Preprints

2019

• A Convex functional for super-resolution and regularization of Lines in Images, K. Polisano, L. Condat, M. Clausel, V. Perrier, SIAM Imaging Sciences, vol. 12, no. 1, pp. 211-258,(2019).
•  Riesz-based orientation of localizable Gaussian fields., K. Polisano, M. Clausel, V. Perrier, , L. Condat,  Applied and Computational Harmonic Analysis, to appear (2019).

 

2018

•  Scatter imaging and radar: dual reconstruction problems, R. Clackdoyle, H. Nguyen, V. Perrier, L. Desbat2018 IEEE Nuclear Science Symposium and Medical Imaging Conference Proceedings (NSS/MIC), Nov 2018, Sydney, Australia, pp.1-6, 2018.

 

2017

·       A new construction of interpolatory interpolating wavelets for fourth order problems, S. Bertoluzza, V. Perrier, Acta Applicandae Mathematicae,  152(1), 33--56 (2017).

·       A novel fast Fourier Transform accelerated off-grid search method for cryo-electron microscopy fitting, A. Hoffmann, S. Grudinin, Journal of Applied Crystallography. 50,  1036—1047 (2017). 

2016

• On locality of Radon to Riesz transform, L. Desbat, V. Perrier, Signal Processing, 120, 13—25 (2016).
• Convex Super-Resolution Detection of Lines in Images, K. Polisano, L. Condat, M. Clausel, V. Perrier, IEEE 24th European Signal Processing Conference (EUSIPCO 2016), 336-340, Aug 2016, Budapest.

2015

• The Monogenic Synchrosqueezed Wavelet Transform: A tool for the Decomposition/Demodulation of AM-FM images, M. Clausel, T. Oberlin, V. Perrier, Applied and Comp. Harmonic Analysis, 39(3), 450-486 (2015).
• Divergence-free Wavelet Projection Method for Incompressible Viscous Flow, S. Kadri-Harouna, SIAM Multiscale Modeling and Simulation, 13(1), 399—422 (2015).
• Second-order synchrosqueezing transform or invertible reassignment, T. Oberlin, S. Meignen, IEEE Trans. on Signal Processing, 63(5), 1335—1344 (2015).
• Optimal Transport using HelmHoltz-Hodge decomposition and first order Primal-Dual Algorithm, M. Henry, E. Maitre, V. Perrier, IEEE International Conference on Image Processing (ICIP 2015), 4748—4752, Quebec City 27-30 Sept. 2015.

2014

• The Fourier-based Synchrosqueezing Transform, T. Oberlin, S. Meignen, IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2014), 315—319.
• Texture modeling by Gaussian fields with prescribed orientation, K. Polisano, M. Clausel, V. Perrier, L. Condat, IEEE International Conference on Image Processing (ICIP 2014), 6092—6095, Paris, 27-30 octobre 2014.
• Towards better digital pathology workflows: programming libraries for high-speed sharpness assessment of Whole Slide Images, D. Ameisen, C. Deroulers, V. Perrier, F. Bouhidel, M. Battistella, L. Legrès, A. Janin, P. Bertheau and J.-B. Yunès, Diagnostic Pathology 9 (supp. 1) : S23 (2014).

 

2013

• Effective construction of divergence-free wavelets on the square, S. Kadri Harouna, V. Perrier, J. of Computational and Applied Math, 240, 74--86 (2013).
• Stack or trash? Quality assessment of virtual slides, D. Ameisen, C. Deroulers, V. Perrier, J.-B. Yunès, F. Bouhidel, M. Battistella, L. Legrès, A. Janin, P. Bertheau, Diagnostic Pathology 8 (supp. 1) : S23 (2013).

