Faculty

Faculty

Photo of Dr. Madjid Allili

Dr. Madjid Allili

Full Professor

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Phone: 819-822-9600 ext. 2740

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Research

My research activities are in the areas of computational topology and imaging science. In the domain of computational topology, my research objectives are to develop efficient algorithms for

  • the computation of topological invariants and structures such as the homologies and cohomologies of spaces and maps, and
  • the computation, the characterization, and the representation of critical points and critical regions in scalar and vector fields by means of Morse theory and Conely index theory.

Topological invariants such as homology have been used recently in a wide variety of applications in domains such as dynamical systems, and image processing and recognition. In dynamics, typical problems are translated into problems in topology where invariants such as the Conley index are computed using homology algorithms. In digital image analysis, topological invariants are useful in shape description, indexation, and classification. Scalar and vector fields are used to represent data in different applications areas like geographic information systems and the charaterization of the critical points of the data constitutes a fundamental technique for the study of the important features of the data and its visualization. Other areas of applications include computer graphics, computer aided-design (CAD) and electrical engineering to name but a few. The necessity of improved algorithms for the computation of the structures mentionned above appears evident as new applications of computational topology arise in research for very large data sets. Although several algorithms and software packages have been developed for this purpose, there is still a lot of room for improvement as processing very large data sets is often very time and memory-consuming.

I currently supervise (and co-supervise with colleagues from the Université de Sherbrooke) a group of MSc and Ph.D. students working on these problems and on other problems directly related to computer vision such as shape description and recognition and segmentation using deformable models techniques. I am interested in expanding my research team and I welcome new students interested in working on these issues. I provide for my students an exciting research environment with lab facilities at Bishop’s University and at Université de Sherbrooke where I am a member of two research groups

  • The Imaging and Vision Group – MOIVRE (MOdélisation en Imagerie, Vision et RÉseaux de neurones), and
  • The Computational Topology Group – GRTC (Groupe de recheche en topologie computationnelle).

Publications

Computational Topology

  • M. Allili, D. Corriveau, S. Derivière, and T. Kaczynski. Detecting Critical Regions in Multidimensional Data Sets via the Conley Index Approach. Submitted (2008, 30 pages) .
  • 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, 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. Une approche algorithmique pour le calcul de l’homologie de fonctions continues. Ph.D. Thesis, Université de Sherbrooke, 1999.

Image Processing

  • R. Dedic, M. Allili. Adaptive Topology Preserving Deformable Model. Submitted (2008, 16 pages).
  • R. Dedic, M. Allili, R. Lecomte, A. Benchakroun. Segmentation of Cardiac Images by the Force Field Driven Speed Term . Accepted in Proceedings of CVISP 2008, Prague, Czech Republic July 25-27, 2008.
  • R. Dedic, M. Allili, R. Lecomte, A. Benchakroun. Segmentation of Cardiac Images by the Force Field Driven Speed Term . Accepted in Proceedings of 2008 Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC 2008), Dresden, Germany, October 19-25, 2008.
  • D. Li, M. Allili. A Digital Topology-based Method for the Topological Filtering of a Reconstructed Surface . Submitted (2008, 13 pages).
  • 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. 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 thé orie de Morse . Proceedings of Congr`es 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.
  • 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.-F. Auclair-Fortier, P. Poulin, D. Ziou, M. Allili. A Computational Algebraic Topology Model for the Deformation of Curves . Proceedings of 2nd International Workwhop 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 Computational Algebraic Topology 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.

Dynamical Systems

  • 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, 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.
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Dr. Layachi Bentabet

Full Professor – Department Chairperson

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Phone: 819-822-9600 ext. 2441

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Research

Dr. Bentabet’s research is concerned with the spatiotemporal modeling of the environment (segmentation, detection, and tracking) using multiple cameras. Scene modeling with multiple cameras is a relatively new problem in computer vision, but one that has gained increasing interest recently. This comes from the fact that the presence of multiple cameras is necessary not only to help solve hard computer vision problems but also to provide the conceptual framework in which 3d reconstruction is possible. Dr. Bentabet is especially interested in modeling the sensors fusion and decision making mechanisms in situations where sensors produce incomplete and ambiguous description of the scene. These situations are usually caused by high occlusion, changing illumination, and camera calibration problems. Dr. Bentabet will focus on the following problems:

  • Extraction of robust and reliable cues for objects modeling;
  • Combination of the extracted cues from each sensor into a single and overall representation using notions of Dempster-Shafer theory;
  • Development of robust decision making rules and quantification of the uncertainty.

The results of Dr. Bentabet’s project will provide the computer vision community with strong and alternative solutions to the sensors fusion problem. In addition, it will spur technology transfer to commercial applications, such as videoconference systems, surveillance, and activity monitoring.

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Dr. Stefan Bruda

Full Professor – Graduate Coordinator

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Phone: 819-822-9600 ext. 2374

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Prof. Lin Jensen

Senior Instructor

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Phone: 819-822-9600 ext. 2361

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Mr. Abdelmalek Khebli

Visiting Scholar

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Dr. Nelly Khouzam

Full Professor

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Phone: 819-822-9600 ext. 2414

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Dr. Tamie Salter

Lecturer

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Phone: 819-822-9600 ext. 2352

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Prof. Dimitri Vouliouris

Lecturer

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Phone: 819-822-9600 ext. 2352

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Dr. Shushan Zhao

Lecturer

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Phone: 819-822-9600 ext. 2352

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Research

Dr. Zhao’s research interests are in the areas of computer networks, communication networks, information security, theory and application of cryptography. He is also interested in object-oriented design and implementation of software systems, with abundant experience from the industry.

