Combinatorial Ricci Curvature and Laplacians for Image Processing

A new Combinatorial Ricci curvature and Laplacian operators for grayscale images are introduced and tested on 2D synthetic, natural and medical images. The effectiveness of the notions introduced herein, as compared with more classical methods, is shown by a variety of experimental results. Analogue...

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Bibliographic Details
Published in2009 2nd International Congress on Image and Signal Processing pp. 1 - 6
Main Authors Saucan, E., Wolansky, G., Appleboim, E., Zeevi, Y.Y.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2009
Subjects
Biomedical imaging
Computer graphics
Gray-scale
Image analysis
Image processing
Laplace equations
Mathematics
Medical tests
Solids
Ultrasonic imaging
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Summary:A new Combinatorial Ricci curvature and Laplacian operators for grayscale images are introduced and tested on 2D synthetic, natural and medical images. The effectiveness of the notions introduced herein, as compared with more classical methods, is shown by a variety of experimental results. Analogue formulae for voxels are also obtained. This novel approach is based upon more general concepts developed by R. Forman. Further applications, in particular a fitting Ricci flow, are discussed.
ISBN:1424441293
9781424441297
DOI:10.1109/CISP.2009.5304710