Image Interpolation
Séminaire Équations aux dérivées partielles (Polytechnique) (1997-1998), Talk no. 12, 15 p.

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. We also analyse the problem of unsmooth interpolation and show how it permits a subsidiary variational method.

@article{SEDP_1997-1998____A12_0,
author = {Caselles, Vicent and Masnou, Simon and Morel, Jean-Michel and Sbert, Catalina},
title = {Image Interpolation},
journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique)},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {1997-1998},
note = {talk:12},
mrnumber = {1660525},
zbl = {1058.65020},
language = {en},
url = {http://www.numdam.org/item/SEDP_1997-1998____A12_0}
}

Caselles, Vicent; Masnou, Simon; Morel, Jean-Michel; Sbert, Catalina. Image Interpolation. Séminaire Équations aux dérivées partielles (Polytechnique) (1997-1998), Talk no. 12, 15 p. http://www.numdam.org/item/SEDP_1997-1998____A12_0/

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