A Geometric PDE for Interpolation of M-Channel Data

Authors:
Frank Lenzen;Otmar Scherzer
Affiliations:
Department of Mathematics, University of Innsbruck, Innsbruck, Austria A-6020;Department of Mathematics, University of Innsbruck, Innsbruck, Austria A-6020 and Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Aust ...
Venue:
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Year:
2009

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Abstract

We propose a partial differential equation to be used for interpolating M -channel data, such as digital color images. This equation is derived via a semi-group from a variational regularization method for minimizing displacement errors. For actual image interpolation, the solution of the PDE is projected onto a space of functions satisfying interpolation constraints. A comparison of the test results with standard and state-of-the-art interpolation algorithms shows the competitiveness of this approach.