Publikation: Introducing Total Curvature for Image Processing
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Datum
2011
Autor:innen
Cremers, Daniel
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IEEE International Conference on Computer Vision (ICCV), 2011 : 6 - 13 Nov. 2011, Barcelona, Spain. Piscataway: IEEE, 2011, pp. 1267-1274. ISBN 978-1-4577-1101-5. Available under: doi: 10.1109/ICCV.2011.6126378
Zusammenfassung
We introduce the novel continuous regularizer total curvature (TC) for images u: Ω → ℝ. It is defined as the Menger-Melnikov curvature of the Radon measure |Du|, which can be understood as a measure theoretic formulation of curvature mathematically related to mean curvature. The functional is not convex, therefore we define a convex relaxation which yields a close approximation. Similar to the total variation, the relaxation can be written as the support functional of a convex set, which means that there are stable and efficient minimization algorithms available when it is used as a regularizer in image processing problems. Our current implementation can handle general inverse problems, inpainting and segmentation. We demonstrate in experiments and comparisons how the regularizer performs in practice.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
004 Informatik
Schlagwörter
Radon transforms, computational geometry, image processing, minimisation
Konferenz
IEE International Conference on Computer Vision, 6. Nov. 2011 - 13. Nov. 2011, Barcelona
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GOLDLÜCKE, Bastian, Daniel CREMERS, 2011. Introducing Total Curvature for Image Processing. IEE International Conference on Computer Vision. Barcelona, 6. Nov. 2011 - 13. Nov. 2011. In: IEEE International Conference on Computer Vision (ICCV), 2011 : 6 - 13 Nov. 2011, Barcelona, Spain. Piscataway: IEEE, 2011, pp. 1267-1274. ISBN 978-1-4577-1101-5. Available under: doi: 10.1109/ICCV.2011.6126378BibTex
@inproceedings{Goldlucke2011Intro-29092,
year={2011},
doi={10.1109/ICCV.2011.6126378},
title={Introducing Total Curvature for Image Processing},
isbn={978-1-4577-1101-5},
publisher={IEEE},
address={Piscataway},
booktitle={IEEE International Conference on Computer Vision (ICCV), 2011 : 6 - 13 Nov. 2011, Barcelona, Spain},
pages={1267--1274},
author={Goldlücke, Bastian and Cremers, Daniel}
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