Quasicrystals and Discrete Geometry

References [ 1 ] Chen , L. , Moody , R. V. and Patera , J. ( 1998 ) , Non - crystallographic root systems , in Quasicrystals and Discrete Geometry ( J. Patera , ed . ) , The Fields Institute for Research in Mathematical Sciences ...

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Author: Jiri Patera

Publisher: American Mathematical Soc.

ISBN: 0821871684

Category: Science

Page: 289

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Polytopes and Discrete Geometry

Title: Polytopes and discrete geometry : AMS Special Session on Polytopes and Discrete Geometry, April 21-22, 2018, Northeastern University, Boston, Massachusetts / Gabriel Cunningham, Mark Mixer, Egon Schulte, editors.

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Author: Gabriel Cunningham

Publisher: American Mathematical Soc.

ISBN: 9781470448974

Category: Education

Page: 272

View: 841

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 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. Topics covered in this volume include: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and interval posets; symmetries of surfaces and maps on surfaces; self-dual polytopes; string C C-groups; hypertopes; and graph coloring.

Discrete Geometry for Computer Imagery

Sivignon, I., Dupont, F., Chassery, J.M.: Reversible polygonalization of a 3D planar discrete curve: Application on discrete surfaces. In: International Conference on Discrete Geometry for Computer Imagery. (2005) 347–358 6.

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Author: Attila Kuba

Publisher: Springer

ISBN: 9783540476528

Category: Computers

Page: 688

View: 483

This book constitutes the refereed proceedings of the 13th International Conference on Discrete Geometry for Computer Imagery, DGCI 2006, held in Szeged, Hungary in October 2006. The 28 revised full papers and 27 revised poster papers presented together with two invited papers were carefully reviewed and selected from 99 submissions.

Depth Crossings and Conflicts in Discrete Geometry

This text is the result of several years' work on problems in discrete geometry throughout my doctoral studies. One might ask a philosophical question: what is discrete geometry, the topic of this work? Let me start with the biggest ...

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Author: Marek Sulovský

Publisher: Logos Verlag Berlin GmbH

ISBN: 9783832531195

Category: Mathematics

Page: 190

View: 510

Discrete geometry has been among the fastest growing fields of mathematics in the last decades. One of the most fascinating objects studied in discrete geometry are k-sets. Not only are they extremely difficult to understand but they also play an important role in estimating the running time of several geometric algorithms. This thesis presents developments in three areas related to k-sets. First, it examines the circle containment problem of Urrutia and Neumann-Lara and reveals its relationships to geometric partitioning problems and centre regions. Next, it investigates k-sets in low dimensions and generalises the k-edge crossing identity of Andrzejak et al. to the sphere. Last, it studies conflict-free colourings of geometric hypergraphs and extends many results on this topic to more restrictive list colouring variants.

Discrete Geometry and Algebraic Combinatorics

625 AMS Special Session Discrete Geometry and Algebraic Combinatorics January 11,2013 San Diego, CA Alexander Barg Oleg R. Musin Editors American Mathematical Society Discrete Geometry and Algebraic Combinatorics AMS Special Session ...

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Author: Alexander Barg

Publisher: American Mathematical Society

ISBN: 9781470409050

Category: Mathematics

Page: 190

View: 797

This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.

Discrete Geometry for Computer Imagery

In: SCG 1987: Proceedings of the third annual symposium on Computational geometry, pp. 50–63. ACM, New York (1987) 11. ... Image and Vision Computing 25(10), 1572–1587 (2007); Discrete Geometry for Computer Imagery 2005 14.

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Author: Christophe Reutenauer

Publisher: Springer Science & Business Media

ISBN: 9783642043963

Category: Computers

Page: 540

View: 754

This book constitutes the refereed proceedings of the 15th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2009, held in Montréal, Canada, in September/October 2009. The 42 revised full papers were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on discrete shape, representation, recognition and analysis; discrete and combinatorial tools for image segmentation and analysis; discrete and combinatorial Topology; models for discrete geometry; geometric transforms; and discrete tomography.

