Publications

International Journals

• Mohamed Lajili, Zakaria Belhachmi, Maher Moakher, Anis Theljan, Unsupervised deep learning for geometric feature detection and multilevel-multimodal image registration, Applied Intelligence, 2024. [DOI | http]

• Muhammad Alneimat, Maher Moakher, Nadir Djeddi, Shrideh Al-Omari, Numerical Solution of Fractional Model of Atangana-Baleanu-Caputo Integrodifferential Equations with Integral Boundary Conditions, Applied Mathematics E - Notes, 23:146–158, 2023. [ http ]

• Mohamed Lajili, Badreddine Rjaibi, Didier Auroux, and Maher Moakher, Edge detection from X‐ray tomographic data for geometric image registration, Mathematical Methods in the Applied Sciences, 46/6:6324–6358, 2023. [DOI | http]

• Mohamed Lajili, Badreddine Rjaibi, Anis Theljani, and Maher Moakher, Edge sketches for multi-modal image registration based on Blake–Zisserman type energy, Computational and Applied Mathematics, 41:315, 2022. [DOI | http]

• Nadia Chouaieb, Bruno Iannazzo, and Maher Moakher. Geometries on the cone of positive-definite matrices derived from the power potential and their relation to the power means. Linear Algebra and its Applications, 638:80-109, 2022. [DOI | http]

• Anis Theljani, Zakaria Belhachmi, Moez Kallel, and Maher Moakher. Combined Second and Fourth-Order PDEs Model and Associated Variational Problems for Geometric Images Inpainting and Denoising. CSIAM Trans. Appl. Math., 2:652-679, 2021. [DOI | http]

• Skander Belhaj, Fahd Hcini and Maher Moakher. A fast method for solving quasi-pentadiagonal Toeplitz linear systems and its application to the Lax-Wendroff scheme. Mathematics and Computers in Simulation, 188:77–86, 2021. [DOI | http]

• Hamdi Houichet, Anis Theljani and Maher Moakher, A nonlinear fourth-order PDE for image denoising in Sobolev spaces with variable exponents and its numerical algorithm, Computational and Applied Mathematics, 40:70, 2021. [DOI | http]

• Skander Belhaj, Fahd Hcini, Maher Moakher and Yulin Zhang. A fast algorithm for solving diagonally dominant symmetric quasi-pentadiagonal Toeplitz linear system. Journal of Mathematical Chemistry, 59:757–774, 2021. [DOI | http]

• Hamdi Houichet, Maher Moakher and Badreddine Rjaibi. Noise removal and edge detection in ultrasound images by the topological gradient method. New Trends in Mathematical Sciences, 7/4:421–440, 2019. [DOI | http]

• Hamdi Houichet, Anis Theljani, Badreddine Rjaibi and M. Moakher. A nonstandard higher-order variational model for speckle noise removal and thin-structure detection. Journal of Mathematical Study, 52/4: 394–424, 2019. [DOI | http]

• Anis Theljani, Zakaria Belhachmi and Maher Moakher. High-order anisotropic diffusion operators in spaces of variable exponents and application to image inpainting and restoration problems. Nonlinear Analysis: Real World Applications, 47:251–271, 2019. [DOI | http]

• Houssem Haddar, Marwa Kchaou, and Maher Moakher. The derivation of homogenized diffusion kurtosis models for diffusion MRI. Journal of Magnetic Resonance, 298:48–57, 2019. [DOI | http]

• Skander Belhaj, Haythem Ben Kahla, Marwa Dridi, and Maher Moakher. Blind image deconvolution via Hankel based method for computing the GCD of polynomials. Mathematics and Computers in Simulation. 144:138--152, 2018. [DOI | http]

• Makrem Arfaoui, Mohamed Rafik Ben Hassine, Maher Moakher , Yves Renard, Grégory Vial. Multi-scale asymptotic expansion for a small inclusion in elastic media. Journal of Elasticity. 131(2):207–237, 2018. [DOI | http]

• Anis Theljani, Zakaria Belhachemi, Moez Kallel and Maher Moakher. A multiscale fourth-order model for the image inpainting and low-dimensional sets recovery. Mathematical Methods in the Applied Sciences, 40(10):3637--3650, 2017. [DOI | http]

• Khaled Alyani, Marco Congedo, and Maher Moakher. Diagonality Measures of Hermitian Positive-Definite Matrices with Application to the Approximate Joint Diagonalization Problem. Linear Algebra and its Applications, 528:290--320, 2017. [DOI | http]

• Zakaria Belhachmi, Moez Kallel, Maher Moakher, and Anis Theljani. Weighted Harmonic and Complex Ginzburg-Landau Equations for Gray Value Image Inpainting. International Journal of Numerical Analysis and Modeling. 13(5), 782--801, 2016 [http].

