Interpolating orientation fields: an axiomatic approach

Authors:
Anatole Chessel;Frederic Cao;Ronan Fablet
Affiliations:
IFREMER/LASAA, Technopole Brest-Iroise, Plouzane, France;Campus de Beaulieu, IRISA/VISTA, Rennes, France;IFREMER/LASAA, Technopole Brest-Iroise, Plouzane, France
Venue:
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
Year:
2006

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Abstract

We develop an axiomatic approach of vector field interpolation, which is useful as a feature extraction preprocessing step. Two operators will be singled out: the curvature operator, appearing in the total variation minimisation for image restoration and inpainting/disocclusion, and the Absolutely Minimizing Lipschitz Extension (AMLE), already known as a robust and coherent scalar image interpolation technique if we relax slightly the axioms. Numerical results, using a multiresolution scheme, show that they produce fields in accordance with the human perception of edges.