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Combinatorial Ricci Curvature and Laplacians for Image Processing (0903.3676v1)
Published 23 Mar 2009 in cs.CV and cs.CG
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.