2012

• On the Mode Synthesis in the Synchrosqueezing method, T. Oberlin, S. Meignen, V. Perrier,  In 20th European Signal Processing Conference, EUSIPCO 2012. Bucarest, Roumanie, août 2012. pages 1865–1869. IEEE, 2012.
• An Alternative Formulation for the Empirical Mode Decomposition, T. Oberlin, S. Meignen, V. Perrier, IEEE Trans. on Signal Proc, 60(5), 2236--2246 (2012).
• Helmholtz-Hodge Decomposition on [0,1]d by Divergence-free and Curl-free Wavelets, S. Kadri-Harouna, V. Perrier, Curves and Surfaces, proc of the 7th International Conference, Avignon, France, June 24-30, 2010, Boissonnat, J.-D.; Chenin, P.; Cohen, A.; Gout, C.; Lyche, T.; Mazure, M.-L.; Schumaker, L. (Eds.), Lecture Notes in Computer Science series, vol. 6920, springer, pp. 311-329 (2012).
• Phase field method for mean curvature flow with boundary constraints, E. Bretin, V. Perrier, ESAIM-Math. Model. Numer. Anal., 46(6) 1509-1526 (2012).
• À prendre ou à laisser ? Une évaluation automatique de la qualité des lames virtuelles en temps quasi-réel, D. Ameisen, C. Deroulers, V. Perrier, J.-B. Yunès, F. Bouhidel, M. Battistella, L. Legrès, A. Janin, P. Bertheau, Annales de Pathologie, 32(5S) S151--S152 (2012).

 

2011

• FBP and the Interior Problem in 2D Tomography, A. Bilgot, L. Desbat, V. Perrier,  2011 IEEE Nuclear Science Symposium and Medical Image Conference Record, http://www.nss-mic.org/2011/ConferenceRecord, 6 pages, 2011.
• Filtered backprojection method and the interior problem in 2D tomography, A. Bilgot, L. Desbat, V. Perrier, preprint  (2008)
• A PDE based and interpolation-free framework for modeling the sifting process in a continuous domain, E.H. S. Diop, R. Alexandre, V. Perrier, Adv. Comput. Math., Online First, 1 décembre 2011.

 

2009

• Orthogonal Helmholtz decomposition in arbitrary dimension using divergence-free and curl-free wavelets, E. Deriaz, V. Perrier, Applied and Computational Harmonic Analysis, 26(2), 249--269 (2009).

2008

• Direct Numerical Simulation of Turbulence using divergence-free wavelets, E. Deriaz, V. Perrier, SIAM Multiscale Modeling and Simulation 7(3) 1101--1129, (2008).
• Wavelet approximations of the Hamiltonian operator and computation of related energies, C. Chauvin, V. Perrier, RR- INRIA-00337464 (novembre 2008).

2007

• Using divergence-free and curl-free wavelets for the simulation of turbulent flows, E. Deriaz, V. Perrier, Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07), Zürich 2007 PAMM-Proc. Appl. Math. Mech. 7(1), 2100031--2100032 (2007).
• Décomposition de Helmholtz par ondelettes : convergence d'un algorithme itératif, E. Deriaz, K. Bittner, V. Perrier, ESAIM:PROC 18, J.F. Gerbeau & S. Labbé Editors, pp. 23-37 (2007).
• Divergence-free Wavelets for Coherent Vortex Extraction in 3D homogeneous isotropic turbulence, E. Deriaz, M. Domingues, V. Perrier, K. Schneider, M. Farge, CEMRACS 2005 - Computational Aeroacoustics and Computational Fluid Dynamics in Turbulent Flows, Marseille, France, July 18 - August 26, 2005, S. Salmon, E. Sonnendrücker, M. Dumbser and C.-D. Munz, Editors, ESAIM:PROC 16, pp. 146-163 (2007).
• Transformée en ondelettes continue directionnelle : applications en imagerie médicale, V. Perrier, A. Bilgot, O. Le Cadet, L. Desbat, ESAIM:PROC 18, J.F. Gerbeau & S. Labbé, Editors, pp. 216-228 (2007).
• A New Formulation for Empirical Mode Decomposition Based on Constrained Optimization, S. Meignen,V. Perrier, IEEE Signal Processing Letters,14 (12), 932--935, (2007).

2006

• Divergence-free and curl-free wavelets in 2D and 3D, application to turbulent flows, E. Deriaz, V. Perrier, J. of Turbulence, 7(3), 1--37 (2006).

2005

• The Mortar Wavelet Method : Implementation and Numerical Tests,(version publiée)  S. Bertoluzza, S. Falletta, V. Perrier, J. of Scientific Computing (2005).
• A Fast Algorithm for Bidimensional EMD, C. Damerval, S. Meignen, V. Perrier, IEEE Signal Processing Letters, 12(10), pp. 701-704 (2005).
• Edge detection and Classification in X-Ray images. Application to Interventional 3D-verterbra-shape reconstruction, A. Bilgot, O. Le Cadet, V. Perrier, L. Desbat, SURGETICA 2005 : Gestes médico-chirurgicaux assistés par ordinateur : outils et applications, pp. 459-467, Sauramps Medical, 2005.

