02741oam 2200481 450 991043802970332120190911103512.01-4614-8781-110.1007/978-1-4614-8781-4(OCoLC)862577703(MiFhGG)GVRL6YLE(EXLCZ)99371000000002430520130802d2013 uy 0engurun|---uuuuatxtccrRicci flow for shape analysis and surface registration theories, algorithms and applications /Wei Zeng, Xianfeng David Gu1st ed. 2013.New York :Springer,2013.1 online resource (xi, 139 pages) illustrations (chiefly color)SpringerBriefs in Mathematics,2191-8198"ISSN: 2191-8198.""ISSN: 2191-8201 (electronic)."1-4614-8780-3 Includes bibliographical references and index.1. Introduction -- 2. Computational -- 3. Computational Geometry -- 4. Differential Geometry of Surface -- 5. Riemann Surface -- 6. Ricci Flow -- 7. Topological Algorithms -- 8. Harmonic Maps -- 9. Discrete Ricci Flow -- 10. Shape Analysis -- 11. Surface Diffeomorphism -- 12. Medical Imaging Applications -- 13. Computer Vision Applications -- 14. Computer Graphics Applications -- 15. Network Applications. .Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all the major theorems in surface Ricci flow by themselves. The authors adapt the Ricci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and surface registration, and demonstrate the power of Ricci flow in many applications in medical imaging, computer graphics, computer vision and wireless sensor network. Due to minimal pre-requisites, this book is accessible to engineers and medical experts, including educators, researchers, students and industry engineers who have an interest in solving real problems related to shape analysis and surface registration. .SpringerBriefs in mathematics.Ricci flowEvolution equationsRicci flow.Evolution equations.516.362Zeng Weiauthttp://id.loc.gov/vocabulary/relators/aut1058661Gu Xianfeng DavidMiFhGGMiFhGGBOOK9910438029703321Ricci Flow for Shape Analysis and Surface Registration2501420UNINA