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Extension of p-Laplace operator for image denoising
Malmö högskola, Faculty of Technology and Society (TS).
Malmö högskola, Faculty of Health and Society (HS).
2016 (English)In: System Modeling and Optimization, Springer, 2016, p. 107-116Conference paper, Published paper (Refereed)
Abstract [en]

In this work we introduce a novel operator ∆_(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 ltering scheme analogous to adaptive spatially dependent total variation and linear ltering. Well-posedness of the nal parabolic PDE is established via pertubation theory and connection to classical results in functional analysis. Numerical results demonstrates the applicability of the novel operator∆_ (p;q).

Place, publisher, year, edition, pages
Springer, 2016. p. 107-116
Series
IFIP Advances in Information and Communication Technology, ISSN 1868-4238 ; 494
Keywords [en]
p-Laplace operator, image denoising, anisotropic diffusion
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:mau:diva-12623DOI: 10.1007/978-3-319-55795-3_9Local ID: 23810OAI: oai:DiVA.org:mau-12623DiVA, id: diva2:1409670
Conference
27th IFIP TC7 Conference on System Modelling and Optimization, Sophia Antipolis, France (June 29-July 3rd, 2015)
Available from: 2020-02-29 Created: 2020-02-29 Last updated: 2022-06-27Bibliographically approved

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Other links

Publisher's full texthttp://ifip2015.inria.fr/https://link.springer.com/chapter/10.1007/978-3-319-55795-3_9

Authority records

Cheng, YuanjiSvensson, Olof

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • de-DE
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