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Multiscale complex moments of the local power spectrum
Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), Halmstad Embedded and Intelligent Systems Research (EIS).
Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), Halmstad Embedded and Intelligent Systems Research (EIS).ORCID iD: 0000-0002-4929-1262
2007 (English)In: Journal of the Optical Society of America A, ISSN 0740-3232, Vol. 24, no 3, p. 618-625Article in journal (Refereed) Published
Abstract [en]

Complex moments of the local power spectrum (CMP) are investigated in a multiscale context. The multiscale CMPs are shown to approximate well the 1D angular Fourier transform of the band in question. This observation is used to derive further properties of the power spectrum in terms of texture orientations or n-folded symmetry patterns. A method is presented to approximate the power spectrum using only separable filtering in the spatial domain. Interesting implications to the Gabor decomposition are shown. The number of orientations in the filter bank is related to the order of n-folded symmetry detectable. Furthermore, the multiscale CMPs can be estimated incrementally in the spatial domain, which is both fast and reliable. Experiments on power spectrum estimation, orientation estimation, and texture segmentation are presented.

Place, publisher, year, edition, pages
Washington: Optical Society of America, 2007. Vol. 24, no 3, p. 618-625
Keywords [en]
Image analysis, Pattern recognition, Rotation-invariant pattern recognition
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hh:diva-2069DOI: 10.1364/JOSAA.24.000618ISI: 000244407300006PubMedID: 17301851Scopus ID: 2-s2.0-34047124800Local ID: 2082/2464OAI: oai:DiVA.org:hh-2069DiVA, id: diva2:239287
Available from: 2008-10-20 Created: 2008-10-20 Last updated: 2018-03-23Bibliographically approved

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Karlsson, StefanBigun, Josef

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf