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Double phase image restoration |
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| Author: | Harjulehto, Petteri1; Hästö, Peter1,2 |
| Organizations: |
1Department of Mathematics and Statistics, FI-20014 University of Turku, Finland 2Department of Mathematics, FI-90014 University of Oulu, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | embargoed |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2021070641180 |
| Language: | English |
| Published: |
Elsevier,
2021
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| Publish Date: | 2022-01-07 |
| Description: |
AbstractIn 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. see all
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| Series: |
Journal of mathematical analysis and applications |
| ISSN: | 0022-247X |
| ISSN-E: | 1096-0813 |
| ISSN-L: | 0022-247X |
| Volume: | 501 |
| Issue: | 1 |
| Article number: | 123832 |
| DOI: | 10.1016/j.jmaa.2019.123832 |
| OADOI: | https://oadoi.org/10.1016/j.jmaa.2019.123832 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Copyright information: |
© 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/. |
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https://creativecommons.org/licenses/by-nc-nd/4.0/ |