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Generalizations of ...
Generalizations of p-Laplace operator for image enhancement : Part 2
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- Baravdish, George, 1964- (författare)
- Linköpings universitet,Fysik, elektroteknik och matematik,Tekniska fakulteten
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- Cheng, Yuanji (författare)
- Malmö universitet,Institutionen för materialvetenskap och tillämpad matematik (MTM),Malmö University, Sweden
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- Svensson, Olof, 1965- (författare)
- Linköpings universitet,Fysik, elektroteknik och matematik,Tekniska fakulteten
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- Åström, Freddie (författare)
- Heidelberg Univ, Heidelberg, Germany.,Heidelberg University, Germany
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(creator_code:org_t)
- Springfield, MO, United States : American Institute of Mathematical Sciences, 2020
- 2020
- Engelska.
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Ingår i: Communications on Pure and Applied Analysis. - Springfield, MO, United States : American Institute of Mathematical Sciences. - 1534-0392 .- 1553-5258. ; 19:7, s. 3477-3500
- Relaterad länk:
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https://www.aimscien...
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https://urn.kb.se/re...
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https://doi.org/10.3...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We have in a previous study introduced a novel elliptic operator Delta((p,q))u = vertical bar del u vertical bar(q) Delta(1)u + (p - 1) vertical bar del u vertical bar(p-2)Delta(infinity) u, p >= 1, q >= 0, as a generalization of the p-Laplace operator. In this paper, we establish the well-posedness of the parabolic equation u(t) =vertical bar del u vertical bar(1-q) Delta((1+q,q)), where q = q(vertical bar del u vertical bar) is continuous and has range in [0, 1], in the framework of viscosity solutions. We prove the consistency and convergence of the numerical scheme of finite differences of this parabolic equation. Numerical simulations shows the advantage of this operator applied to image enhancement.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- p-Laplace operator
- parabolic equations
- viscosity solutions
- image denoising
- inpainting
- Perona-Malik equations
- inverse problems
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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