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Mapping-Based Image Diffusion
Heidelberg University, Germany.
Linköping University, Department of Electrical Engineering, Computer Vision. Linköping University, Faculty of Science & Engineering. Linköping University, Center for Medical Image Science and Visualization (CMIV).ORCID iD: 0000-0002-6096-3648
Linköping University, Department of Science and Technology, Communications and Transport Systems. Linköping University, Faculty of Science & Engineering.
2017 (English)In: Journal of Mathematical Imaging and Vision, ISSN 0924-9907, E-ISSN 1573-7683, Vol. 57, no 3, 293-323 p.Article in journal (Refereed) Published
Abstract [en]

In this work, we introduce a novel tensor-based functional for targeted image enhancement and denoising. Via explicit regularization, our formulation incorporates application-dependent and contextual information using first principles. Few works in literature treat variational models that describe both application-dependent information and contextual knowledge of the denoising problem. We prove the existence of a minimizer and present results on tensor symmetry constraints, convexity, and geometric interpretation of the proposed functional. We show that our framework excels in applications where nonlinear functions are present such as in gamma correction and targeted value range filtering. We also study general denoising performance where we show comparable results to dedicated PDE-based state-of-the-art methods.

Place, publisher, year, edition, pages
SPRINGER , 2017. Vol. 57, no 3, 293-323 p.
Keyword [en]
Image enhancement; Denoising; PDE; Diffusion; Gradient energy tensor; Structure tensor
National Category
Computer Vision and Robotics (Autonomous Systems)
Identifiers
URN: urn:nbn:se:liu:diva-136620DOI: 10.1007/s10851-016-0672-6ISI: 000395106400001OAI: oai:DiVA.org:liu-136620DiVA: diva2:1089909
Note

Funding Agencies|Swedish Foundation for Strategic Research through the grant VPS; Swedish Research Council; German Science Foundation and the Research Training Group [GRK 1653]

Available from: 2017-04-21 Created: 2017-04-21 Last updated: 2017-08-17

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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  • vancouver
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  • Other style
More styles
Language
  • de-DE
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Output format
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