Existence results for vector equilibrium problems and their applications
PhD thesis, Cadi Ayyad University (Marrakech), April 2001 Thesis.pdf (523k)
Motion Estimation via Multigrid Computation of Optical Flow For 2D and 3D Images & Cone Saddle Points
Habilitation thesis, Cadi Ayyad University (Marrakech), November 2007
Monographs
Multilevel Optimization for Dense Motion Estimation
El Mostafa Kalmoun, Azizan Shaaban, Haslinda Ibrahim, Razamin Ramlia and Zurni Omar
Monograph Series on Applied Mathematics, UUM Press, 2012
ISBN 978-967-0474-27-4
Articles & Chapters
Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming
Mohsine Jennane, El Mostafa Kalmoun and Lafhim Lahoussine
RAIRO Operations Research (2020), https://doi.org/10.1051/ro/2020066
Numerical computation of Mityuk’s function and radius for circular-radial slit domains
El Mostafa Kalmoun, Mohamed M.S. Nasser and Matti Vuorinen
Journal of Mathematical Analysis and Applications 490 No 2 (2020), 124328 https://doi.org/10.1016/j.jmaa.2020.124328
The motion of a point vortex in multiply connected polygonal domains
El Mostafa Kalmoun, Mohamed M S Nasser and Khalifa A. Hazaa
Symmetry 12 No 7 (2020), 1175 https://doi.org/10.3390/sym12071175
On local quasi efficient solutions for nonsmooth vector optimization
Mohsine Jennane, Lhoussain El Fadil and El Mostafa Kalmoun
Croatian Operational Research Review 11 No 1 (2020), 1-10 https://doi.org/10.17535/crorr.2020.0001
Magnetized Darcy-Forchheimer Stagnation Point Flow of Micropolar Ferrosoferric Oxide Fluid with Velocity Slip and Convective Boundary Condition
M. Ijaz Khan, Seifedine Kadry, Yu-Ming Chu, El Mostafa Kalmoun and Zulfiqar
Ali
Journal of Magnetics 25 No 2 (2020), pp. 307-312 https://doi.org/10.4283/JMAG.2020.25.2.307
Application of integral equations to simulating local fields in carbon nanotube reinforced composites
Mohamed M.S. Nasser and El Mostafa Kalmoun
In Micro and Nano Technologies: 2D and Quasi-2D Composite and Nanocomposite Materials, Editors: Ross McPhedran, Simon Gluzman, Vladimir Mityushev, Natalia Rylko, Elsevier (2020) ISBN 9780128188194, pp. 233-248 https://doi.org/10.1016/B978-0-12-818819-4.00016-7
A new Tikhonov-TV regularization for optical flow computation
El Mostafa Kalmoun
Proc. SPIE 11373 (2020), 113732B. https://doi.org/10.1117/12.2557210
An investigation of smooth TV-like regularization in the context of the optical flow problem
El Mostafa Kalmoun
Journal of Imaging 4 No 2 (2018), 31 https://doi.org/10.3390/jimaging4020031
A Line Search Multilevel Truncated Newton Algorithm for Computing the Optical Flow
Luis Garrido and El Mostafa Kalmoun
Image Processing On Line, 4 (2015), pp. 124-138 Retrieve from IPOL
Trust Region versus Line Search for Computing the Optical Flow
El Mostafa Kalmoun and Luis Garrido
Multiscale Model. Simul., 11 No 3 (2013), pp. 890–906 (17 pages) Retrieve from SIAM
Line Search Multilevel Optimization as Computational Methods for Dense Optical Flow
El Mostafa Kalmoun, Luis Garrido, and Vicent Caselles
SIAM J. Imaging Sci. 4 (2011), pp. 695-722 (28 pages) Retrieve from SIAM
Developing an algorithm for triad design
Tareq M. Abu Saa, Haslinda Ibrahim and El Mostafa Kalmoun
Applied Mathematics Letters 25 (2012), No 11, pp. 1590-1595 Retrieve from ScienceDirect
Some new classes for triad design
Haslinda Ibrahim, Tareq Abu Saa and El Mostafa Kalmoun
Far East Journal of Mathematical Sciences 48 (2011), No 2, pp. 139-148
The MG/OPT algorithm for dense optical flow
El Mostafa Kalmoun, Luis Garrido, and Vicent Caselles
Proc. SPIE – The International Society for Optical Engineering 8009, 80093H (2011) Retireve from SPIE
3D optical flow computation using a parallel variational multigrid scheme with application to cardiac C-arm CT motion
El Mostafa Kalmoun, Harald Koestler und Ulrich Ruede
Image and Vision Computing 25, No 9 (2007), pp. 1482-1494 Retrieve from ScienceDirect
A Variational Multigrid Method for Computing the Optical Flow
El Mostafa Kalmoun and Ulrich Ruede
In:
Vision, Modelling and Visualization, Eds. T. Ertl, B. Girod, G.
