Classical and discrete differential geometry theory, applications and algorithms / David Xianfeng Gu, and Emil Saucan.
| Author/creator | Gu, Xianfeng David |
| Other author | Saucan, Emil, 1961- |
| Format | Electronic |
| Edition | First edition. |
| Publication Info | Boca Raton : CRC Press, Taylor & Francis Group, 2023. |
| Description | xvii, 570 pages : illustrations ; 26 cm |
| Supplemental Content | Full text available from Taylor & Francis eBooks |
| Subjects |
| Abstract | "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"-- Provided by publisher. |
| Bibliography note | Includes bibliographical references (pages 539-562) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2022029382 |
| ISBN | 9781032390178 (hardback) |
| ISBN | 9781032396200 (paperback) |
| ISBN | (ebook) |