• Marco Congedo, Bijan Afsari, Alexandre Barachant, and Maher Moakher. Approximate joint diagonalization and geometric mean of symmetric positive definite matrices. PLoS ONE, 10:e0121423, 2015. [DOI | http]

• Moez Kallel, Maher Moakher, and Anis Theljani. The Cauchy problem for a nonlinear elliptic equation: Nash-game approach and application to image inpainting. Inverse Problems and Imaging, 9(3):853--874, 2015. [DOI | http]

• Amine Abdelmoula, Maher Moakher, and Bernard Philippe. A Slepian framework for the inverse problem of equivalent gravitational potential generated by discrete point masses. Inverse Problems in Science and Engineering, 23(2):331--350, 2015. [DOI | http]

• Mourad Chamekh, Saloua Mani-Aouadi, and Maher Moakher. Stability of elastic rods with self-contact. Computer Methods in Applied Mechanics and Engineering, 279:227--246, 2014. [DOI | http]

• Saber Amdouni, Maher Moakher, and Yves Renard. A stabilized Lagrange multiplier method for the enriched finite-element approximation of Tresca contact problems of cracked elastic bodies. Computer Methods in Applied Mechanics and Engineering, 270:178--200, 2014. [DOI | http]

• Moez Kallel, Rajae Aboulaich, Abderrahmane Habbal, and Maher Moakher. A Nash-game approach to joint image restoration and segmentation. Applied Mathematical Modelling, 38(11–12):3038--3053, 2014. [DOI | http ]

• Saber Amdouni, Maher Moakher, and Yves Renard. A local projection stabilization of fictitious domain method for elliptic boundary value problems. Applied Numerical Mathematics, 76:60--75, 2014. [DOI | http ]

• Saber Amdouni, Khalil Mansouri, Yves Renard, Makrem Arfaoui, and Maher Moakher. Numerical convergence and stability of mixed formulation with X-FEM cut-off. European Journal of Computational Mechanics, 21(3-6):160--173, 2012. [DOI | http ]

• Saber Amdouni, Patrick Hild, Vanessa Lleras, Maher Moakher, and Yves Renard. A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies. ESAIM: M2AN, 46(4):813--839, 2012. [DOI | http ]

• Zeineb Chebbi and Maher Moakher. Means of Hermitian positive-definite matrices based on the log-determinant α-divergence function. Linear Algebra and its Applications, 436(7):1872--1889, 2012. [DOI | http ]

• Maher Moakher and Mourad Zéraï. The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data. Journal of Mathematical Imaging and Vision, 40(2):171--187, 2010. [DOI | http]

• Filip Lankaš, Nada Špačková, Maher Moakher, Purevjav Enkhbayar, and Jiri Šponer. A measure of bending in nucleic acids structures applied to A-tract DNA. Nucleic Acids Research, 38(10):3414--3422, 2010. [DOI | http]

• Filip Lankas, Oscar Gonzalez, Leesa M. Heffler, Gauthier Stoll, Maher Moakher, and John H. Maddocks. On the parameterization of rigid base and basepair models of DNA from molecular dynamics simulations. Phys. Chem. Chem. Phys., 11:10565--10588, 2009. [DOI | http]

• Mourad Chamekh, Saloua Mani-Aouadi, and Maher Moakher. Modeling and numerical treatment of elastic rods with frictionless self-contact. Computer Methods in Applied Mechanics and Engineering, 198(47-48):3751--3764, 2009. [DOI | http]

• Richard Lavery, Maher Moakher, John H. Maddocks, Daiva Petkeviciute, and Krystyna Zakrzewska. Conformational analysis of nucleic acids revisited: Curves+. Nucleic Acids Research, 37(17):5917--5929, 2009. [DOI | http]

• Ibrahim Trabelsi, Maher Moakher, Cendrine Gatumel, and Henri Berthiaux. An algebraic condition and an algorithm for the internal contact between two ellipsoids. Engineering Computations, 26(6):635--644, 2009. [DOI | http]

