Rebbani Faouzia, University Badji Mokhtar-Annaba (Algeria)

KAUST-IAMCS Workshop on Modeling and Simulation of Wave Propagation and Applications 2012

May 8-9, 2012

King Abdullah University of Science and Technology (KAUST)

Thuwal, Kingdom of Saudi Arabia

Deblurring Images via Partial Differential Equations

Authors:

• Rebbani Faouzia, University Badji Mokhtar-Annaba (Algeria)
• Boussetila Nadjib, University Badji Mokhtar-Annaba (Algeria)

Image deblurring is one of the fundamental problems in the field of image processing and computer vision. In this talk, we consider a fractional order backward heat conduction problem in two-dimensional space which is associated with a deblurring problem. The problem is seriously ill-posed. We propose some regularization method to solve the problem in the presence of noisy data, and obtain the optimal stability error estimation.