Publications

1. E. Diop, O. Sarr, A. Sy and M. Mbow, " Variational Image Denoising based on Topological Optimization". Preprint

2. E. Diop, O. Sarr, S. Diop and A. Sy, "Multiplicative Noise Removal based on Variational Approach and Topological Optimization". Preprint

3. A. Mbengue, E. H. S. Diop, B. Manga and D. Seck, "Hopf-Lax-Oleinik Viscosity Solutions in the Affine Lie Group". Preprint

4.  E. H. S. Diop, A. Mgengue, B. Manga and D. Seck, "Hamilton-Jacobi Equations and Mathematical Morphology in Pseudo-Riemannian Manifolds". Preprint

5. E. H. S. Diop and O. Sarr, "Fractional Laplacian for Nonlinear Image Diffusion".  Preprint

6. E. H. S. Diop and O. Sarr, "Nonlinear Image Diffusion based on the Harmonic Extension".  Preprint

7. E. H. S. Diop, N. N. Gueye, Y. Préaux and A.- O. Boudraa, "Teager-Kaiser Analysis on Noisy Images".  Preprint

8. E. H. S Diop, V. Burdin and V. S. Prasath, "Note on the Existence of Minimizers for Variational Geometric Active Contours", ArXiv  preprint, arXiv:2210.12773, October 10, 2023.

9. E. H. S.  Diop, A. Ngom, and V. B. Prasath, "Signal Approximations Based on Nonlinear and Optimal Piecewise Affine Functions". Circuits Syst Signal Process, vol. 42, pp. 2366-2384, April 2023. 

10. E. H. S. Diop and K. Skretting, "Nonlinear Signal Decomposition Based on Block Sparse Approximation ", ICASSP'2022, pp. 5423-5427, Singapore, 23-27 May 2022.

11. E. Diop, A. Mbengue, B. Manga and D. Seck, "Extension of Mathematical Morphology in Riemannian spaces", SSVM'21, Virtual Event, May 16-20, 2021; LNCS, vol. 12679, pp. 100-111.

12. E. H. S. Diop and K. Skretting, "A block-based sparse approximation method for time-frequency signal analysis", submitted.

13. E. H. S. Diop, K. Skretting and A. O. Boudraa, "AM-FM Image Analysis based on Sparse Coding Frequency Separation Approach", EUSIPCO'2020, pp. 610-614, Amsterdam, NL, 18-22 January, 2021.

14. E. H. S. Diop and J. Angulo, "Inhomogeneous morphological PDEs for robust and adaptive image shock filters", IET Image Processing, vol. 14, issue 6, pp. 1035-1046, May 2020. 

15. E. H. S. Diop, A. O. Boudraa and S. Prasath, "Optimal nonlinear signal approximations based on piecewise constant functions", Circuits, Systems, and Signal Processing, vol. 39, pp. 2673-2694, May 2020. 

16. E. H. S. Diop, V. Burdin and V. S. Prasath, "Minimum existence of segmentation functional based on geometrical active contours and shape priors", (submitted). 

17. E.H.S. Diop, K. Skretting and A.O. Boudraa, "Multicomponent AM-FM signal analysis based on sparse approximation", IET Signal Processing, vol. 14, no. 1, pp. 32-43, February 2020. 

18. E. H. S. Diop and A. O. Boudraa, "Analyse de signaux AM-FM par approximation parcimonieuse [AM-FM signal analysis based on sparse approximation]". GRETSI’2019, Lille, 26-29 Août 2019. 

19. E. H. S. Diop and K. Skretting, "Frequency Separation based on Sparse Coding", IEEE ICASSP, pp. 5192-5196, Brighton, UK, 12-17 May, 2019. 

20. E. H. S. Diop and J. Angulo, "Levelings based on Spatially-Adaptive Scale-Spaces using Local Image Features", IET Image Processing, vol. 13, no. 10, pp. 1597-1607, August 2019.

21. E. H. S. Diop, R. Alexandre and A. O. Boudraa, "2D Curvature-based Analysis of Intrinsic Mode Functions", IEEE Signal Processing Letters, vol. 25, no. 1, pp. 20-24 , January 2018.

22. E. H. S. Diop and J. Angulo, "Multiscale Image Analysis based on Robust and Adaptive Morphological Scale-Spaces", Image Analysis & Stereology, pp. 101-112,vol. 34, March 2015.

23. E. H. S. Diop and R. Alexandre, "Analysis of Intrinsic Mode Functions based on Curvature Motion-like PDEs", 8th Intl' Conference on Curves and Surfaces, Paris, France, June 12-18, 2014, LNCS 9213, pp. 202–209, 2015

24. E. H. S. Diop, R. Alexandre and V. Perrier, "A PDE based and interpolation-free framework for modeling the sifting process in a continuous domain", Advances in Computational Mathematics, pp. 801-835, vol. 38, May 2013.

