title: An axiomatic approach to image interpolation.
abstract: 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.
authors.affiliation: Dept. of Math. and Inf., Illes Balears Univ., Palma de Mallorca, Spain. dmivca@ps.uib.es
authors.forename: V
authors.initials: V
authors.lastname: Caselles
authors.forename: J M
authors.initials: JM
authors.lastname: Morel
authors.forename: C
authors.initials: C
authors.lastname: Sbert