Combinatorial Ricci Curvature and Laplacians for Image Processing
| Autor: | Emil Saucan, Gershon Wolansky, Yehoshua Y. Zeevi, Eli Appleboim |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Computational Geometry (cs.CG)
FOS: Computer and information sciences Pure mathematics Pixel Combinatorial mathematics Computer Vision and Pattern Recognition (cs.CV) Mathematical analysis Computer Science - Computer Vision and Pattern Recognition Image processing computer.software_genre Grayscale Voxel Computer Science::Computer Vision and Pattern Recognition Computer Science - Computational Geometry Mathematics::Differential Geometry computer Laplace operator Ricci curvature Mathematics |
| DOI: | 10.48550/arxiv.0903.3676 |
| Popis: | 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. Comment: 12 pages, 8 figures (some of the these may be of lesser quality than those in the Technical report version) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|