Refereed journals

• G. Brouillette, M. Allili, T. Kaczynski, Multiparameter discrete Morse theory, Journal of Applied and Computational Topology (2024). https://doi.org/10.1007/s41468-024-00176-7.
• M. Allili, T. Kaczynski, C. Landi, and Filippo Masoni, Acyclic partial matchings for multidimensional persistence: algorithm and combinatorial interpretation, Journal of Mathematical Imaging and Vision 61 (2019), pp. 174-192.
• M. Allili, T. Kaczynski, and C. Landi, Reducing complexes in multidimensional persistent homology theory, Journal of Symbolic Computation 78 (2017), 61–75.
• M. Allili and D. Corriveau, A Global Reduction Based Algorithm for Computing Homology of Chain Complexes. Advances in Pure Mathematics 6 (2016), 113-137. doi: 10.4236/apm.2016.63010.
• M. Allili et al. Detecting Critical Regions in Multidimensional Data Sets. Journal of Computers and Mathematics with Applications 61 (2011), 499-512.
• M. Allili, D. Corriveau, S. Derivière, T. Kaczynski and A. Trahan. Discrete dynamical system framework for the topological study of lattice height data. Journal of Math. Imaging and Vision 28 (2) (2007), pp. 99-111.
• M. Allili, D. Corriveau. Topological Analysis of Shapes Using Morse Theory. Computer Vision and Image Understanding 105 (2007), pp. 188-199.
• R. Dedic, M. Allili, R. Lecomte, A. Benchakroun. Segmentation of Cardiac Images by the Force Field Driven Speed Term. International Journal of Biological and Life Sciences, Volume 3 (4) (2007), pp. 271-275.
• D. Ziou, M. Allili. Generating Cubical Complexes from Image Data and Computation of the Euler Number. Journal of Pattern Recognition, 35-12 (2002), pp. 2833-2839.
• M. Allili, T. Kaczynski. Geometric construction of a coboundary of a cycle. Journal of Discrete and Computational Geometry 25 (2001), pp. 125-140.
• M. Allili, T. Kaczynski. An Algorithmic approach to the construction of homomorphisms induced by maps in homology. Journal of Transactions of the American Mathematical Society 352 (2000) , pp. 2261-2281.
• M. Allili, T. Kaczynski. Stability of Index Pairs for Multivalued Flows. Nonlinear Analysis, Vol. 30:7 (1997), pp. 4113-4122.
• M. Allili, T. Kaczynski. Stability of Index Pairs for Flows. Proceedings of the Conference “Topological Methods in Differential Equations and Dynamical Systems” (Krakow, Przegorzaly, 1996), Univ. Iagel. Acta Math. No. 36 (1998), pp. 173-175.

