The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
Abstract
A stable algorithm is proposed for image restoration based on the “mean curvature motion” equation. Existence and uniqueness of the “viscosity” solution of the equation are proved, a $L^\infty $ stable algorithm is given, experimental results are shown, and the subjacent vision model is compared with those introduced recently by several vision researchers. The algorithm presented appears to be the sharpest possible among the multiscale image smoothing methods preserving uniqueness and stability.
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Citations
Cites
Marr, D., & Hildreth, E. (1980) · Proceedings of the Royal Society of London. Series B. Biological Sciences · doi:10.1098/rspb.1980.0020 · Cited by 6,510
Koenderink, J. J. (1984) · Biological Cybernetics · doi:10.1007/bf00336961 · Cited by 2,452
Cited by
Cortical Surface-Based Analysis
Dale, A. M., Fischl, B., & Sereno, M. I. (1999) · NeuroImage · doi:10.1006/nimg.1998.0395 · Cited by 10,910
A Non-Local Algorithm for Image Denoising
Buades, A., Coll, B., & Morel, J.-M. (2005) · 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) · doi:10.1109/cvpr.2005.38 · Cited by 7,616
Self-citationImage matching as a diffusion process: an analogy with maxwell’s demons
Thirion, J.-P. (1998) · Medical Image Analysis · doi:10.1016/s1361-8415(98)80022-4 · Cited by 2,445
Review of brain MRI image segmentation methods
Balafar, M. A., Ramli, A. R., Saripan, M. I., & Mashohor, S. (2010) · Artificial Intelligence Review · doi:10.1007/s10462-010-9155-0 · Cited by 438
Mallat, S. (1996) · Proceedings of the IEEE · doi:10.1109/5.488702 · Cited by 316
Metadata
- Authors
- Alvarez, L., Lions, P.-L., & Morel, J.-M.
- Venue
- SIAM Journal on Numerical Analysis
- Published
- 1992-06
- Volume
- 29
- Issue
- 3
- Pages
- 845-866
- ISSN
- 0036-1429 (ISSN-L)
- 1095-7170
- OpenAlex
- W2146052399
- Cited by
- 2,208
- References
- 2
- FWCI
- 30.08
- Type
- journal article
- Language
- en
- Open access
- closed
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- Alvarez, L., Lions, P.-L., & Morel, J.-M. (1992). Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II. SIAM Journal on Numerical Analysis. https://doi.org/10.1137/0729052
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
