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Orientation fields filtering by derivatives of a Gaussian
Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), Halmstad Embedded and Intelligent Systems Research (EIS).ORCID iD: 0000-0002-4929-1262
TietoEnator ArosTech, Linköping, Sweden.
Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), Halmstad Embedded and Intelligent Systems Research (EIS).
2003 (English)In: Proceedings of the 13th Scandinavian Conference on Image Analysis (SCIA 2003), Halmstad, Sweden, Date: jun 29-jul 02, 2003, Berlin: Springer Berlin/Heidelberg, 2003, Vol. LNCS-2749, p. 19-27Conference paper, Published paper (Other academic)
Abstract [en]

We suggest a set of complex differential operators, symmetry derivatives, that can be used for matching and pattern recognition. We present results on the invariance properties of these. These show that all orders of symmetry derivatives of Gaussians yield a remarkable invariance : they are obtained by replacing the original differential polynomial with the same polynomial but using ordinary scalars. Moreover, these functions are closed under convolution and they are invariant to the Fourier transform. The revealed properties have practical consequences for local orientation based feature extraction. This is shown by two applications: i) tracking markers in vehicle tests ii) alignment of fingerprints.

Place, publisher, year, edition, pages
Berlin: Springer Berlin/Heidelberg, 2003. Vol. LNCS-2749, p. 19-27
Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; 2749
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hh:diva-14917DOI: 10.1007/3-540-45103-X_4ISI: 000185178400004Scopus ID: 2-s2.0-35248859353ISBN: 978-3-540-40601-3 ISBN: 978-3-540-45103-7 OAI: oai:DiVA.org:hh-14917DiVA, id: diva2:408404
Conference
13th Scandinavian Conference on Image Analysis (SCIA 2003), Halmstad, Sweden, Date: jun 29-jul 02, 2003
Available from: 2011-04-04 Created: 2011-04-04 Last updated: 2018-03-23Bibliographically approved

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Bigun, JosefNilsson, Kenneth

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CiteExportLink to record
Permanent link

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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