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An axiomatic approach to image interpolation

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plugin-IEEE_TIP_interpolacio.pdf (490.6Kb)
Date
1998
Dewey
Analyse
Sujet
absolute minimal Lipschitz extension model; elliptic partial differential equations; interpolation algorithms
Journal issue
IEEE Transactions on Image Processing
Volume
7
Number
3
Publication date
1998
Article pages
376-386
Publisher
IEEE
DOI
http://dx.doi.org/10.1109/83.661188
URI
https://basepub.dauphine.fr/handle/123456789/6284
Collections
  • CEREMADE : Publications
Metadata
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Author
Caselles, Vincent
Morel, Jean-Michel
Sbert, Catalina
Type
Article accepté pour publication ou publié
Abstract (EN)
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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