S. Benalia, M. Hachama, “A nonlocal method for image shadow removal”, Computers and Mathematics with Applications, Volume 107, 1 February 2022, Pages 95-103.
Fractional calculus
Farid Chabane, Maamar Benbachir, Mohammed Hachama & Mohammad Esmael Samei, “Existence of positive solutions for p-Laplacian boundary value problems of fractional differential equations”, Boundary Value Problems, 2022, 65 (2022).
Intrinsic images
S. Benalia, M. Hachama, “A nonlocal method for image shadow removal”, Computers and Mathematics with Applications, Volume 107, 1 February 2022, Pages 95-103.
M. Hachama, B. Ghanem and P. Wonka, "Intrinsic Scene Decomposition from RGB-D images", In IEEE International Conference on Computer Vision (ICCV), 2015.
Schrodinger equation
In this project, we study the eigenvalue problem for Schrodinger equation with various potentials. We are interested in finding analytical solutions using Feynman path integral formalism.
H. Boukabcha, M. Hachama, A. Diaf, Ro-vibrational energies of the shifted Deng-Fan Oscillator potential with Feynman path integral formalism, Applied Mathematics and Computation 321 (2018) 121–129.
A. Amrouche, A. Diaf and M. Hachama, "Path integral treatment of the deformed Schioberg-type potential for some diatomic molecules", Canadian Journal of Physics 95 (1), 25-30, 2017.
A. Diaf and M. Hachama, "Arbitrary l-state solutions of the Feynman propagator for the Rosen-Morse Potential with a centrifugal term approximation", Journal of Physics: Conference Series 490, 2014.
A. Diaf and M. Hachama, "Feynman integral treatment of the Rosen-Morse Potential with a centrifugal term approximation", Canadian Journal of Physics.
Dynamic contrast
M. Hachama, A. Desolneux, and F. Richard, "A Bayesian Technique For Image Classifying Registration", IEEE Transactions on Image Processing, 2012.
Classifying registration
M. Hachama, A. Desolneux, C. Cuénod, and F. Richard. "A classifying registration technique for the estimation of enhancement curves of DCE-CT scan sequences". Medical Image Analysis,14(2) :185-194, 2010.
