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Article

Variational Anisotropic Gradient-Domain Image Processing

Department of Computer Science, Norwegian University of Science and Technology (NTNU), 2802 Gjøvik, Norway
Academic Editor: Edoardo Provenzi
J. Imaging 2021, 7(10), 196; https://doi.org/10.3390/jimaging7100196
Received: 27 August 2021 / Revised: 23 September 2021 / Accepted: 26 September 2021 / Published: 29 September 2021
(This article belongs to the Section Image and Video Processing)
Gradient-domain image processing is a technique where, instead of operating directly on the image pixel values, the gradient of the image is computed and processed. The resulting image is obtained by reintegrating the processed gradient. This is normally done by solving the Poisson equation, most often by means of a finite difference implementation of the gradient descent method. However, this technique in some cases lead to severe haloing artefacts in the resulting image. To deal with this, local or anisotropic diffusion has been added as an ad hoc modification of the Poisson equation. In this paper, we show that a version of anisotropic gradient-domain image processing can result from a more general variational formulation through the minimisation of a functional formulated in terms of the eigenvalues of the structure tensor of the differences between the processed gradient and the gradient of the original image. Example applications of linear and nonlinear local contrast enhancement and colour image Daltonisation illustrate the behaviour of the method. View Full-Text
Keywords: variational methods; anisotropic diffusion; gradient-domain image processing; local contrast enhancement variational methods; anisotropic diffusion; gradient-domain image processing; local contrast enhancement
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MDPI and ACS Style

Farup, I. Variational Anisotropic Gradient-Domain Image Processing. J. Imaging 2021, 7, 196. https://doi.org/10.3390/jimaging7100196

AMA Style

Farup I. Variational Anisotropic Gradient-Domain Image Processing. Journal of Imaging. 2021; 7(10):196. https://doi.org/10.3390/jimaging7100196

Chicago/Turabian Style

Farup, Ivar. 2021. "Variational Anisotropic Gradient-Domain Image Processing" Journal of Imaging 7, no. 10: 196. https://doi.org/10.3390/jimaging7100196

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