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An axiomatic approach to image interpolation

Caselles, Vincent; Morel, Jean-Michel; Sbert, Catalina (1998), An axiomatic approach to image interpolation, IEEE Transactions on Image Processing, 7, 3, p. 376-386. http://dx.doi.org/10.1109/83.661188

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Type
Article accepté pour publication ou publié
Date
1998
Journal name
IEEE Transactions on Image Processing
Volume
7
Number
3
Publisher
IEEE
Pages
376-386
Publication identifier
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Author(s)
Caselles, Vincent
Morel, Jean-Michel
Sbert, Catalina
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.
Subjects / Keywords
absolute minimal Lipschitz extension model; elliptic partial differential equations; interpolation algorithms