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Damped second order flow applied to image denoising
Linköping University, Department of Science and Technology, Physics, Electronics and Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Science and Technology, Physics, Electronics and Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-3324-2298
Orebro Univ, Sweden.
Shenzhen MSU BIT Univ, Peoples R China; Beijing Inst Technol, Peoples R China.
2019 (English)In: IMA Journal of Applied Mathematics, ISSN 0272-4960, E-ISSN 1464-3634, Vol. 84, no 6, p. 1082-1111Article in journal (Refereed) Published
Abstract [en]

In this paper, we introduce a new image denoising model: the damped flow (DF), which is a second order nonlinear evolution equation associated with a class of energy functionals of an image. The existence, uniqueness and regularization property of DF are proven. For the numerical implementation, based on the Stormer-Verlet method, a discrete DF, SV-DDF, is developed. The convergence of SV-DDF is studied as well. Several numerical experiments, as well as a comparison with other methods, are provided to demonstrate the efficiency of SV-DDF.

Place, publisher, year, edition, pages
OXFORD UNIV PRESS , 2019. Vol. 84, no 6, p. 1082-1111
Keywords [en]
nonlinear flow; image denoising; p-parabolic; p-Laplace; inverse problems; regularization; damped Hamiltonian system; symplectic method; Stormer-Verlet
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-163478DOI: 10.1093/imamat/hxz027ISI: 000509388900002OAI: oai:DiVA.org:liu-163478DiVA, id: diva2:1393667
Note

Funding Agencies|Alexander von Humboldt foundationAlexander von Humboldt Foundation

Available from: 2020-02-17 Created: 2020-02-17 Last updated: 2020-02-17

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