Proceedings of the 2nd International Conference on Advances in Computer Science and Engineering (CSE 2013)

Digital Riemannian Geometry and Its Application

Authors
Guohua Chen
Corresponding Author
Guohua Chen
Available Online July 2013.
DOI
https://doi.org/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.
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Proceedings
2nd International Conference on Advances in Computer Science and Engineering (CSE 2013)
Part of series
Advances in Intelligent Systems Research
Publication Date
July 2013
ISBN
978-90786-77-70-3
ISSN
1951-6851
DOI
https://doi.org/10.2991/cse.2013.63How to use a DOI?
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  -