Title: An inpainting result based on p-Laplace operator

Authors: Djaafer Mezhoud; Fatma Zohra Nouri; Pierre Spiteri

Addresses: Mathematical Modeling and Numerical Simulation Laboratory, Badji Mokhtar University, P.O. Box 12, Annaba 23000, Algeria ' Mathematical Modeling and Numerical Simulation Laboratory, Badji Mokhtar University, P.O. Box 12, Annaba 23000, Algeria ' IRIT-INP-ENSEEIHT, Toulouse Cedex, France

Abstract: In this paper, we propose an inpainting approach, involving a model of an incompressible Newtonian fluid, based on the nonlinear anisotropic p-Laplace diffusion. The proposed resolution algorithm transports automatically the information correction to the damaged part of the image. By numerical experimentations, we prove and illustrate the direct benefit and potentiality, by the performance and the improvement results, on inpainting for real and synthetic images.

Keywords: image processing; inverse problems; fluid dynamics; inpainting; p-Laplace operator; incompressible fluids.

DOI: 10.1504/IJCSM.2016.081681

International Journal of Computing Science and Mathematics, 2016 Vol.7 No.6, pp.554 - 567

Received: 30 Aug 2014
Accepted: 23 Aug 2015
Published online: 20 Jan 2017 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article