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The Weibull manifold in low-level image processing: an application to automatic image focusing.
Linköping University, Department of Electrical Engineering, Computer Vision. Linköping University, The Institute of Technology. (CVL)
Linköping University, Department of Electrical Engineering, Computer Vision. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-7557-4904
Linköping University, Department of Electrical Engineering, Computer Vision. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-6096-3648
2013 (English)In: Image and Vision Computing, ISSN 0262-8856, E-ISSN 1872-8138, Vol. 31, no 5, 401-417 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we introduce a novel framework for low-level image processing and analysis. First, we process images with very simple, difference-based filter functions. Second, we fit the 2-parameter Weibull distribution to the filtered output. This maps each image to the 2D Weibull manifold. Third, we exploit the information geometry of this manifold and solve low-level image processing tasks as minimisation problems on point sets. For a proof-of-concept example, we examine the image autofocusing task. We propose appropriate cost functions together with a simple implicitly-constrained manifold optimisation algorithm and show that our framework compares very favourably against common autofocus methods from literature. In particular, our approach exhibits the best overall performance in terms of combined speed and accuracy

Place, publisher, year, edition, pages
Elsevier, 2013. Vol. 31, no 5, 401-417 p.
Keyword [en]
Weibull distribution;image processing;Weibull manifold;image autofocus
National Category
Engineering and Technology Computer Vision and Robotics (Autonomous Systems)
Identifiers
URN: urn:nbn:se:liu:diva-90879DOI: 10.1016/j.imavis.2013.03.004ISI: 000319713100004OAI: oai:DiVA.org:liu-90879DiVA: diva2:614862
Projects
GARNICSCADICSVPSETT
Funder
EU, FP7, Seventh Framework Programme, 249747Swedish Research CouncilLinnaeus research environment CADICSSwedish Foundation for Strategic Research , IIS11-0081
Available from: 2013-04-11 Created: 2013-04-08 Last updated: 2017-12-06Bibliographically approved

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Zografos, VasileiosLenz, ReinerFelsberg, Michael

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