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Vector-Valued Image Processing by Parallel Level Sets

Ehrhardt, MJ; Arridge, SR; (2014) Vector-Valued Image Processing by Parallel Level Sets. IEEE TRANSACTIONS ON IMAGE PROCESSING , 23 (1) 9 - 18. 10.1109/TIP.2013.2277775. Green open access

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Abstract

Vector-valued images such as RGB color images or multimodal medical images show a strong interchannel correlation, which is not exploited by most image processing tools. We propose a new notion of treating vector-valued images which is based on the angle between the spatial gradients of their channels. Through minimizing a cost functional that penalizes large angles, images with parallel level sets can be obtained. After formally introducing this idea and the corresponding cost functionals, we discuss their Gâteaux derivatives that lead to a diffusion-like gradient descent scheme. We illustrate the properties of this cost functional by several examples in denoising and demosaicking of RGB color images. They show that parallel level sets are a suitable concept for color image enhancement. Demosaicking with parallel level sets gives visually perfect results for low noise levels. Furthermore, the proposed functional yields sharper images than the other approaches in comparison.

Type: Article
Title: Vector-Valued Image Processing by Parallel Level Sets
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/TIP.2013.2277775
Publisher version: http://dx.doi.org/10.1109/TIP.2013.2277775
Additional information: © 2014, IEEE. This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/ PubMed ID: 23955746
Keywords: Parallel level sets, vector-valued images, variational methods, non-linear diffusion, denoising, demosaicking
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS
URI: https://discovery.ucl.ac.uk/id/eprint/1417321
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