1Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda, P.O. Box 3900, Kigali, Rwanda
2Division of Computational Mathematics, Department of Mathematics, Linköping University, SE–581 83 Linköping, Sweden
3Campus Norrköping, Linköping University, S-581 83, Norrköping, Sweden
*Corresponding Author: japhetniyo@gmail.com
Online published on 2 July, 2018.
A commonly occurring problem in image processing is the reconstruction of missing data, generally referred to as image inpainting and can be viewed as a 2D interpolation problem. In this paper we present an approach based on variational model to solve the inpainting problem. Previously the total variation model has been successfully used to solve inpainting problems. We introduce a variant of total variation model that includes a parameter q that controls the degree of smoothness of the reconstruction. The corresponding Euler-Lagrange equation is derived and the corresponding boundary value problem solved. Test examples show that the method works well.
Inpainting, Total Variation, Minimization, Text Removal
