Combinatorial Ricci Curvature and Laplacians for Image Processing

Details Combinatorial Ricci Curvature and Laplacians for Image Processing Combinatorial Ricci Curvature and Laplacians for Image Processing

2009-03-23

arxiv.org/abs/0903.3676v1

Proceedings of CISP'09, Vol. 2, 992-997, 2009

Computer Science

Computer Vision and Pattern Recognition

12 pages, 8 figures (some of the these may be of lesser quality than those in the Technical report version)

Scientific paper

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.

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