期刊
IEEE TRANSACTIONS ON IMAGE PROCESSING
卷 23, 期 1, 页码 9-18出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIP.2013.2277775
关键词
Parallel level sets; vector-valued images; variational methods; non-linear diffusion; denoising; demosaicking
资金
- Siemens Ltd.
- EPSRC [EP/K005278/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K005278/1] Funding Source: researchfish
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 Gateaux 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.
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