1.

Record Nr.

UNINA9910438029703321

Autore

Zeng Wei

Titolo

Ricci flow for shape analysis and surface registration : theories, algorithms and applications / / Wei Zeng, Xianfeng David Gu

Pubbl/distr/stampa

New York : , : Springer, , 2013

ISBN

1-4614-8781-1

Edizione

[1st ed. 2013.]

Descrizione fisica

1 online resource (xi, 139 pages) : illustrations (chiefly color)

Collana

SpringerBriefs in Mathematics, , 2191-8198

Disciplina

516.362

Soggetti

Ricci flow

Evolution equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"ISSN: 2191-8198."

"ISSN: 2191-8201 (electronic)."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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. .

Sommario/riassunto

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. .