The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Fast, robust total variation-based reconstruction of noisy, blurred images
Abstract
Tikhonov regularization with a modified total variation regularization functional is used to recover an image from noisy, blurred data. This approach is appropriate for image processing in that it does not place a priori smoothness conditions on the solution image. An efficient algorithm is presented for the discretized problem that combines a fixed point iteration to handle nonlinearity with a new, effective preconditioned conjugate gradient iteration for large linear systems. Reconstructions, convergence results, and a direct comparison with a fast linear solver are presented for a satellite image reconstruction application.
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Cites
Nonlinear total variation based noise removal algorithms
Rudin, L. I., Osher, S., & Fatemi, E. (1992) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(92)90242-f · Cited by 15,704
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
Dennis, J. E., & Schnabel, R. B. (1996) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971200 · Cited by 7,615
Minimal Surfaces and Functions of Bounded Variation
Giusti, E. (1984) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4684-9486-0 · Cited by 2,261
Axelsson, O. (1994) · Cambridge University Press eBooks · doi:10.1017/cbo9780511624100 · Cited by 2,085
Image recovery via total variation minimization and related problems
Chambolle, A., & Lions, P.-L. (1997) · Numerische Mathematik · doi:10.1007/s002110050258 · Cited by 1,569
Deterministic edge-preserving regularization in computed imaging
Charbonnier, P., Blanc-Feraud, L., Aubert, G., & Barlaud, M. (1997) · IEEE Transactions on Image Processing · doi:10.1109/83.551699 · Cited by 1,301
Constrained restoration and the recovery of discontinuities
Geman, D., & Reynolds, G. (1992) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.120331 · Cited by 1,085
Iterative Methods for Total Variation Denoising
Vogel, C. R., & Oman, M. E. (1996) · SIAM Journal on Scientific Computing · doi:10.1137/0917016 · Cited by 1,076
Self-citationNonlinear image recovery with half-quadratic regularization
Geman, D., & Yang, C. (1995) · IEEE Transactions on Image Processing · doi:10.1109/83.392335 · Cited by 1,000
REGULARIZATION OF INCORRECTLY POSED PROBLEMS
Tikhonov, A. N. (1963) · Cited by 867
Cited by
A sparse signal reconstruction perspective for source localization with sensor arrays
Malioutov, D., Cetin, M., & Willsky, A. S. (2005) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2005.850882 · Cited by 2,638
Fast Weighted Total Variation Regularization Algorithm for Blur Identification and Image Restoration
Liu, H., Gu, J., Meng, M. Q.-H., & Lu, W.-S. (2016) · IEEE Access · doi:10.1109/access.2016.2516949 · Cited by 16
Metadata
- Authors
- Vogel, C. R., & Oman, M. E.
- Venue
- IEEE Transactions on Image Processing
- Published
- 1998-06
- Volume
- 7
- Issue
- 6
- Pages
- 813-824
- ISSN
- 1057-7149 (ISSN-L)
- OpenAlex
- W2107604145
- Cited by
- 601
- References
- 21
- FWCI
- 10.33
- Type
- journal article
- Language
- en
- Open access
- closed
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