Digital Riemannian Geometry and Its Application

DOI

10.2991/cse.2013.63How to use a DOI?

Keywords

Digital Riemannian geometry, Digital Finsler geometry, Digital Sobolev geometry, Image processing, Active contour models, Edge detection.

Abstract

The key characteristic of Riemannian geometry is Riemannian metric. The most important work for the discretion of Riemannian geometry is to seek a discret representation of Riemannian metric, which forms the foundation of digital Riemannian geometry. This paper initiated the conception of Digital Riemannian geometry which imposes a Riemannian metric on a rectangle grid to make them curved and induced a weighted distance on them. The main task of Digital Riemannian geometry is to obtain quantitative information about objects in pictures with the help of a discrete Riemannian metric defined on them.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Guohua Chen
PY  - 2013/07
DA  - 2013/07
TI  - Digital Riemannian Geometry and Its Application
BT  - Proceedings of the 2nd International Conference on Advances in Computer Science and Engineering (CSE 2013)
PB  - Atlantis Press
SP  - 281
EP  - 285
SN  - 1951-6851
UR  - https://doi.org/10.2991/cse.2013.63
DO  - 10.2991/cse.2013.63
ID  - Chen2013/07
ER  -