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Interpolating Orientation Fields: An Axiomatic Approach

2020-03-27 | |  70 |   45 |   0

Abstract

We develop an axiomatic approach of vector field interpola- tion, which is useful as a feature extraction preprocessing step. Two op- erators 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.

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