2004

• Wavelets, Local Tomography and Interventional X-Ray Imaging, A. Bilgot, V. Perrier, L. Desbat, IEEE NSS/MIC2004 (Nuclear Science Symposium/Medical Image Conference), Rome, 5 pages, novembre 2004.
• Ondelettes et imagerie médicale,V. Perrier, O. Le Cadet, A. Bilgot, L. Desbat, Proceeding du CANUM 2004, Obernai, 2004.
• Ondelettes et imagerie médicale, V. Perrier, MATAPLI, bulletin spécial consacré aux prix d'informatique et de mathématiques appliquées décernés en 2003 par l'Académie de Sciences (2004).

2003

• Stable Feature Extraction Using Wavelet Filters for Texture Segmentation,  S. Meignen & V. Perrier, rapport de  recherche de IMAG, RR  1061-M-2003.

2002

• Texture segmentation using stable texture features,,  S. Meignen & V. Perrier, Proc. of the 5th Int. Conf. on Curves and Surfaces, Saint-Malo, A. Cohen, J.L. Merrien, L. Schumaker eds, T2, 313-322 (2002).
• Wavelet/FEM Coupling by the Mortar Method,  S. Bertoluzza, S. Falletta, V. Perrier, Lecture Notes in Comp. Sci. Ing., 119--132 (2002).

2001

• Couplage Ondelettes/éléments finis par la méthode MORTAR, S. Bertoluzza & V. Perrier, C.R.Acad.Sci.,t.332, Série 1, 845--850 (2001).
• The Mortar Method in the Wavelet Context, S. Bertoluzza & V. Perrier, ESAIM:M2AN 35(4), 647--673 (2001).

2000

• Fast Wavelet Iteratie Solvers applied to the Neumann Problem, R. Choquet & V. Perrier, Aerosp. Sci. Technol. 4, pp.135-145 (2000).

1999

• Multiplication of Short Wavelet Series Using Connection Coefficients, V. Perrier, & M. V. Wickerhauser, Advances in Wavelets, Ka-Sing Lau ed, Springer-Verlag, Singapore (1999)
• The Mortar Wavelet Method, S. Bertoluzza & V. Perrier, Proc. ENUMATH 99 (1999).

1998 

• Orthonormal Wavelet Bases adapted for Partial Differential Equations with boundary conditions, P. Monasse & V. Perrier, SIAM J. on Math. Analysis (29)4, pp 1040-1065 (1998).

1997

• A Dynamical Adaptive Concept Based on  Wavelet Packet Best Bases:Application to the Resolution of Convection-Diffusion PDEs, P. Joly, Y. Maday & V. Perrier, "Multiscale wavelet methods for PDEs", W. Dahmen, A. Kurdilla and P. Oswald (eds), Academic Press,  pp 199-235 (1997).

1996

• A Pseudo-Wavelet Scheme for the Two-Dimensional Navier-Stokes Equations, P. Charton & V. Perrier, Comp. Appl. Math. (15) 2, pp. 137-157 (1996).
• Besov norms in terms of the continuous wavelet transform . Application to structure functions, V. Perrier & C. Basdevant, M3AS  6(5), pp. 649-664 (1996).

< 1995

·Wavelet Spectra compared to Fourier Spectra, V. Perrier, T. Philipovitch & C. Basdevant, J. Math. Phys. 36(3),  pp.1506-1519 (1995).

 

·Ondelettes sur l'intervalle pour la prise en compte de conditions aux limites, P. Monasse & V. Perrier

 

· Produits rapides matrice-vecteur en bases d'ondelettes: application à la résolution numérique d'équations aux dérivées partielles, P. Charton & V.Perrier

 

· Factorisation sur bases d'ondelettes du noyau de la chaleur et algorithmes matriciels rapides associés, P. Charton & V.Perrier

 

· Adaptivité dynamique sur bases d'ondelettes pour l'approximation d'équations aux dérivées partielles, Y. Maday, V. Perrier, J.C. Ravel, t.310, Série I, 647--652 (1990)

 

    - Méthode des Ondelettes Mobiles, C. Basdevant, M. Holschneider, V. Perrier,  C.R.Acad.Sci.Paris, t.310, Série I, 647--652 (1990).

 

 

- Periodical wavelet analysis, a tool for inhomogeneous field investigation. Theory and algorithms, V. Perrier, & C. Basdevant, Rech. Aerosp, n. 1989-3 (1989).