• Aurobrata Ghosh, Rachid Deriche, and Maher Moakher. Ternary quartic approach for positive 4th order diffusion tensors revisited. In IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2009. ISBI '09, pages 618--621, June 2009. [DOI ]

• Maher Moakher. Fourth-order Cartesian tensors: old and new facts, notions and applications. The Quarterly Journal of Mechanics and Applied Mathematics, 61(2):181--203, 2008. [DOI | http]

• Maher Moakher and Andrew N. Norris. The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry. Journal of Elasticity, 85(3):215--263, 2006. [DOI | http]

• Maher Moakher. On the averaging of symmetric positive-definite tensors. Journal of Elasticity, 82(3):273--296, 2006. [DOI | http]

• Maher Moakher. A differential geometric approach to the geometric mean of symmetric positive-definite matrices. SIAM Journal on Matrix Analysis and Applications, 26(3):735--747, 2005. [DOI | http]

• Philip G. Batchelor, Maher Moakher, David Atkinson, Fernando Calamante, and Alan Connelly. A rigorous framework for diffusion tensor calculus. Magnetic Resonance in Medicine, 53(1):221--225, 2005. [DOI | http]

• Maher Moakher and John H. Maddocks. A double-strand elastic rod theory. Archive for Rational Mechanics and Analysis, 177(1):53--91, 2005. [DOI | http ]

• Maher Moakher. Means and averaging in the group of rotations. SIAM Journal on Matrix Analysis and Applications, 24(1):1--16, 2002. [DOI | http]

• Maher Moakher, Troy Shinbrot, and Fernando J. Muzzio. Experimentally validated computations of flow, mixing and segregation of non-cohesive grains in 3d tumbling blenders. Powder Technology, 109(1–3):58--71, 2000. [DOI | http]

• Troy Shinbrot, Albert Alexander, Maher Moakher, and Fernando J. Muzzio. Chaotic granular mixing. Chaos, 9(3):611--620, 1999. [DOI | http]

• Carolyn Wightman, Maher Moakher, Fernando J. Muzzio, and Otis Walton. Simulation of flow and mixing of particles in a rotating and rocking cylinder. AIChE Journal, 44(6):1266--1276, 1998. [DOI | http]

• Sergey Asvadurov, Bernard D. Coleman, Richard S. Falk, and Maher Moakher. Similarity solutions in the theory of curvature driven diffusion along planar curves: I. symmetric curves expanding in time. Physica D: Nonlinear Phenomena, 121(3–4):263--274, 1998. [DOI | http]

• Bernard D. Coleman, Richard S. Falk, and Maher Moakher. Space–time finite element methods for surface diffusion with applications to the theory of the stability of cylinders. SIAM Journal on Scientific Computing, 17(6):1434--1448, 1996. [DOI | http]

• Bernard D. Coleman, Richard S. Falk, and Maher Moakher. Stability of cylindrical bodies in the theory of surface diffusion. Physica D: Nonlinear Phenomena, 89(1-2):123--135, 1995. [DOI | http]

Chapters in Books

• Maher Moakher and Peter J. Basser. Visualization and Processing of Higher Order Descriptors for Multi-Valued Data, chapter Fiber Orientation Distribution Functions and Orientation Tensors for Different Material Symmetries, pages 37--71. Springer International Publishing, Cham, 2015. [DOI | http ]

• Malek Charfi, Zeineb Chebbi, Maher Moakher, and Baba C. Vemuri. Geometric Science of Information: First International Conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings, chapter Using the Bhattacharyya Mean for the Filtering and Clustering of Positive-Definite Matrices, pages 551--558. Springer Berlin Heidelberg, Berlin, Heidelberg, 2013. [DOI | http ]

• Maher Moakher. New Developments in the Visualization and Processing of Tensor Fields, chapter Divergence Measures and Means of Symmetric Positive-Definite Matrices, pages 307--321. Springer Berlin Heidelberg, Berlin, Heidelberg, 2012. [DOI | http ]

• Maher Moakher. Visualization and Processing of Tensor Fields: Advances and Perspectives, chapter The Algebra of Fourth-Order Tensors with Application to Diffusion MRI, pages 57--80. Springer Berlin Heidelberg, Berlin, Heidelberg, 2009. [DOI | http ]

