Differential and Integral Equations

A gradient constraint variational approach to image reconstruction

Oana Carja

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


In this paper we propose a variational model for image restoration based on the minimization of a convex functional with a gradient constraint. This approach has a smoothing effect on the degraded image, as it does not allow rapid changes in the image content. We also consider the evolutionary model of the resulting nonlinear differential equation. Furthermore, we discuss the dual problem associated with the model and propose a numerical algorithm for approximating its solution.

Article information

Differential Integral Equations, Volume 22, Number 3/4 (2009), 285-301.

First available in Project Euclid: 20 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 49K20: Problems involving partial differential equations 49N15: Duality theory 46N10: Applications in optimization, convex analysis, mathematical programming, economics


Carja, Oana. A gradient constraint variational approach to image reconstruction. Differential Integral Equations 22 (2009), no. 3/4, 285--301. https://projecteuclid.org/euclid.die/1356019775

Export citation