Refereed conference papers

• M. Allili, T. Kaczynski, C. Landi, and F. Masoni, Algorithmic construction of acyclic partial matchings for multidimensional persistence, Discrete Geometry for Computer Imagery, eds. W.G. Kropatsch, N.M. Artner, I. Janusch, Proc. 20th IAPR Intl. Conf., DGCI2017 Vienna, Springer (2017), 375-387.
• M. Allili, L. Bentabet, Y. Chen. A Novel Topology Based Watershed Segmentation. Proc.18th International Conference on Information Science, Signal Processing and Applications (ISSPA) (IEEE) (2012), pp. 847-852.
• R. Dedic, M. Allili. A Novel Cooperative Approach for Cardiac PET Image Segmentation. Proc. 18th International Conference on Information Science, Signal Processing and Applications (ISSPA) (IEEE) (2012), pp. 34-39.
• R. Dedic, M. Allili, R. Lecomte. Unsupervised Cardiac PET Image Segmentation. Proc. 18th International Conference on Systems, Signals and Image Processing (IWSSIP) (IEEE) (2011), pp. 273-278.
• M. Allili, D. Corriveau, A. Villares. Exploring Height Fields: Interactive Visualization and Applications. Proc. Visualization and Data Analysis (2011), Vol. 7868, 78680B-1.
• M. Allili, D. Li, M.S. Allili. Digital Topology-based Method for the Topological Filtering of a Reconstructed Surface. Proc. Visualization and Data Analysis (2011), Vol. 7868, 78680U-1.
• M. Allili., M. Ethier, T. Kaczynski. Critical region analysis of scalar elds in arbitrary dimensions. Proc. SPIE-IS&T Electronic Imaging , Visualization and Data Analysis, Vol. 7530 (2010), 7530-7.
• D. Corriveau, M. Allili. Computing Homology: A Global Reduction Approach. S. Brlek, C. Reutenauer, and X. Provenal (Eds.): DGCI 2009, LNCS 5810 Springer (2009), pp. 313-324.
• R. Dedic, M. Allili, R. Lecomte, A. Benchakroun. Cardiac PET Image Segmentation by a Deformable Model with Force Field Driven Speed Term. Proc. Nuclear Science Symposium Conference Record NSS'08 (IEEE) (2008), pp. 4399-4402.
• R. Dedic, M. Allili. Intelligent topology preserving geometric deformable model. Proceedings of the 2nd International Conference on Computer Vision Theory and Applications VISAPP(1) (2007), pp 322-327.
• R. Dedic, M. Allili. Complete boundary detection of textured objects via deformable models. Proc. SPIE-IS&T Electronic Imaging , Vision Geometry XV, Vol. 6499 (2007), 64990H.
• S. Derdar, M. Allili, Djemel Ziou. Topological feature extraction using algebraic topology. Proc. SPIE-IS&T Electronic Imaging, Vision Geometry XV, Vol. 6499 (2007), 64990G.
• R. Dedic, M. Allili. A Deformable Model for Complete Boundary Detection. Proceedings of IEEE International Symposium on Industrial Electronics ISIE 2006, pp. 685-690.
• M. Allili, D. Corriveau. Descripteur topologique pour les formes basé sur la théorie de Morse. Proceedings of Congrès Reconnaissance des Formes et Intelligence Artificielle, RFIA 2006. Tours, France, January 2006.
• S. Derdar, M. Allili, D. Ziou. Image matching using algebraic topology. Proc. SPIE-IS&T Electronic Imaging , Vision Geometry XIV, Vol. 6066 (2006), 6066-21.
• M. Allili, B. Yang, L. Bentabet. A deformable model with topology analysis and adaptive clustering for boundary detection. Proc. SPIE-IS&T Electronic Imaging , Vision Geometry XIV, Vol. 6066 (2006), 6066-01.
• D. Corriveau, M. Allili, D. Ziou. Morse Connections Graph for Shape Representation. Proceedings Advanced Concepts for Intelligent Vision Systems ACIVS 2005, Lecture Notes in Computer Science 3708 Springer 2005, pp. 219-226.
• B. Yang, M. Allili. Geometric Deformable Models with Topology Analysis for Shape Modeling. Proceedings of Fifth IASTED International Conference VIIP 2005 (track: 480-253), pp. 660-665.
• M. Allili, D. Corriveau, D. Ziou. Efficient Topological Descriptor for Shape Representation. Proceedings of SPIE, Image Processing: Algorithms and Systems IV, vol. 5672, 2005, pp. 287-296.
• M. Allili, D. Corriveau, D. Ziou. Morse Homology Descriptors for Shape Characterization. International Conference on Pattern Recognition (ICPR 2004), vol. 4, 2004, pp 27-30.
• M.-F. Auclair-Fortier, D. Ziou, M. Allili. Global computational algebraic topology approach for diffusion. Proc. SPIE Int. Soc. Opt. Eng., vol. 5299, 357, 2004, pp. 357-368.
• D. Ziou, M. Allili. Image Modeling: new perspective for image processing and computer vision. Proc. SPIE Int. Soc. Opt. Eng., vol. 5299, 123, 2004, pp. 123-133.
• M. Allili, D. Ziou. Computational Homology Approach for Topology Descriptors and Shape Representation. Proceedings of International Conference on Image and Signal Processing (ICISP’2003), vol. 2, 2003, pp. 508-516.
• M.-F. Auclair-Fortier, D. Ziou, M. Allili. A Global CAT Approach for Graylevel Diffusion. 7th IEEE International Symposium on Signal Processing and its Applications (ISSPA 2003), vol. 1, 2003, pp. 453-456.
• M.-F. Auclair-Fortier, P. Poulin, D. Ziou, M. Allili. A Computational Algebraic Topology Approach for Diffusion Process. Proceedings of 3rd Workshop on Physics in Signal and Image Processing (PSIP 2003), 2003, pp. 77-80.
• M.-F. Auclair-Fortier, P. Poulin, D. Ziou, M. Allili. A Computational Algebraic Topology Model for the Deformation of Curves . Proceedings of 2nd International Workshop on Articulated Motion and Deformable Objects (AMDO 2002), vol. 2492, 2002, pp. 56-67.
• P. Poulin, M.-F. Auclair-Fortier, D. Ziou, M. Allili. A Physics Based Model for the Deformation of Curves: A CAT Approach. Joint International Symposium on GeoSpatial Theory, Processing and Applications Symposium of the ISPRS Commission IV, WG5, 2002.
• M.-F. Auclair-Fortier, P. Poulin, D. Ziou, M. Allili. A Computational Algebraic Topology Approach for Optical Flow . International Conference on Pattern Recognition (ICPR 2002), vol. 1, 2002, pp. 347-355.
• M. Allili, D. Ziou. Topological Feature Extraction in Binary Images. 6th IEEE International Symposium on Signal Processing and its Applications (ISSPA 2001), vol. 2, 2001, pp. 651-654.
• M. Allili, K. Mischaikow, A. Tannenbaum. Cubical Homology and the Topological Classification of 2D and 3D Imagery. IEEE International Conference on Image Processing (ICIP 2001), v 2, 2001, pp. 173-176.

Non-Refereed publications

• M. Allili, S. Day, O. Junge, and K. Mischaikow. A Rigorous Numerical Method for the Global Analysis of Infinite Dimensional Discrete Dynamical Systems. Preliminary Report, 2001.
• M. Allili. Une approche algorithmique pour le calcul de l’homologie de fonctions continues. Ph.D. Thesis, Université de Sherbrooke, 1999.