Esedoglu, S. An analysis of the Perona-Malik scheme. Comm. Pure Appl. Math. 54 (2001), pp. 1442 - 1487.

Esedoglu, S.; Shen, J. Digital image inpainting by the Mumford - Shah - Euler image model. European J. Appl. Math. 13 (2002), pp. 353-370.

Esedoglu, S.; March, R. Segmentation with depth but without detecting junctions. J. Math. Imaging and Vision. 18 (2003), pp. 7-15.

Esedoglu, S. Stability properties of the Perona-Malik scheme. SIAM J. Numer. Anal. 44 (2006), pp. 1297-1313.

Esedoglu, S. Blind deconvolution of bar code signals. Inverse Problems. 20 (2004), pp. 121-135.

Esedoglu, S.; Osher, S. J. Decomposition of images by the anisotropic Rudin - Osher - Fatemi model. Comm. Pure Appl. Math. 57 (2004), pp. 1609-1626.

Chan, T. F.; Esedoglu, S. A multiscale algorithm for Mumford-Shah image segmentation. UCLA CAM Report 03-57 (December 2003). Submitted.

Chan, T. F.; Esedoglu, S. Aspects of total variation regularized L^1 function approximation. UCLA CAM Report 04-07 (February 2004). SIAM J. Appl. Math. 65:5 (2005), pp. 1817-1837.

Zhu, W.; Chan, T. F.; Esedoglu, S. Segmentation with depth: A level set approach. UCLA CAM Report 04-49 (August 2004). SIAM J. Sci. Comput. 28:5 (2006), pp. 1957-1973.

Chan, T. F.; Esedoglu, S.; Nikolova, M. Algorithms for finding global minimizers of denoising and segmentation models. UCLA CAM Report 04-54 (September 2004). SIAM J. Appl. Math. 66 (2006), pp. 1632-1648.

Esedoglu, S.; Tsai, Y.-H. Threshold dynamics for the piecewise constant Mumford-Shah functional. UCLA CAM Report 04-63 (October 2004). J. Comput. Phys. 211:1 (2006), pp. 367-384.

Bertozzi, A.; Esedoglu, S.; Gillette, A. Inpainting by the Cahn-Hilliard equation. UCLA CAM Report 06-07 (February 2006). IEEE Trans. on Image Processing. 16:1 (2007), pp. 285-291.

Chan, T. F.; Esedoglu, S.; Park, F.; Yip, M. H. Recent developments in total variation image restoration. In "Handbook of Mathematical Models in Computer Vision". Springer Verlag, 2005. Edt. by: N. Paragios, Y. Chen, O. Faugeras.

Bresson, X.; Esedoglu, S.; Vandergheynst, P.; Thiran, J. P.; Osher, S. Fast global minimization of the active contour/snake model. UCLA CAM Report 05-04 (January 2005). J. Math. Imaging and Vision. 28:2 (2007), pp. 151-167.

Esedoglu, S.; Ruuth, S.; Tsai, R. Threshold dynamics for shape reconstruction and disocclusion. UCLA CAM Report 05-22 (April 2005). Proceedings of the ICIP 2005.

Chan, T. F.; Esedoglu, S.; Nikolova, M. Finding the global minimum for binary image restoration. Proceedings of the ICIP 2005.

Chan, T.; Esedoglu, S.; Park, F. Image decomposition combining staircase reduction and texture extraction. JVCI. 18:6 (2007), pp. 464-486.

Chan, T. F.; Esedoglu, S.; Park, F. A fourth order dual method for staircase reduction in texture extraction and image restoration problems. UCLA CAM Report 05-28 (April 2005). Submitted.

Esedoglu, S.; Ruuth, S.; Tsai, R. Threshold dynamics for high order geometric motions. Accepted for publication in Interfaces and Free Boundaries.

Bertozzi, A.; Esedoglu, S.; Gillette, A. Analysis of a two-scale Cahn-Hilliard model for image inpainting. SIAM J. Multiscale Modeling and Simulation. 6:3 (2007), pp. 913-936.

Esedoglu, S.; Smereka, P. A variational formulation for a level set representation of multiphase flow and area preserving curvature flow. UCLA CAM Report 07-19 (July 2007). Communications in Mathematical Sciences. 6:1 (2008), pp. 125-148.

Esedoglu, S.; Greer, J. Upper bounds on the coarsening rate of discrete, ill-posed, nonlinear diffusion equations. Communications on Pure and Applied Mathematics. 62:1 (2009), pp. 57-81.

Chan, T. F.; Esedoglu, S.; Ni, Kangyu. Histogram based segmentation using Wasserstein distances. Proceedings of SSVM 2007.

Kolev, K.; Klodt, M.; Brox, T.; Esedoglu, S.; Cremers, D. Continuous global optimization in multiview 3D reconstruction. Proceedings of EMMCVPR 2007.

Elsey, M.; Esedoglu, S. Analogue of the total variation denoising model in the context of geometry processing. SIAM J. Multiscale Modeling and Simulation. 7:4 (2009), pp. 1549-1573.

Ruan, D.; Fessler, J.; Esedoglu, S. Discontinuity preserving regularization for modeling sliding effects in medical image registration. Proc. IEEE. Nuc. Sci. Symp. Med. Im. Conf. (2008).

Ruan, D.; Esedoglu, S.; Fessler, J. Discriminative sliding preserving regularization in medical image registration. Accepted to IEEE Int. Symp. Biomed. Im. Conf. (2009).

Esedoglu, S.; Slepcev, D. Refined upper bounds on the coarsening rate of discrete, ill-posed diffusion equations. Nonlinearity. 21:12 (2008), pp. 2759-2776.

Ni, K.; Bresson, X.; Chan, T. F.; Esedoglu, S. Local histogram based segmentation using the Wasserstein distance. International Journal of Computer Vision. 84:1 (2009), pp. 97-111.

Research leading to some of the publications listed on this page was supported by the National Science Foundation through grants DMS-0410085 (later DMS-0605714), DMS-0713767, and DMS-0748333. In addition, some of the projects were supported by a contract from the Los Alamos National Laboratory, and some by an Alfred P. Sloan Foundation fellowship.