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Total variation based image restoration with free local constraints
Abstract
A new total variation based approach was developed by Rudin, Osher and Fatemi (see Physica D., vol.60, p.259, 1992) to overcome the basic limitations of all smooth regularization algorithms. The TV-based technique use the L/sup 1/ norm of the magnitude of a gradient, thus making discontinuous and nonsmooth solutions possible. In TV image restoration, the solution is obtained by solving a time-dependent, nonlinear PDE on a manifold that satisfies the degradation constraints. In practical applications, one assumes a space-varying blurring kernel and signal-dependent (e.g. multiplicative) noise. The evolution part of the TV-based PDE turned out to be related to the curve shortening equation, but scaled by an inverse.>
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Cited by
A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
Wang, Y., Yang, J., Yin, W., & Zhang, Y. (2008) · SIAM Journal on Imaging Sciences · doi:10.1137/080724265 · Cited by 1,975
An Iterative Regularization Method for Total Variation-Based Image Restoration
Osher, S., Burger, M., Goldfarb, D., Xu, J., & Yin, W. (2005) · Multiscale Modeling & Simulation · doi:10.1137/040605412 · Cited by 1,787
Self-citationNontexture Inpainting by Curvature-Driven Diffusions
Chan, T. F., & Shen, J. (2001) · Journal of Visual Communication and Image Representation · doi:10.1006/jvci.2001.0487 · Cited by 932
Medical Image Denoising Using Convolutional Denoising Autoencoders
Gondara, L. (2016) · 2016 IEEE 16th International Conference on Data Mining Workshops (ICDMW) · doi:10.1109/icdmw.2016.0041 · Cited by 737
Image Super-Resolution by TV-Regularization and Bregman Iteration
Marquina, A., & Osher, S. J. (2008) · Journal of Scientific Computing · doi:10.1007/s10915-008-9214-8 · Cited by 458
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Metadata
- Authors
- Rudin, L. I., & Osher, S.
- Venue
- Proceedings of 1st International Conference on Image Processing
- Publisher
- IEEE Comput. Soc. Press
- Published
- 2002-12-17
- Volume
- 1
- Pages
- 31-35
- ISSN
- 1522-4880 (ISSN-L)
- OpenAlex
- W2130604180
- Cited by
- 673
- References
- 0
- FWCI
- 14.88
- Type
- conference paper
- Language
- en
- Open access
- closed
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