Discrete Geometry for Computer Imagery

Discrete distance operator on rectangular grids. Pattern Recognition Letters, 16:911–923, 1995. 5. D. Coquin, Y. Chehadeh, and P. Bolon. 3D local distance operator on parallelepipedic grids. In Proc. 4th Discrete Geometry for Computer ...

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Author: Achille Braquelaire

Publisher: Springer Science & Business Media

ISBN: 9783540433804

Category: Computers

Page: 444

View: 584

This book constitutes the refereed proceedings of the 10th International Conference on Digital Geometry for Computer Imagery, DGCI 2002, held in Bordeaux, France, in April 2002. The 22 revised full papers and 13 posters presented together with 3 invited papers were carefully reviewed and selected from 67 submissions. The papers are organized in topical sections on topology, combinatorial image analysis, morphological analysis, shape representation, models for discrete geometry, segmentation and shape recognition, and applications.

Discrete Geometry for Computer Imagery

Reconstruction of discrete surfaces from shading images by propagation of geometric features . In Discrete Geometry for Computer Imagery , volume 2886 of LNCS , pages 257-266 . Springer - Verlag , 2003 . 2. A. Braquelaire and A. Pousset ...

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Author:

Publisher:

ISBN: UOM:39015058775795

Category: Computer graphics

Page:

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Applied Geometry and Discrete Mathematics

Introduction Combinatorial distance problems for finite point sets in Euclidean spaces are classical topics in discrete geometry . Most popular is probably the question of how often the unit distance can occur in a set of m points in ...

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Author: Peter Gritzmann

Publisher: American Mathematical Soc.

ISBN: 0821870831

Category: Mathematics

Page: 608

View: 168

This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's 65th birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science. In addition, Klee made important contributions to mathematics, education, mathematical methods in economics and the decision sciences, applications of discrete mathematics in the biological and social sciences, and the transfer of knowledge from applied mathematics to industry. In honour of Klee's achievements, this volume presents more than 40 papers on topics related to Klee's research. While the majority of the papers are research articles, a number of survey articles are also included. Mirroring the breadth of Klee's mathematical contributions, this book shows how different branches of mathematics interact. It is a fitting tribute to one of the leading figures in discrete mathematics.

Advances in Discrete Differential Geometry

“Courbure discrète: théorie et applications” 21. Wang, J., Jiang, C., Bompas, P., Wallner, J., Pottmann, H.: Discrete line congruences for shading and lighting. Comput. Graph. Forum 32(5), 53–62. Proc. Symp, Geometry Processing (2013) ...

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Author: Alexander I. Bobenko

Publisher: Springer

ISBN: 9783662504475

Category: Mathematics

Page: 439

View: 750

This is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. The authors take a closer look at discrete models in differential geometry and dynamical systems. Their curves are polygonal, surfaces are made from triangles and quadrilaterals, and time is discrete. Nevertheless, the difference between the corresponding smooth curves, surfaces and classical dynamical systems with continuous time can hardly be seen. This is the paradigm of structure-preserving discretizations. Current advances in this field are stimulated to a large extent by its relevance for computer graphics and mathematical physics. This book is written by specialists working together on a common research project. It is about differential geometry and dynamical systems, smooth and discrete theories, and on pure mathematics and its practical applications. The interaction of these facets is demonstrated by concrete examples, including discrete conformal mappings, discrete complex analysis, discrete curvatures and special surfaces, discrete integrable systems, conformal texture mappings in computer graphics, and free-form architecture. This richly illustrated book will convince readers that this new branch of mathematics is both beautiful and useful. It will appeal to graduate students and researchers in differential geometry, complex analysis, mathematical physics, numerical methods, discrete geometry, as well as computer graphics and geometry processing.