Double phase image restoration

Harjulehto, Petteri; Hästö, Peter (2020-01-07)
 
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URL:
https://doi.org/10.1016/j.jmaa.2019.123832

Harjulehto, Petteri
Hästö, Peter
Elsevier
07.01.2020

Harjulehto, P., & Hästö, P. (2021). Double phase image restoration. Journal of Mathematical Analysis and Applications, 501(1), 123832. https://doi.org/10.1016/j.jmaa.2019.123832

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© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.
https://creativecommons.org/licenses/by-nc-nd/4.0/
doi:https://doi.org/10.1016/j.jmaa.2019.123832
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https://urn.fi/URN:NBN:fi-fe2021070641180
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Abstract

In this paper we explore the potential of the double phase functional in an image processing context. To this end, we study minimizers of the double phase energy for functions with bounded variation and show that this energy can be obtained by Γ-convergence or relaxation of regularized functionals. A central tool is a capped fractional maximal function of the derivative of BV functions.

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