.: Pierrick LEGRAND Home Page :.
	CICESE Km. 107 Tijuana-Ensenada Highway Ensenada Baja California, México Applied Physics Building Departement of Computer Science  Room 335 Phone (646)175-0500 Ext. 25402     INRIA ROCQUENCOURT Domaine de Voluceau BP 105 78153 Le Chesnay Cedex - France Equipe COMPLEX Téléphone : +33 1 39 63 55 52 Télécopie : +33 1 39 63 59 95 1-General Info 2-Curriculum Vitae 3-Teaching 4-Papers 5-Softwares

I'm actually working between the CICESE research center (Mexico) and INRIA (France). This work is part of the EvoVision group heading by Dr. Gustavo Olague Caballero (on the left on the picture) and the COMPLEX group heading by Evelyne Lutton.

Keywords:
Mathematics applied to signal enhancement, wavelets, fractals, fractal analysis, Hölderian regularity, Hölder exponents, estimation, regression, denoising, optimal rate of convergence, minimax, risk, interpolation, extrapolation, road/tyre friction, indenters, multi-scale, evolutionary algorithms, stereovision, classification, matching.
 

Curriculum Vitae

2005: Post-Doctorat at the CICESE Research Center, Ensenada, Mexico
Title: Applications in stereovision and in classification of evolutionary algorithms and fractal analysis.
Supervisors: Evelyne Lutton (INRIA Rocquencourt) and Gustavo Olague (CICESE)
Labs: CICESE Research Center, Ensenada, Mexico and INRIA Rocquencourt, Le Chesnay, France.

2001-2004: PhD  "Université de Nantes" and  "Ecole Centrale de Nantes"
speciality: "Automatique et Informatique appliquée", section: "Signal Processing"
Title: Denoising and interpolation by analysis of the Hölderian regularity. Application to the modeling of the road/tyre friction. (in French).
Issue: December 9, 2004, Ecole centrale de Nantes.
Supervisors: Jacques Lévy-Véhel (PhD thesis director) et Minh-Tan Do (co-supervisor)
Labs: IRCCyN, Institut de Recherche en Communication et Cybernetique de Nantes, Ecole Centrale de Nantes, France and
           LCPC, Laboratoire central des ponts et chaussées, Bouguenais, France
Jury:
Minh-Tan Do, Laboratoire central des ponts et chaussées,
route de Bouaye, BP 4129, 44341 Bouguenais Cedex.
Jacques Lévy-Véhel, Research director, INRIA,
78153, Le Chesnais cedex.
Jean-Marc Lina, Professor, Département de Génie Electrique (loc.2448), Ecole
de Technologie Supérieure, 1100, rue Notre-Dame, Montréal et Laboratoire PhysNum, Centre
de Recherches Mathématiques, Montréal.
Dominique Picard, Professor, Université Paris VII, UFR Mathématiques,
2, place Jussieu, 75250 Paris cedex 06.
Claude Tricot, Professor, Département de Mathématiques,
Université Blaise Pascal, 63177 Aubière Cedex.

2000-2001: Research Engineer
Topic: Fractal analysis of road profiles
Supervisors: Jacques Lévy-Véhel et Minh-Tan Do
Lab: IRCCyN, école centrale de Nantes

1999-2000 : MASTER in Automatic and Applied Informatic,
                   Section Signal Processing
Title: Denoising of Audio Data by fractal technics
Supervisor: Jacques Lévy-Véhel
Lab: IRCCyN, école centrale de Nantes.

1998-1999 : MASTER in Mathematics
                    Université de Nantes.

Teaching

Mathematics, Probability, Statistics
Signal Processing
Matlab

Published Papers

Fractal Properties and Characterization of Road Profiles,
P. Legrand, J. Lévy Véhel and M.-T. Do,
FRACTAL04, Complexity and Fractals in Nature, 8th International Multidisciplinary Conference,
April 4-7, 2004, Vancouver, Canada.
Signal and Image processing with FracLab,
J. Lévy Véhel, P. Legrand,
FRACTAL04, Complexity and Fractals in Nature, 8th International Multidisciplinary Conference,
April 4-7, 2004, Vancouver, Canada.
Local regularity-based image denoising,
P. Legrand, J. Lévy Véhel,
ICIP03, IEEE International Conference on Image Processing,
September 14-17, 2003, Barcelona, Spain.
Bayesian multifractal signal denoising,
J. Lévy Véhel, P. Legrand,
ICASSP03, IEEE International Conference on Acoustics, Speech, and Signal Processing,
April 6-10, 2003, Hong Kong.
Local regularity-based interpolation,
P. Legrand, J. Lévy Véhel,
WAVELET X, Part of SPIE’s Symposium on Optical Science and Technology, CA,
August 3-8, 2003, San Diego, proceedings of SPIE Vol. 5207.
Interpolation de signaux par conservation de la régularité Hölderienne,
P. Legrand, J. Lévy Véhel,
GRETSI03, 19 th GRETSI Symposium on Signal and Image Processing,
September 8-11, 2003, Paris.

Preprint

FracLab's user guide, Pierrick Legrand,  Jacques Levy-Vehel.
Denoising and Hölderian regularity, Pierrick Legrand,  Jacques Levy-Vehel.
Interpolation and Hölderian regularity, Pierrick Legrand,  Jacques Levy-Vehel.
Fractal Reduction, Pierrick Legrand.
Stereo Matching, Pierrick Legrand, Cesar Puente, Gustavo Olague, Evelyne Lutton.
Genetic Hölderian Denoising, Pierrick Legrand,  Gustavo Olague, Evelyne Lutton.
Genetic Hölderian interpolation, Pierrick Legrand,  Gustavo Olague, Evelyne Lutton.

Softwares

FracLab is a general purpose signal and image processing toolbox based on fractal and multifractal methods.
FracLab can be approached from two different perspectives :

Fractal analysis:
A large number of procedures allow to compute various fractal quantities associated with 1D or 2D signals, such as dimensions, Holder exponents or multifractal spectra.

Signal processing:
Alternatively, one can use Fraclab directly to perform many basic tasks in signal processing, including estimation, detection, denoising, modelling, segmentation,classification, and synthesis.

Download FracLab