The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
An axiomatic approach to image interpolation
Open accessAbstract
We discuss possible algorithms for interpolating data given in a set of curves and/or points in the plane. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The absolute minimal Lipschitz extension model (AMLE) is singled out and studied in more detail. We show experiments suggesting a possible application, the restoration of images with poor dynamic range.
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Citations
Cites
A Computational Approach to Edge Detection
Canny, J. (1986) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.1986.4767851 · Cited by 30,004
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
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
Vese, L. A., & Chan, T. F. (2002) · International Journal of Computer Vision · doi:10.1023/a:1020874308076 · Cited by 2,384
Metadata
- Authors
- Caselles, V., Morel, J.-M., & Sbert, C.
- Venue
- IEEE Transactions on Image Processing
- Published
- 1998-03
- Volume
- 7
- Issue
- 3
- Pages
- 376-386
- ISSN
- 1057-7149 (ISSN-L)
- OpenAlex
- W2016860730
- Cited by
- 341
- References
- 2
- FWCI
- 7.74
- Type
- journal article
- Language
- en
- Open access
- green
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- Caselles, V., Morel, J.-M., & Sbert, C. (1998). An axiomatic approach to image interpolation. IEEE Transactions on Image Processing. https://doi.org/10.1109/83.661188
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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).
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