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Author : Mohamed Boucetta
Release :
Genre :
Kind : eBook
Book Rating : 07X/5 ( reviews)
Book Synopsis Differential Geometry and Topology, Discrete and Computational Geometry by : Mohamed Boucetta
Download or read book Differential Geometry and Topology, Discrete and Computational Geometry written by Mohamed Boucetta. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mohamed Boucetta
Release : 2005
Genre : Mathematics
Kind : eBook
Book Rating : 075/5 ( reviews)
Book Synopsis Differential Geometry and Topology, Discrete and Computational Geometry by : Mohamed Boucetta
Download or read book Differential Geometry and Topology, Discrete and Computational Geometry written by Mohamed Boucetta. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to give an introduction and overview to differential topology, differential geometry and computational geometry with an emphasis on some interconnections between these three domains of mathematics. The chapters give the background required to begin research in these fields or at their interfaces. They introduce new research domains and both old and new conjectures in these different subjects show some interaction between other sciences close to mathematics. Topics discussed are; the basis of differential topology and combinatorial topology, the link between differential geometry and topology, Riemanian geometry (Levi-Civita connextion, curvature tensor, geodesic, completeness and curvature tensor), characteristic classes (to associate every fibre bundle with isomorphic fiber bundles), the link between differential geometry and the geometry of non smooth objects, computational geometry and concrete applications such as structural geology and graphism.
Author : Alexander I. Bobenko
Release : 2016-08-12
Genre : Mathematics
Kind : eBook
Book Rating : 472/5 ( reviews)
Book Synopsis Advances in Discrete Differential Geometry by : Alexander I. Bobenko
Download or read book Advances in Discrete Differential Geometry written by Alexander I. Bobenko. This book was released on 2016-08-12. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Csaba D. Toth
Release : 2017-11-22
Genre : Computers
Kind : eBook
Book Rating : 421/5 ( reviews)
Book Synopsis Handbook of Discrete and Computational Geometry by : Csaba D. Toth
Download or read book Handbook of Discrete and Computational Geometry written by Csaba D. Toth. This book was released on 2017-11-22. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Author : Herbert Edelsbrunner
Release : 2014-04-28
Genre : Computers
Kind : eBook
Book Rating : 572/5 ( reviews)
Book Synopsis A Short Course in Computational Geometry and Topology by : Herbert Edelsbrunner
Download or read book A Short Course in Computational Geometry and Topology written by Herbert Edelsbrunner. This book was released on 2014-04-28. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence which is indispensable for applications, e.g. shape reconstruction. The target audience comprises researchers and practitioners in mathematics, biology, neuroscience and computer science, but the book may also be beneficial to graduate students of these fields.