25. E. H. S. Diop and V. Burdin, "Bi-Planar Image Segmentation Based on Variational Geometrical Active Contours with Shape Priors", Medical Image Analysis, pp. 165-181, vol. 17, no. 2, February 2013.

26. E. H. S. Diop, R. Alexandre and L. Moisan, "Intrinsic Nonlinear Multiscale Image Decomposition: A 2D Empirical Mode Decomposition-like tool", Computer Vision and Image Understanding, pp. 102-119, vol. 116, no. 1, January 2012. 

27. E. H. S. Diop and J. Angulo, "Spatially Adaptive PDEs for Robust Image Sharpening", IEEE ICIP, pp. 949-952, Orlando, Florida, Sept. 30-Oct. 3, 2012.

28. E. H. S. Diop and J. Angulo, "Morphological Scale-Spaces Image Analysis with Robust and Adaptive PDEs", Intl' conf. on Stereology, Spatial Statistics and Stochastic Geometry, Prague, Czech Republic, June 2012.

29. E. H. S. Diop and J. Angulo, "Robust Nonlinear PDEs for Multiscale Morphological Image Analysis", 83rd Annual Sci. Conf. of Intl' Assoc. of Appl. Math. and Mech. (GAMM), Darmstadt, Germany, March 2012.

30. E. H. S. Diop, A. O. Boudraa and F. Salzenstein, "A joint 2D AM-FM estimation based on Higher Order. Teager-Kaiser Energy Operators", Signal, Image and Video Processing, vol. 5, no. 1, pp. 61-68, 2011.

31. E. H. S. Diop, R. Alexandre and A. O. Boudraa, "Analysis of Intrinsic Mode Functions: A PDE Approach", IEEE Signal Processing Letters, pp. 398-401, vol. 17, no.4, April 2010.

32. E. H. S. Diop, S. O. Ba and T. Jerbi and V. Burdin, "Variational and Shape Prior-based Level Set Model for Image Segmentation", Intl' Conf. of Num. Anal. and Appl. Math. (ICNAAM), pp. 2139-2142, Rhodes, Greece, September 2010.

33. E. H. S. Diop, R. Alexandre and A. O. Boudraa, "A PDE Model for 2D Intrinsic Mode Functions", IEEE ICIP, pp. 3961-3964, Cairo, Egypt, November 2009.

34. E. H. S. Diop and A. O. Boudraa, "Higher Order Teager-Kaiser Operators for Image Analysis: Part II - A Multicomponent Image Demodulation", IEEE ICIP, pp. 3961-3964, Cairo, Egypt, November 2009.

35. E. H. S. Diop, R. Alexandre and A. O. Boudraa, "A PDE characterization of the Intrinsic Mode Functions", IEEE ICASSP, pp. 3429-3432, Taipei, Taiwan, April 2009.

36. E. H. S. Diop, A. O. Boudraa and F. Salzenstein, "Higher Order Teager-Kaiser Operators for Image Analysis: Part I - A Monocomponent Image Demodulation", IEEE ICASSP, pp. 1041-1044, Taipei, Taiwan, April 2009.

37. E. H. S. Diop and A. O. Boudraa, "Démodulation d'images large bande par opérateur d'énergie", GRETSI, Dijon, France, Septembre 2009.

38. A. O. Boudraa and E. H. S. Diop, "Image contrast enhancement based on 2D Teager-Kaiser operator", IEEE ICIP, pp. 3180-3183, San Diego, USA, October 2008.

39. E. H. S. Diop, A. O. Boudraa and A. Bouchikhi, "An Improved Image Demodulation Algorithm Based on Teager-Kaiser", IEEE ISCCSP, pp. 876-881, Malta, March 2008.

40. A. O. Boudraa, E. H. S. Diop and F. Salzenstein, "Teager-Kaiser energy operator for image contrast enhancement", International Conference on Non convex Programming, 3 pages, Rouen, France, December 2007.

41. A. O. Boudraa, E. H. S. Diop, F. Salzenstein and A. Bouchikhi, "Seuillage d'images basé sur l'opérateur de Teager-Kaiser", GRETSI, France, Septembre 2007.

Technical reports:

1. El Hadji S. Diop et V. Burdin, "Méthode par level sets avec à priori de formes pour la segmentation de fémurs à partir d'images EOS", 35 pages, ITI, Telecom Bretagne, Février 2011.

Theses:

1. A Partial Differential Equations-based approach for the 1D and 2D Empirical Mode Decomposition, and AM-FM models for signal and image analysis, PhD thesis, Université de Rennes 1, 225 pages, 2009.

2. 3D prostate cancer reconstruction based on multi modal data, MS thesis, École Normale Supérieure de Cachan, 2006.