DocumentCode
1340971
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
Volume
7
Issue
3
fYear
1998
fDate
3/1/1998 12:00:00 AM
Firstpage
376
Lastpage
386
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;
fLanguage
English
Journal_Title
Image Processing, IEEE Transactions on
Publisher
ieee
ISSN
1057-7149
Type
jour
DOI
10.1109/83.661188
Filename
661188
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