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. UCLA CAM Report 05-18 (March 2005). To appear in JVCI.

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). Accepted for publication in Communications in Mathematical Sciences.

Esedoglu, S.; Greer, J. Upper bounds on the coarsening rate of discrete, ill-posed, nonlinear diffusion equations. Accepted for publication in Communications on Pure and Applied Mathematics.

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. Submitted.

Esedoglu, S.; Slepcev, D. Refined upper bounds on the coarsening rate of discrete, ill-posed diffusion equations. Submitted.