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Mathematical Morphology on Irregularly Sampled Data in One Dimension
Uppsala University.
Flagship Biosciences Inc, Colorado, USA.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems. Innovative Machine Vision Pty Ltd.ORCID iD: 0000-0001-6186-7116
Uppsala University.
2017 (English)In: Mathematical Morphology : Theory and Applications, ISSN 2353-3390Article in journal (Refereed) Accepted
Abstract [en]

Mathematical morphology (MM) on grayscale images is commonly performed in the discretedomain on regularly sampled data. However, if the intention is to characterize or quantify continuousdomainobjects, then the discrete-domain morphology is affected by discretization errors that may bealleviated by considering the underlying continuous signal, given a correctly sampled bandlimited image.Additionally, there are a number of applications where MM would be useful and the data is irregularlysampled. A common way to deal with this is to resample the data onto a regular grid. Often this createsproblems where data is interpolated in areas with too few samples. In this paper, an alternative way ofthinking about the morphological operators is presented. This leads to a new type of discrete operatorsthat work on irregularly sampled data. These operators are shown to be morphological operators thatare consistent with the regular, morphological operators under the same conditions, and yield accurateresults under certain conditions where traditional morphology performs poorly

Place, publisher, year, edition, pages
De Gruyter Open, 2017.
Keyword [en]
mathematical morphology
National Category
Signal Processing
Research subject
Signal Processing
Identifiers
URN: urn:nbn:se:ltu:diva-66189OAI: oai:DiVA.org:ltu-66189DiVA: diva2:1150576
Projects
Noggranna bildbaserade mätningar genom oregelbunden sampling
Funder
Swedish Research Council, E0598301
Available from: 2017-10-19 Created: 2017-10-19 Last updated: 2017-11-24

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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
  • html
  • text
  • asciidoc
  • rtf