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Extension of p-Lapl...
Extension of p-Laplace Operator for Image Denoising
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- Baravdish, George (author)
- Linköpings universitet,Kommunikations- och transportsystem,Tekniska fakulteten
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- Cheng, Yuanji (author)
- Malmö högskola,Fakulteten för teknik och samhälle (TS),Malmö University, Malmö, Sweden
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- Svensson, Olof, 1965- (author)
- Linköpings universitet,Kommunikations- och transportsystem,Tekniska fakulteten
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- Åström, Freddie (author)
- Heidelberg Collaboratory for Image Processing, Heidelberg University, Heidelberg, Germany
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(creator_code:org_t)
- 2017-04-02
- 2016
- English.
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In: 27th IFIP TC 7 Conference, CSMO 2015, Sophia Antipolis, France, June 29 - July 3, 2015, Revised Selected Papers. - Cham : Springer. - 9783319557946 - 9783319557953 ; , s. 107-116, s. 107-116
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Abstract
Subject headings
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- In this work we introduce a novel operator $$\displaystyle \varDelta _(p,q)$$ as an extended family of operators that generalize the p-Laplace operator. The operator is derived with an emphasis on image processing applications, and particularly, with a focus on image denoising applications. We propose a non-linear transition function, coupling p and q, which yields a non-linear filtering scheme analogous to adaptive spatially dependent total variation and linear filtering. Well-posedness of the final parabolic PDE is established via pertubation theory and connection to classical results in functional analysis. Numerical results demonstrates the applicability of the novel operator $$\displaystyle \varDelta _(p,q)$$ .
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- p-Laplace operator
- Parabolic equations
- Image denoising
- Anisotropic diffusion
- Inverse problems
Publication and Content Type
- ref (subject category)
- kap (subject category)
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