Triet M. Le
Research Scientist Associate
Department of Mathematics, Yale University
10 Hillhouse, New Haven, CT 06511
Phone: (203) 432-4011
Office: DL 418
Email:
Applied Analysis Seminar (Fall 2009 and Spring 2010).
curriculum vitae. (updated 10/13/2009)
Teaching:
Education:
  • 1997-2000: B.S., Mathematics and Computer Science, UCLA.
  • 2000-2002: M.A., Mathematics, UCLA.
  • 2002-2006: Ph.D., Mathematics, UCLA.
Mathematical Research Interests:
  • Image and Data Analysis, Calculus of Variations, Partial Differential Equations, Applied Harmonic Analysis, and Statistical Learning.
Publications and Preprints:
  1. T. Le and L. Vese, Image decomposition using total variation and div(BMO), Multiscale Modeling and Simulation, SIAM Interdisciplinary Journal, vol.4, num. 2, pp. 390-423, June 2005. pdf
  2. G. Chung, T. Le, L. H. Lieu, N. Tanushev, and L. Vese, Computational methods for image restoration, image segmentation, and texture modeling, Computational Imaging IV, edited by Charles A. Bouman, Eric L. Miller, Ilya Pollak, Proc. of SPIE-IS&T Electronic Imaging, SPIE Vol. 6065, pp. 60650J-1 -- 60650J-15, 2006. pdf
  3. T. Le, R. Chartrand and T. Asaki, A Variational Approach to Constructing Images Corrupted by Poisson Noise, JMIV, vol. 27(3), pp. 257-263, April 2007. pdf
  4. J. Garnett, T. Le, Y. Meyer and L. Vese, Image Decompositions Using Bounded Variation and Generalized Homogeneous Besov Spaces, Applied and Computational Harmonic Analysis, no. 23, pp. 25-56, July 2007. pdf
  5. T. Le and L. Vese, Additive and multiplicative piecewise-smooth segmentation models in a functional variational approach, Interpolation Theory and Applications, Comtemporary Mathematics, vol. 445, pp. 207-224, 2007. pdf.
  6. T. Le, L. Lieu, and L. Vese, BV and the Dual of BV Image Decomposition Models and Minimization Algorithms, UCLA CAM Report 05-13. J. of Mathematical Imaging and Vision, vol. 23, no. 2, pp. 135-148, 2009. pdf
  7. J. Garnett, P. Jones, T. Le and L. Vese, Modeling Oscillatory Components with the Homogeneous Spaces $\dot{BMO}^{-\alpha}$ and $ \dot{W}^{-\alpha,p}$, UCLA CAM Report 07-21. (To appear in PAMQ). pdf
  8. P. Jones and T. Le, Local Scales and Multiscale Image Decompositions , Applied and Computational Harmonic Analysis. vol. 26, no. 3, pp. 371-394, 2009. pdf
  9. M. Barchiesi, S.-H. Kang, T. Le, M. Morini, M. Ponsiglione, A variational model for infinite perimeter segmentations based on Lipschitz level set functions: denoising while keeping finely oscillatory boundaries Preprint. pdf
  10. A. Buades, T. Le, J.-M. Morel, and L.A. Vese, Fast cartoon and texture image filters, Preprint, 2009. pdf
  11. M. Ha-Quang, S.H. Kang, and T.M. Le, Image and video colorization using vector-valued reproducing kernel Hilbert spaces, UCLA CAM Report 09-46, 2009. Submitted to JIMV. pdf
  12. J. Garnett, T. Le, and L.A. Vese, Some variational problems in image processing, UCLA CAM Report 09-85, 2009. pdf
Image Decomposition Software.
Links: