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Communication Dans Un Congrès Année : 2011

On the infinity Laplacian Equation on Graph with Applications to image and Manifolds Processing

Résumé

In this paper, an adaptation of the infinity laplacian equation to the case of weighted graph is proposed. Our approach is based on a family of discrete morphological local and nonlocal gradient on graphs expressed by partial difference equations. Our formulation generalize local and nonlocal configurations in the context of image processing and extend this equation to the processing any data that can be represented by a graph in any dimension. An example of applications will be given to illustrate the use of infinity-harmonic functions for local and nonlocal inpainting.
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Dates et versions

hal-00808903 , version 1 (08-04-2013)

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  • HAL Id : hal-00808903 , version 1

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Abderrahim Elmoataz, Xavier Desquesnes, Zakaria Lakhdari, Olivier Lezoray. On the infinity Laplacian Equation on Graph with Applications to image and Manifolds Processing. International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, May 2011, r, Morocco. 7 p. ⟨hal-00808903⟩
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