🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

Denoising and Inpainting of Images Using Tv-Type Energies: Theoretical and Computational Aspects


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

We discuss variational approaches towards the denoising of images and towards the image inpainting problem combined with simultaneous denoising. Our techniques are based on variants of the TV-model, but in contrast to this case a complete analytical theory is available in our setting. At the same time, numerical experiments illustrate the advantages of our models in comparison with some established techniques. Bibliography: 50 titles. Illustrations: 1 figure.

About the authors

M. Bildhauer

Universitӓt des Saarlandes

Author for correspondence.
Email: bibi@math.uni-sb.de
Germany, Fachbereich 6.1 Mathematik Postfach 15 11 50, Saarbrücken, D–66041

M. Fuchs

Universitӓt des Saarlandes

Email: bibi@math.uni-sb.de
Germany, Fachbereich 6.1 Mathematik Postfach 15 11 50, Saarbrücken, D–66041

J. Weickert

Mathematical Image Analysis Group Faculty of Mathematics and Computer Sciences, Saarland University

Email: bibi@math.uni-sb.de
Germany, Campus E1.7, Saarbrücken, D–66041

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2016 Springer Science+Business Media New York