The PhD topic concerns the mathematical characterization of textures. "Texture" is one of the main elements in modeling and synthesizing images. In the last two decades, several mathematical definitions of this phenomenon have been proposed from different formalisms. Among these formalisms, stochastic modeling has proven relevancy for texture analysis and synthesis and this justifies our interest for this approach , .
In stochastic texture modeling, it remains a room of research developments in order to propose models capturing the geometrical transformations operated by textures in image perception (rotation, scale modification, perpectives, etc.) , .
The notion of texture invariances will play a key role both in the statistical and geometric senses, in the research activities to be developed by the PhD candidate. The invariances are expected to derive from a unified framework and to make possible a reliable texture synthesis from invariance specifications.
The candidate will have the opportunity to conduct different excursions: 1) by investigating generalized statistical frameworks including geometry descriptions and 2) by testing the approaches proposed in the PhD research within an industrial context for TEM texture analysis (mobility periods at the public-sector research centre IFP Energies Nouvelles . The topic is convenient for a candidate seeking the proposal of mathematical characterizations for non-trivial deterministic and/or random fields. The candidate should also have interests for the application of the mathematical theory and skills in software developments (Matlab/Scilab, C/C++, python, etc.).The PhD location is at Annecy, near French Alps.
For more information, see:
Olivier ALATA, email@example.com,
Laboratoire Hubert Curien, UMR CNRS 5516,
Université Jean Monnet de Saint-Etienne,
18 Rue du Professeur Benoit Lauras – Bât. F, 42000 Saint-Etienne, France,
Abdourrahmane M. ATTO, Abdourrahmane.Atto@univ-savoie.fr
Laboratoire d’Informatique, Systèmes, Traitement de l’Information et de la Connaissance (LISTIC),
Université de Savoie,
BP 80439, 74944 Annecy-le-Vieux Cedex, France,
Maxime MOREAUD, firstname.lastname@example.org
IFP Energies nouvelles,
Direction Technologie, Informatique, et Mathématiques appliquées,
BP3 69390 SOLAIZE,
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 A. M. Atto and Y. Berthoumieu and P. Bolon, 2-Dimensional Wavelet Packet Spectrum for Texture Analysis, To appear in IEEE Transactions on Image Processing, 2013.
 O. Alata, C. Cariou, C. Ramananjarasoa and M. Najim, « Classification of rotated and scaled textures using HMHV spectrum estimation and the Fourier-Mellin Transform », in Proc. IEEE Int. Conf. Image Proc. (ICIP), Vol. I, MA3, pp53-56, Oct. 98, Chicago, USA, 1998.
 I.-U.-H. Qazi, O. Alata, J.-C. Burie, M. Abadi, C. Fernandez-Maloigne, Choice of a pertinent color space for color texture characterization using parametric spectral analysis, Pattern Recognition Vol. 44, No. 1, 2011
 M. Moreaud, D. Jeulin, V. Morard and R. Reval, TEM image analysis and modeling: application to boehmites nanoparticles, Journal of Microscopy, Vol. 245, Pt 2, pp. 186–199, 2012.