Interpolating Orientation Fields: An Axiomatic Approach
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.
Cite
Text
Chessel et al. "Interpolating Orientation Fields: An Axiomatic Approach." European Conference on Computer Vision, 2006. doi:10.1007/11744085_19Markdown
[Chessel et al. "Interpolating Orientation Fields: An Axiomatic Approach." European Conference on Computer Vision, 2006.](https://mlanthology.org/eccv/2006/chessel2006eccv-interpolating/) doi:10.1007/11744085_19BibTeX
@inproceedings{chessel2006eccv-interpolating,
title = {{Interpolating Orientation Fields: An Axiomatic Approach}},
author = {Chessel, Anatole and Cao, Frédéric and Fablet, Ronan},
booktitle = {European Conference on Computer Vision},
year = {2006},
pages = {241-254},
doi = {10.1007/11744085_19},
url = {https://mlanthology.org/eccv/2006/chessel2006eccv-interpolating/}
}