Greiner, H. Niemann, H.-P. Seidel, E. Steinbach, R. Westermann,
Akademische Verlagsgesellschaft, Berlin (2003), pp. 577-584
From Deterministic to Random Vector Equilibrium Problems
El Mostafa Kalmoun
Journal of Nonlinear Convex Analysis 4, No 1 (2003), pp. 77-85
On Saddle Points of Multiobjective Functions
Kenji Kimura, Mostafa Kalmoun and Tamaki Tanaka
In: Multi-Objective Programming and Goal Programming: Theory & Applications, Eds. Tanino, Tanaka and Inuiguchi,
Adv. Soft Comput., Springer-Verlag (2003), p.p 177-182
On Some New KKM Theorems and related Applications
El Mostafa Kalmoun
Non-linear Functional Analysis and Applications 8, No 1 (2003), pp. 1-23
Some Types of Existence Theorems for Cone Saddle Points
Kenji Kimura, El Mostafa Kalmoun and Tamaki Tanaka
Nonlinear analysis and convex analysis, Vol. 1298 (2002), pp. 141-150
Some Deterministic and Random Vector Equilibrium Problems
El Mostafa Kalmoun
Journal of Mathematical Analysis and Applications 267, No. 1 (2002), pp. 62-75 Retrieve from ScienceDirect
On a new existence result for cone saddle point problems
Kenji Kimura, Mostafa Kalmoun and Tamaki Tanaka
Nonlinear analysis and convex analysis, Vol. 1246 (2002), pp. 156-164
Remarks on a new existence theorem for generalized vector equilibrium problems and its applications
El Mostafa Kalmoun, Hassan Riahi and Tamaki Tanaka
Nonlinear analysis and convex analysis, Vol. 1246 (2002), pp. 165-173
Topological KKM Theorems and Generalized Vector Equilibria on G-Convex Spaces with Applications
El Mostafa Kalmoun and Hassan Riahi
Proceedings of the American Mathematical Society 129 (2001), 1335-1348 Retrieve from Proc. AMS or Download PDF
On Ky Fan’s Minimax Inequalities, Mixed Equilibrium Problems and Hemivariational Inequalities
El Mostafa Kalmoun
Journal of Inequalities in Pure and Applied Mathematics 2 Issue 1 (2001), Article 12 Download PDF
On Vector Equilibrium Problems: Remarks on a General Existence Theorem and Applications
El Mostafa Kalmoun, Hassan Riahi and Tamaki Tanaka
Nihonkai Mathematical Journal 12 (2001), No. 2, pp. 149-164
Vector Equilibrium Problems as a Unified Approach
El Mostafa Kalmoun
In Non-linear Analysis and Convex Analysis, Eds. W. Takahashi and T. Tanaka
Yokohama Publishers, (2001), pp. 137-148
Technical Reports
Line Search Multilevel Optimization as Computational Methods for Dense Optical Flow
El Mostafa Kalmoun, Luis Garrido and Vicent Caselles
CRM Barcelona Publications, preprint no 973 (2010) 30 pages
Parallel multigrid computation of the 3D optical flow
El Mostafa Kalmoun, Harald Koestler and Ulrich Ruede
Erlangen: Friedrich-Alexander-Universitaet Erlangen-Nuernberg, Lehrstuhlbericht 04-4 (2004) 9 pages
A Variational Multigrid for computing the Optical Flow
El Mostafa Kalmoun and Ulrich Ruede
Erlangen: Friedrich-Alexander-Universitaet Erlangen-Nuernberg, Lehrstuhlbericht 03-4 (2003) 9 pages
Master/PhD Students
Mohsine Jeanane, Vector Optimization under Invexity Conditions. Co-supervision with Dr. El-Hussein El-Fadil, Sidi Mohamed Ben Abdellah University, Fes, In progress.
Abdallah Assim, Performance of some Models of Optical Flow Computation in a Sequence of Images. Master Thesis, Department of Mathematics, Faculty of Science, Cadi Ayyad University, 2005.
A. Badr, Development of a Rain Detection System for Driving Assistance. Engineering Diploma Thesis, National School of Applied Science, Marrakech, 2006 (in collaboration with PSI Laboratory, INSA Rouen, France).
Daffallah Ismail Shamboul Ahmed, Implementing the Total Quality Management and
Decision Support System in the Local Human Resource Development, Master Thesis,
Decision Sciences Program, College of Arts and Sciences, Universiti Utara Malaysia,
2011.
Fatimah Allami, Generalized Tikhonov regularization for ill-posed inverse problems,
Master Thesis, Department of Mathematics, King Khalid University, 2016.