An Excursion Through Discrete Differential Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Excursion Through Discrete Differential Geometry write by American Mathematical Society. Short Course, Discrete Differential Geometry. This book was released on 2020-09-02. An Excursion Through Discrete Differential Geometry available in PDF, EPUB and Kindle. Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees. This volume is based on lectures delivered at the 2018 AMS Short Course ``Discrete Differential Geometry,'' held January 8-9, 2018, in San Diego, California. The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.
Discrete Differential Geometry
Discrete Differential Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Differential Geometry write by Alexander I. Bobenko TU Berlin. This book was released on 2008-03-27. Discrete Differential Geometry available in PDF, EPUB and Kindle. 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.
Advances in Discrete Differential Geometry
Advances in Discrete Differential Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Discrete Differential Geometry write by Alexander I. Bobenko. This book was released on 2016-08-12. Advances in Discrete Differential Geometry available in PDF, EPUB and Kindle. 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.
Differential Geometry of Curves and Surfaces
Differential Geometry of Curves and Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Geometry of Curves and Surfaces write by Victor Andreevich Toponogov. This book was released on 2006-09-10. Differential Geometry of Curves and Surfaces available in PDF, EPUB and Kindle. Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original problems (some with hints and solutions) Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels
Differential Geometry and Topology, Discrete and Computational Geometry (NATO Science Series. Series III, Computer and Systems Sciences, 1387-6694 ; V. 197)
Differential Geometry and Topology, Discrete and Computational Geometry (NATO Science Series. Series III, Computer and Systems Sciences, 1387-6694 ; V. 197) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Geometry and Topology, Discrete and Computational Geometry (NATO Science Series. Series III, Computer and Systems Sciences, 1387-6694 ; V. 197) write by Mohamed Boucetta. This book was released on 2005. Differential Geometry and Topology, Discrete and Computational Geometry (NATO Science Series. Series III, Computer and Systems Sciences, 1387-6694 ; V. 197) available in PDF, EPUB and Kindle.
