Title :
An axiomatic approach to image interpolation
Author :
Caselles, Vicent ; Morel, Jean-Michel ; Sbert, Catalina
Author_Institution :
Dept. de Math., Univ. de les Illes Balears, Palma de Mallorca, Spain
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
Keywords :
image restoration; interpolation; partial differential equations; absolute minimal Lipschitz extension model; axiomatic approach; curves; data interpolation; dynamic range; elliptic partial differential equations; experiments; image interpolation; image restoration; interpolation algorithms; points; Bit rate; Decoding; Dynamic range; Image restoration; Interpolation; Laplace equations; Mathematics; Partial differential equations; Taylor series; Viscosity;
Conference_Titel :
Image Processing, 1997. Proceedings., International Conference on
Conference_Location :
Santa Barbara, CA
Print_ISBN :
0-8186-8183-7
DOI :
10.1109/ICIP.1997.632125
