VOLUME 7 NUMBER 1 (January to June 2014)

Philipp. Sci. Lett. 2014 7 (1) 97-103
available online: March 29, 2014

*Corresponding author
Email Address: marrick@math.upd.edu.ph
Received: December 18, 2013
Revised: February 11, 2014
Accepted: February 12, 2014

ARTICLE

Total variation-based image inpainting and denoising using a primal-dual active set method

Marrick Neri* and Esmeraldo Ronnie Rey Zara

Institute of Mathematics, University of the Philippines Diliman, Quezon City,
    Philippines

This paper presents a formulation of an l²-based variational model implementable in simultaneous image inpainting and Gaussian denoising. To solve the optimization problem, an active set method that utilizes generalized derivatives on the regularized L² TV-type problem and its dual problem is applied. A numerical study ends the paper.