`a`
Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Error estimates for a bar code reconstruction method
Pages: 1889 - 1902, Issue 6, September 2012

doi:10.3934/dcdsb.2012.17.1889      Abstract        References        Full text (357.7K)           Related Articles

Selim Esedoḡlu - Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109, United States (email)
Fadil Santosa - School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States (email)

1 R. Choksi and Y. van Gennip, Deblurring of one dimensional bar codes via total variation energy minimization, SIAM J. on Imaging Sciences, 3 (2010), 735-764.       
2 R. Choksi, Y. van Gennip and A. Oberman, Anisotropic total variation regularized $L^1$ approximation and denoising/deblurring of 2D bar codes, Technical report, 2010.
3 G. Dal Maso, "An Introduction to Gamma Convergence,'' Progress in Nonlinear Differential Equations and their Applications, 8, Birkhäuser Boston, Inc., Boston, MA, 1993.       
4 S. Esedoglu, Blind deconvolution of bar code signals, Inverse Problems, 20 (2004), 121-135.       
5 L. C. Evans and R. F. Gariepy, "Measure Theory and Fine Properties of Functions,'' Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1992.       
6 E. Isaacson and H. B. Keller, "Analysis of Numerical Methods,'' Corrected reprint of the 1966 original [Wiley, New York; MR0201039], Dover Publications, Inc., New York, 1994.       
7 L. Modica and S. Mortola, Un esempio di gamma-convergenza, Boll. Un. Mat. Ital. B (5), 14 (1977), 285-299.       
8 L. Rudin, S. Osher and E. Fatemi, Nonlinear total variation based noise removal algorithms, Physica D, 60 (1992), 259-268.

Go to top