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
TypeArticle accepté pour publication ou publié
Journal nameIEEE Transactions on Image Processing
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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 / Keywordsabsolute minimal Lipschitz extension model; elliptic partial differential equations; interpolation algorithms
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