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A new approach to mathematical morphology on one dimensional sampled signals
Uppsala University.
Centre for Image Analysis, Uppsala University and Swedish University of Agricultural Sciences.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0001-6186-7116
Uppsala University.
2016 (English)In: Proceedings of the 23rd International Conference on Pattern Recognition ICPR 2016, Piscataway, NJ: IEEE Communications Society, 2016, 3904-3909 p.Conference paper, (Refereed)
Abstract [en]

We present a new approach to approximate continuous-domain mathematical morphology operators. The approach is applicable to irregularly sampled signals. We define a dilation under this new approach, where samples are duplicated and shifted according to the flat, continuous structuring element. We define the erosion by adjunction, and the opening and closing by composition. These new operators will significantly increase precision in image measurements. Experiments show that these operators indeed approximate continuous-domain operators better than the standard operators on sampled one-dimensional signals, and that they may be applied to signals using structuring elements smaller than the distance between samples. We also show that we can apply the operators to scan lines of a two-dimensional image to filter horizontal and vertical linear structures.

Place, publisher, year, edition, pages
Piscataway, NJ: IEEE Communications Society, 2016. 3904-3909 p.
National Category
Signal Processing
Research subject
Signal Processing
Identifiers
URN: urn:nbn:se:ltu:diva-40062DOI: 10.1109/ICPR.2016.7900244Local ID: f0a13c20-b5dd-495e-aabb-b1f51125302dISBN: 978-1-5090-4847-2 (electronic)OAI: oai:DiVA.org:ltu-40062DiVA: diva2:1013585
Conference
2016 23rd International Conference on Pattern Recognition (ICPR), Cancun, Mexico, 4-8 Dec. 2016
Available from: 2016-10-03 Created: 2016-10-03 Last updated: 2017-06-15Bibliographically approved

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CiteExportLink to record
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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
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  • text
  • asciidoc
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