The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Iterative Methods for Total Variation Denoising
Abstract
Total variation (TV) methods are very effective for recovering “blocky,” possibly discontinuous, images from noisy data. A fixed point algorithm for minimizing a TV penalized least squares functional is presented and compared with existing minimization schemes. A variant of the cell-centered finite difference multigrid method of Ewing and Shen is implemented for solving the (large, sparse) linear subproblems. Numerical results are presented for one- and two-dimensional examples; in particular, the algorithm is applied to actual data obtained from confocal microscopy.
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Citations
Cites
Spline Models for Observational Data
Wahba, G. (1990) · doi:10.1137/1.9781611970128 · Cited by 4,184
Cited by
Sidky, E. Y., & Pan, X. (2008) · Physics in Medicine and Biology · doi:10.1088/0031-9155/53/17/021 · Cited by 1,995
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
Image super-resolution: the techniques, applications, and future
Yue, L., Shen, H., Li, J., Yuan, Q., Zhang, H., & Zhang, L. (2016) · Signal Processing · doi:10.1016/j.sigpro.2016.05.002 · Cited by 554
A Fast Total Variation Minimization Method for Image Restoration
Huang, Y., Ng, M. K., & Wen, Y.-W. (2008) · Multiscale Modeling & Simulation · doi:10.1137/070703533 · Cited by 218
Unified Blind Method for Multi-Image Super-Resolution and Single/Multi-Image Blur Deconvolution
Faramarzi, E., Rajan, D., & Christensen, M. P. (2013) · IEEE Transactions on Image Processing · doi:10.1109/tip.2013.2237915 · Cited by 93
Metadata
- Authors
- Vogel, C. R., & Oman, M. E.
- Venue
- SIAM Journal on Scientific Computing
- Published
- 1996-01
- Volume
- 17
- Issue
- 1
- Pages
- 227-238
- ISSN
- 1064-8275 (ISSN-L)
- 1095-7197
- OpenAlex
- W2167400582
- Cited by
- 1,076
- References
- 1
- FWCI
- 26.84
- Type
- journal article
- Language
- en
- Open access
- closed
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