Abstract
In this paper a fully discrete cross-diffusion model for image restoration is introduced. The image is represented by a two-component vector field, and the restoration process is governed by a nonlinear cross-diffusion difference system. We explore numerically the potentialities of using the nonlinear cross-diffusion approach as an image filter, in particular as a preprocessing step for image segmentation.
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References
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Acknowledgements
This work was supported by Spanish Ministerio de Economía y Competitividad under the Research Grant MTM2014-54710-P. A. Araújo and S. Barbeiro were also supported by the Centre for Mathematics of the University of Coimbra—UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MCTES and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020.
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Araújo, A., Barbeiro, S., Cuesta, E., Durán, Á. (2017). A Discrete Cross-Diffusion Model for Image Restoration. In: Quintela, P., et al. Progress in Industrial Mathematics at ECMI 2016. ECMI 2016. Mathematics in Industry(), vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-63082-3_63
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DOI: https://doi.org/10.1007/978-3-319-63082-3_63
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