Digital Riemannian Geometry and Its Application
Available Online July 2013.
- https://doi.org/10.2991/cse.2013.63How to use a DOI?
- Digital Riemannian geometry, Digital Finsler geometry, Digital Sobolev geometry, Image processing, Active contour models, Edge detection.
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Guohua Chen PY - 2013/07 DA - 2013/07 TI - Digital Riemannian Geometry and Its Application BT - 2nd International Conference on Advances in Computer Science and Engineering (CSE 2013) PB - Atlantis Press SN - 1951-6851 UR - https://doi.org/10.2991/cse.2013.63 DO - https://doi.org/10.2991/cse.2013.63 ID - Chen2013/07 ER -