Differential and Integral Equations
- Differential Integral Equations
- Volume 22, Number 3/4 (2009), 285-301.
A gradient constraint variational approach to image reconstruction
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.
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
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