Title :
An axiomatic approach to image interpolation
Author :
Caselles, Vicent ; Morel, Jean-Michel ; Sbert, Catalina
Author_Institution :
Dept. of Math. & Inf., Illes Balears Univ., Palma de Mallorca, Spain
fDate :
3/1/1998 12:00:00 AM
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; AMLE; absolute minimal Lipschitz extension model; axiomatic approach; curves; degenerate elliptic partial differential equations; image interpolation; points; poor dynamic range images restoration; Associate members; Bit rate; Decoding; Dynamic range; Image coding; Image processing; Image reconstruction; Image restoration; Interpolation; Partial differential equations;
Journal_Title :
Image Processing, IEEE Transactions on
