The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Mathematical Models for Local Nontexture Inpaintings
Abstract
Inspired by the recent work of Bertalmio et al. on digital inpaintings [SIGGRAPH 2000], we develop general mathematical models for local inpaintings of nontexture images. On smooth regions, inpaintings are connected to the harmonic and biharmonic extensions, and inpainting orders are analyzed. For inpaintings involving the recovery of edges, we study a variational model that is closely connected to the classical total variation (TV) denoising model of Rudin, Osher, and Fatemi [ Phys. D, 60 (1992), pp. 259--268]. Other models are also discussed based on the Mumford--Shah regularity [ Comm. Pure Appl. Math., XLII (1989), pp. 577--685] and curvature driven diffusions (CDD) of Chan and Shen [ J. Visual Comm. Image Rep., 12 (2001)]. The broad applications of the inpainting models are demonstrated through restoring scratched old photos, disocclusion in vision analysis, text removal, digital zooming, and edge-based image coding.
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Cites
Daubechies, I. (1992) · doi:10.1137/1.9781611970104 · Cited by 15,979
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
Cited by
Semantic Image Inpainting with Deep Generative Models
Yeh, R. A., Chen, C., Lim, T. Y., Schwing, A. G., Hasegawa-Johnson, M., & Do, M. N. (2017) · 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) · doi:10.1109/cvpr.2017.728 · Cited by 1,206
Simultaneous structure and texture image inpainting
Bertalmio, M., Vese, L., Sapiro, G., & Osher, S. (2003) · IEEE Transactions on Image Processing · doi:10.1109/tip.2003.815261 · Cited by 1,079
Nontexture 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
Self-citationImage Inpainting : Overview and Recent Advances
Guillemot, C., & Le Meur, O. (2014) · IEEE Signal Processing Magazine · doi:10.1109/msp.2013.2273004 · Cited by 608
Metadata
- Authors
- Shen, J., & Chan, T. F.
- Venue
- SIAM Journal on Applied Mathematics
- Published
- 2002-01
- Volume
- 62
- Issue
- 3
- Pages
- 1019-1043
- ISSN
- 0036-1399 (ISSN-L)
- 1095-712X
- OpenAlex
- W2031832209
- Cited by
- 1,195
- References
- 2
- FWCI
- 31.08
- Type
- journal article
- Language
- en
- Open access
- closed
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