An axiomatic approach to image interpolation

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 satis ed by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial di erential 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.

• Type: Conference
• Year: 1997
• Where: ICIP
• Authors: Vicent Caselles, Jean-Michel Morel, Catalina Sbert
• Keywords: Absolute Minimal Lipschitz, Elliptic Partial Di, ICIP 1997, Image Processing, Possible Algorithms