8 citations · 12 across the 3 of their papers we have counts for
3 papers
math.NA2014
Adapted Basis for Non-Local Reconstruction of Missing Spectrum
Antonin Chambolle, Khalid Jalalzai
The object of this work is to design an adequate regularization for the problem of recovering missing Fourier coefficients, particularly in some non standard situations were low fr…
math.NA2014★ 4 cited
Some remarks on the staircasing phenomenon in total-variation based image denoising
Khalid Jalalzai
This paper deals with the so-called staircasing phenomenon, which frequently arises in total variation based denoising models in image analysis. We prove in particular that stairca…
math.OC2014★ 8 cited
Discontinuities of the minimizers of the weighted or anisotropic total variation for image reconstruction
Khalid Jalalzai
The study of the regularity of the minimizer of the weighted anisotropic total variation with a general fidelity term is at the heart of this paper. We generalized some recent resu…