The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Nonlocal Operators with Applications to Image Processing
Abstract
We propose the use of nonlocal operators to define new types of flows and functionals for image processing and elsewhere. A main advantage over classical PDE-based algorithms is the ability to handle better textures and repetitive structures. This topic can be viewed as an extension of spectral graph theory and the diffusion geometry framework to functional analysis and PDE-like evolutions. Some possible applications and numerical examples are given, as is a general framework for approximating Hamilton–Jacobi equations on arbitrary grids in high demensions, e.g., for control theory.
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Cites
Bilateral Filtering for Gray and Color Images
Tomasi, C., & Manduchi, R. (2002) · Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271) · doi:10.1109/iccv.1998.710815 · Cited by 8,177 · cited 1×
“For image denoising, nonlocal methods were developed based on gray-level pixel affinities in the form of the Yoroslavsky filter [57] and the bilateral filters [54].”
MethodFast approximate energy minimization via graph cuts
Boykov, Y., Veksler, O., & Zabih, R. (2001) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.969114 · Cited by 6,988
Cited by
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
Yu, G., Sapiro, G., & Mallat, S. (2012) · IEEE Transactions on Image Processing · doi:10.1109/tip.2011.2176743 · Cited by 561
Non-local Color Image Denoising with Convolutional Neural Networks
Lefkimmiatis, S. (2017) · 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) · doi:10.1109/cvpr.2017.623 · Cited by 363
Metadata
- Authors
- Gilboa, G., & Osher, S.
- Venue
- Multiscale Modeling & Simulation
- Published
- 2009-01
- Volume
- 7
- Issue
- 3
- Pages
- 1005-1028
- ISSN
- 1540-3459 (ISSN-L)
- 1540-3467
- OpenAlex
- W2060945009
- Cited by
- 1,423
- References
- 2
- FWCI
- 52.50
- Type
- journal article
- Language
- en
- Open access
- closed
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