Combinatorial Ricci Curvature and Laplacians for Image Processing

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.

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

Cited by in corpus (2)

• Forman-Ricci flow for change detection in large dynamic data sets
• Ricci Curvature Based Volumetric Segmentation of the Auditory Ossicles