A few words about my research

``Any problem which is non-linear in character, which involves more than one coordinate system (...) is likely to require considerations of topology and group theory for its solution. In the solution of such problems, classical analysis will frequently appear as an instrument in the small, integrated over the whole problem with the aid of topology or group theory.''
My Ph.D. thesis, supervised by Pr. Mohamed Daoudi and Dr. Jean-Philippe Vandeborre, dealt with 3D shape modeling using topology abstractions for Computer Graphics and Computer Vision. I designed algorithms for the computation of stable, invariant and expressive topological shape skeletons based on Reeb graphs and applied them in diverse problems such as shape interactive edition, animation reverse engineering, partial shape retrieval or modeling by example (see papers below). This work has been partially supported by the European Network of Excellence Delos No. 507618 and by the ANR (Agence Nationale de la Recherche) through MADRAS project (ANR-07-MDCO-015).
I recently slightly shifted the focus of my research to computational topology and its applications in scientific visualization. Still, my research interests deal with topology and geometry in general, and especially on how topology can enable the generalization of geometry analysis techniques, following the vision of the citation above.

Keywords: Computational topology, Morse theory, Reeb graphs, Contour trees, shape analysis and comparison.

Ph.D. Thesis

Reeb graph based 3D shape modeling and applications Julien Tierny Ph.D. Thesis, LIFL, USTL. October 2008. Committee: A. Baskurt, B. Lévy, C. Labit, A. Srivastava, S. Tison. Advisors: J.P. Vandeborre, M. Daoudi.

Book Chapters

3D Object Indexing Stefano Berretti, Mohamed Daoudi, Alberto del Bimbo, Tarik Filali-Ansary, Pietro Pala, Julien Tierny and Jean-Philippe Vandeborre Chapter of "3D Object Processing: Compression, Indexing and Watermarking". Ed. Wiley 2008.

International Journals

		Loop surgery for volumetric meshes: Reeb graphs reduced to contour trees Julien Tierny, Attila Gyulassy, Eddie Simon and Valerio Pascucci IEEE Transactions on Visualization and Computer Graphics, Proc. of IEEE VIS 2009. Volume 15(6): pp. 1177-1184, November 2009.. Videos, Paper.
		Partial 3D shape retrieval by Reeb pattern unfolding Julien Tierny, Jean-Philippe Vandeborre and Mohamed Daoudi Computer Graphics Forum, Eurographics Association, Ed. Blackwell. Volume 28(1): pp. 41-55, March 2009. Download software!
		Enhancing 3D Mesh Topological Skeletons with Discrete Contour Constrictions Julien Tierny, Jean-Philippe Vandeborre and Mohamed Daoudi The Visual Computer, International Journal of Computer Graphics, Ed. Springer. Volume 24(3): pp. 155-172, March 2008.

International Conferences

		Enabling Advanced Visualization Tools in a Web-Based Simulation Monitoring System Emanuele Santos, Julien Tierny, Ayla Khan, Brad Grimm, Lauro Lins, Juliana Freire, Valerio Pascucci, Claudio Silva, Scott Klasky, Roselyne Barreto, Norbert Podhorszki. IEEE eScience 2009, Oxford, UK, December 9-11, 2009. To Appear.
		A Topological Framework for the Interactive Exploration of Large Scale Turbulent Combustion Peer-Timo Bremer, Gunther Weber, Julien Tierny, Valerio Pascucci, Marcus Day, John Bell. IEEE eScience 2009, Oxford, UK, December 9-11, 2009. To Appear.
		Fast and precise kinematic skeleton extraction of 3D dynamic meshes Julien Tierny, Jean-Philippe Vandeborre and Mohamed Daoudi IEEE ICPR 2008, IEEE International Conference on Pattern Recognition, Tampa, Florida, USA, December 8-11, 2008.
		Reeb chart unfolding based 3D shape signatures Julien Tierny, Jean-Philippe Vandeborre and Mohamed Daoudi Eurographics 2007, Annual Conference of the European Association for Computer Graphics, short paper, Prague, Czech Republic, September 3-7, 2007. pp. 13-16.
		Topology driven 3D mesh hierarchical segmentation Julien Tierny, Jean-Philippe Vandeborre and Mohamed Daoudi IEEE Shape Modeling International 2007, IEEE International Conference on Shape Modeling and Applications, short paper, Lyon, France, June 13-15, 2007. pp. 215-220.
		3D Mesh Skeleton Extraction Using Topological and Geometrical Analyses Julien Tierny, Jean-Philippe Vandeborre and Mohamed Daoudi Pacific Graphics 2006, 14th Pacific Conference on Computer Graphics and Applications, Taipei, Taiwan, October 11-13, 2006. pp. 85-94.
		Invariant High-Level Reeb Graphs of 3D Polygonal Meshes Julien Tierny, Jean-Philippe Vandeborre and Mohamed Daoudi IEEE 3DPVT 2006, 3rd IEEE International Symposium on 3D Data Processing, Visualization and Transmission, Chapel Hill, North Carolina, USA, June 14-16, 2006. pp. 105-112.

International Invited Conferences

		Geometry flavored topological skeletons: Applications to shape handling, segmentation and retrieval Julien Tierny, Jean-Philippe Vandeborre and Mohamed Daoudi Second DELOS Conference on Digital Libraries, Pisa, Italy. December 2-7, 2007.
		3D Mesh Models: View-Based Indexing and Structural Analysis Mohamed Daoudi, Tarik Filali-Ansary, Julien Tierny and Jean-Philippe Vandeborre First DELOS Conference on Digital Libraries, Pisa, Italy, February 13-14, 2007. Lecture Notes in Computer Science. pp. 298-307.

Local Conferences (in French)

		Signatures de formes 3D par dépliage de cartes de Reeb Julien Tierny, Jean-Philippe Vandeborre et Mohamed Daoudi 12èmes Journées CORESA (COmpression et REprésentation des Signaux Audiovisuels), Montpellier, France, 8-9 Novembre 2007. pp. 242-246.
		Graphes de Reeb de Haut Niveau de Maillages Polygonaux 3D Julien Tierny, Jean-Philippe Vandeborre et Mohamed Daoudi 11èmes Journées CORESA (COmpression et REprésentation des Signaux Audiovisuels), Caen, France, 9-10 Novembre 2006. pp. 172-177.

Local Workshops (in French)

Analyse topologique et géométrique de maillages 3D pour l'extraction de squelette Julien Tierny, Jean-Philippe Vandeborre et Mohamed Daoudi 19th French Chapter of Eurographics - 19ème Journées de l'Association Française d'Informatique Graphique et de l'Association Chapitre Français d'Eurographics (AFIG), Bordeaux, France, 22-24 Novembre 2006. pp. 1-8.

Technical Reports

		Description, Matching and Retrieval by Content of 3D Objects Information Storage and Retrieval Task Members DELOS Research Activities - Information Society Technologies - ISBN 2-912335-22-1 pp. 49-51.
		A novel method for constructing meaningful Reeb graphs from PL functions over 2-manifolds Julien Tierny, Tarik Filali-Ansary and Jean-Philippe Vandeborre Rapport interne au Laboratoire d'Informatique Fondamentale de Lille (LIFL - UMR USTL/CNRS 8022) Ref. 05-2005, December 2005.