Combinatorial Ricci Curvature and Laplacians for Image Processing

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Mar 23, 2009
Emil Saucan, Eli Appleboilm, Gershon Wolansky, Yehoshua Y. Zeevi
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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.

* Proceedings of CISP'09, Vol. 2, 992-997, 2009  * 12 pages, 8 figures (some of the these may be of lesser quality than those in the Technical report version)  
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