Publications

Journal Papers

  1. Shushan Zhao, Robert D. Kent and Akshai Aggarwal A Key Management and Secure Routing Integrated Framework for Mobile Ad-hoc Networks, Ad Hoc Networks, Elsevier, Volume 11, Issue 3, May 2013, Pages 1046-1061.
  2. Shushan Zhao, Akshai Aggarwal, Richard Frost and Xiaole Bai A Survey of Applications of Identity-Based Cryptography in Mobile Ad-Hoc Networks, Communications Surveys & Tutorials, IEEE, Volume PP Issue 99, pp. 1-21, ISSN: 1553-877X, March 2011.
  3. Shuping Liu, Shushan Zhao and Weirong Jiang A Framework for Security-Enhanced Peer-to-Peer Applications in Mobile Cellular Networks, Int’l J. of Communications Network and System Sciences, Volume 4 Issue 7, pp. 456-463, July 2011.
  4. Shushan Zhao and Akshai Aggarwal PAPA-UIC: A Design Approach and a Framework for Secure Mobile Ad-hoc Metworks, Security and Communication Networks, Special Issue: Security in Ad Hoc Networks and Pervasive Computing, JohnWiley and Sons, Volume 3 Issue 5, pp. 371-383, September-October 2010.
  5. Shushan Zhao and Jian Zhou The Realization of SFT3 in NOVELL Netware, J. New Tide in Information Technology (China), pp. 33-39, 1994-Jun.
  6. Jian Zhou and Shushan Zhao WINDOWS and Multi-task Operating Systems, J. New Tide in Information Technology (China), pp. 26-32, 1994-May.
  7. Shushan Zhao, A Foresight on Future Technological Developments of Radio Paging Systems, J. China Communications, pp. 3-5, 1999-Nov.

Conference Papers

  1. Shushan Zhao, Robert D. Kent, and Akshai Aggarwal A Key Management and Secure Routing Integrated Framework for Mobile Ad-hoc Networks, In Proc. Privacy, Security and Trust (2012), IEEE
  2. Shushan Zhao and Akshai Aggarwal Against mobile attacks inMobile Ad-hoc Networks, In Proc. Information Theory and Information Security (2010), IEEE.
  3. Shushan Zhao and Akshai Aggarwal General-purpose IdentityHiding Schemes for Ad-hoc Networks, In Proc. International Symposium on Intelligent Ubiquitous Computing (2009), IEEE.
  4. Shuping Liu, Jianwei Chen, Shushan Zhao and Fan Na, Peer-to-Peer Application in Mobile Cellular Systems, In Proc. 5th International Conference on Information Technology: New Generations (2008), IEEE.
  5. Shushan Zhao, Akshai Aggarwal, Shuping Liu and Huapeng Wu A Secure Routing Protocol in Proactive Security Approach forMobile Ad-hoc Networks, In Proc.Wireless Communications & Networking Conference (2008), IEEE.
  6. Shushan Zhao, Akshai Aggarwal and Robert D. Kent A Framework for Revocation of Proxy Certificates in a Grid, In Proc. 8th International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (2007), IEEE.
  7. Shushan Zhao, Akshai Aggarwal and Robert D. Kent PKI-Based Authentication Mechanisms in Grid Systems, In Proc. International Conterence on Networking, Architecture, and Storage (2007), IEEE.
  8. Shushan Zhao, Akshai Aggarwal and Shuping Liu Building Secure User-to-user Messaging Channels in Mobile Telecommunication Networks, In Proc. 7thWireless Telecommunications Symposium (2007), IEEE.
  9. Shushan Zhao, Daniel Jaskiewicz and Jouni Karvo A Deployment Tool for Public Safety Ad-hoc Networks, In Proc. 1st Communication System Software andMiddleware (2006), IEEE.
  10. Shushan Zhao, Jouni Karvo and Henri Koskinen Connectivity Enhancement in Deployable Ad-Hoc Networks with Moving Nodes, 15th ISTMobile & Wireless Communications Summit (2006), IST.
  11. Shushan Zhao, Ronja Addams-Moring and Markku Kekkonen Building Mobile Emergency Announcement Systems in 3G Networks, In Porc. IASTED Computer & Communication Networks (2005).
  12. Ronja Addams-Moring, Markku Kekkonen and Shushan Zhao A simple taxonomy for mobile emergency announcement systems, In Proc. 2nd ISCRAM(2005).

Technical Reports

  1. H. Aïache, J. M. Barceló, C. Blondia, A. Boukalov, L. Cerdà, P. D. Cleyn, J. Delaigle, J. García, X. Gonzalez, R. Guimaraes, D. Jaskiewicz, J. Karvo, E. Lara, J. Meessen, J. Morillo, A. Pascual, C. Parisot, A. Pérez-Neira, M. Realp, S. Romaszko, E. Santos, M. Voorhaen and S. Zhao, Specification of IP Stack for Advanced Ad Hoc Network, EU FP6-507572 Widens project, D3.1, 2004.
  2. H. Aïache, J. M. Barceló, C. Blondia, A. Boukalov, L. Cerdà, P. D. Cleyn, J. Delaigle, J. García, X. Gonzalez, R. Guimaraes, D. Jaskiewicz, J. Karvo, E. Lara, J. Meessen, J. Morillo, A. Pascual, C. Parisot, A. Pérez-Neira, M. Realp, S. Romaszko, E. Santos, M. Voorhaen and S. Zhao, Specification of Low Layer Interface – IP/MAC Mapping, EU FP6-507572 Widens project, D3.2, 2004.