International Journal of Scientific Engineering and Technology
  • Year: 2018
  • Volume: 7
  • Issue: 3

A Variational Approach to Image Inpainting and Text Removal

  • Author:
  • Japhet Niyobuhungiro1,, Froduald Minani1, Fredrik Berntsson2, George Baravdish3
  • Total Page Count: 5
  • Page Number: 31 to 35

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.

Abstract

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.

Keywords

Inpainting, Total Variation, Minimization, Text Removal