Combinatorial Ricci Curvature and Laplacians for Image Processing
Computer Vision and Pattern Recognition
2010-05-12 v1 Computational Geometry
Abstract
A new Combinatorial Ricci curvature and Laplacian operators for grayscale images are introduced and tested on 2D synthetic, natural and medical images. Analogue formulae for voxels are also obtained. These notions are based upon more general concepts developed by R. Forman. Further applications, in particular a fitting Ricci flow, are discussed.
Cite
@article{arxiv.0903.3676,
title = {Combinatorial Ricci Curvature and Laplacians for Image Processing},
author = {Emil Saucan and Eli Appleboilm and Gershon Wolansky and Yehoshua Y. Zeevi},
journal= {arXiv preprint arXiv:0903.3676},
year = {2010}
}
Comments
12 pages, 8 figures (some of the these may be of lesser quality than those in the Technical report version)