin and published by Springer Science & Business Media. This book was released on 2008-03-27 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Geometry for Computer Imagery

Author : Italy) Dgci 200 (2003 Naples
Publisher : Springer Science & Business Media
ISBN 13 : 3540204997
Total Pages : 568 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Discrete Geometry for Computer Imagery by : Italy) Dgci 200 (2003 Naples

Download or read book Discrete Geometry for Computer Imagery written by Italy) Dgci 200 (2003 Naples and published by Springer Science & Business Media. This book was released on 2003-11-04 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: technical committee. The outcome from this meeting will help the ongoing research and communication for researchers active within the ?eld during the 18 months between the conferences.

Bodies of Constant Width

Author : Horst Martini
Publisher : Springer
ISBN 13 : 3030038688
Total Pages : 486 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Bodies of Constant Width by : Horst Martini

Download or read book Bodies of Constant Width written by Horst Martini and published by Springer. This book was released on 2019-03-16 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various areas of mathematics. Concise explanations and detailed proofs demonstrate the many interesting properties and applications of these bodies. Numerous instructive diagrams are provided throughout to illustrate these concepts. An introduction to convexity theory is first provided, and the basic properties of constant width bodies are then presented. The book then delves into a number of related topics, which include Constant width bodies in convexity (sections and projections, complete and reduced sets, mixed volumes, and further partial fields) Sets of constant width in non-Euclidean geometries (in real Banach spaces, and in hyperbolic, spherical, and further non-Euclidean spaces) The concept of constant width in analysis (using Fourier series, spherical integration, and other related methods) Sets of constant width in differential geometry (using systems of lines and discussing notions like curvature, evolutes, etc.) Bodies of constant width in topology (hyperspaces, transnormal manifolds, fiber bundles, and related topics) The notion of constant width in discrete geometry (referring to geometric inequalities, packings and coverings, etc.) Technical applications, such as film projectors, the square-hole drill, and rotary engines Bodies of Constant Width: An Introduction to Convex Geometry with Applications will be a valuable resource for graduate and advanced undergraduate students studying convex geometry and related fields. Additionally, it will appeal to any mathematicians with a general interest in geometry.

Discrete Differential Geometry

Author : Alexander I. Bobenko
Publisher : American Mathematical Society
ISBN 13 : 1470474565
Total Pages : 432 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Discrete Differential Geometry by : Alexander I. Bobenko

Download or read book Discrete Differential Geometry written by Alexander I. Bobenko and published by American Mathematical Society. This book was released on 2023-09-14 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. The latter appears as a limit of a refinement of the discretization. Current interest in discrete differential geometry derives not only from its importance in pure mathematics but also from its applications in computer graphics, theoretical physics, architecture, and numerics. Rather unexpectedly, the very basic structures of discrete differential geometry turn out to be related to the theory of integrable systems. One of the main goals of this book is to reveal this integrable structure of discrete differential geometry. For a given smooth geometry one can suggest many different discretizations. Which one is the best? This book answers this question by providing fundamental discretization principles and applying them to numerous concrete problems. It turns out that intelligent theoretical discretizations are distinguished also by their good performance in applications. The intended audience of this book is threefold. It is a textbook on discrete differential geometry and integrable systems suitable for a one semester graduate course. On the other hand, it is addressed to specialists in geometry and mathematical physics. It reflects the recent progress in discrete differential geometry and contains many original results. The third group of readers at which this book is targeted is formed by specialists in geometry processing, computer graphics, architectural design, numerical simulations, and animation. They may find here answers to the question “How do we discretize differential geometry?” arising in their specific field. Prerequisites for reading this book include standard undergraduate background (calculus and linear algebra). No knowledge of differential geometry is expected, although some familiarity with curves and surfaces can be helpful.

Discrete Geometry for Computer Imagery

Author : David Coeurjolly
Publisher : Springer Science & Business Media
ISBN 13 : 3540791256
Total Pages : 566 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Discrete Geometry for Computer Imagery by : David Coeurjolly

Download or read book Discrete Geometry for Computer Imagery written by David Coeurjolly and published by Springer Science & Business Media. This book was released on 2008-04-03 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th IAPR TC-18 International Conference on Discrete Geometry for Computer Imagery, DGCI 2008, held in Lyon, France, in April 2008. The 23 revised full papers and 22 revised poster papers presented together with 3 invited papers were carefully reviewed and selected from 76 submissions. The papers are organized in topical sections on models for discrete geometry, discrete and combinatorial topology, geometric transforms, discrete shape representation, recognition and analysis, discrete tomography, morphological analysis, discrete modelling and visualization, as well as discrete and combinatorial tools for image segmentation and analysis.