• Mourad Zéraï and Maher Moakher. Scale Space and Variational Methods in Computer Vision: First International Conference, SSVM 2007, Ischia, Italy, May 30 - June 2, 2007. Proceedings, chapter Riemannian Curvature-Driven Flows for Tensor-Valued Data, pages 592--602. Springer Berlin Heidelberg, Berlin, Heidelberg, 2007. [DOI | http ]

• Maher Moakher and Philipp G. Batchelor. Visualization and Processing of Tensor Fields, chapter Symmetric Positive-Definite Matrices: From Geometry to Applications and Visualization, pages 285--298. Springer Berlin Heidelberg, Berlin, Heidelberg, 2006. [DOI | http ]

• Bernard D. Coleman, Richard S. Falk, and Maher Moakher. Trends in Applications of Mathematics to Mechanics, chapter Diffusion in axially symmetric surfaces, pages 99--111. CRC Press, 1995. [ http ]

Conference Proceedings

• Kais Hariz, Hachem Kadri, Stephane Ayache, Maher Moakher and Thierry Artieres.  Implicit Regularization in Deep Tucker Factorization: Low-Rankness via Structured Sparsity, In: Proceedings of the International Conference on Machine Learning, PMLR 238, pages 2359-2367, 2024.

• Kais Hariz, Hachem Kadri, Stephane Ayache, Maher Moakher and Thierry Artieres. Implicit Regularization with Polynomial Growth in Deep Tensor Factorization, In: Proceedings of the 39th International Conference on Machine Learning, PMLR 162, pages 8484-8501, 2022.

• Makek Charfi, Zeineb Chebbi, Maher Moakher, and Baba C. Vemuri. Bhattacharyya median of symmetric positive-definite matrices and application to the denoising of diffusion-tensor fields. In: IEEE 10th International Symposium on Biomedical Imaging, pages 1227--1230, 2013.

• Amine Abdelmoula, Maher Moakher, and Bernard Philippe. Localized spectral analysis for an inverse problem in geodesy. In: E. Badouel, A. Sbihi, and M. Assogba, editors, Proceedings of CARI'08, pages 369--376, 2013.

• Maher Moakher. A Riemannian framework to the averaging, smoothing and interpolation of some matrix-valued data. In: Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, pages 1720--1729, Kyoto, Japan, 2006.

• Maher Moakher. A Riemannian framework for the averaging, smoothing and interpolation of constrained data. In: Proceedings of the third conference on Inverse Problems, Control and Shape Optimization, pages 119--126, Nice, France, 2006.

• Brahim Trabelsi and Maher Moakher. An efficient algorithm for discrete element simulation of granular mixing of ellipsoidal grains. In: Proceedings of the First Euromediterranean Symposium on Advances in Geomaterials and Structures, pages 77--81, Hammamet, Tunisia, 2006.

• Mourad Chamekh, Saloua Mani-Aouadi, and Maher Moakher. A consistent finite-element approximation for the large displacements of hyperelastic rods. In: Proceedings of the First Euromediterranean Symposium on Advances in Geomaterials and Structures, pages 375--379, Hammamet, Tunisia, 2006.

• Maher Moakher. Discrete element simulations of granular flow, mixing and segregation inside tumbling blenders. In: M. Deville and R. Owens, editors, Proceedings of the 16th IMACS World Congress, Lausanne, Switzerland, 2000.

Theses

• On Some Mathematical Problems from Continuum Models and Discrete Systems, Habilitation dissertation, ENIT, 2005.

• Analysis and Numerical Studies of Curvature-Driven Surface Diffusion, Ph.D. dissertation, Rutgers University, 1995. (Advisors: B. D. Coleman and R. S. Falk)

• Calcul des Voiles et Planchers par la Méthode des Eléments Finis, Projet de Fin d'Etudes, ENIT, 1991. (Advisors: M. Jaoua and J. Guarrigues)

Co-editor

• Proceedings of the Fifth Conference on Trends in Applied Mathematics in Tunisia, Algeria and Morocco (TAMTAM'11), Sousse, Tunisia, 2011, (with M. Hassine).

• Proceedings of the Fourth International Conference on Inverse Problems, Control and Shape Optimization (PICOF'08), Marrakesh, Morocco, 2008, (with M. El Alaoui Talibi and J. Henry).

• Proceedings of the Second Conference on Trends in Applied Mathematics in Tunisia, Algeria and Morocco (TAMTAM'05), Tunis, Tunisia, 2005, (with N. Gmati and M. Jaoua).