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Adaptive Mathematical Morphology on Irregularly Sampled Signals in Two Dimensions
Centre for Image Analysis, Vi2, Dept. IT, Uppsala University, Uppsala, Sweden.
Flagship Biosciences Inc., Westminster, Colorado, USA.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0001-6186-7116
Centre for Image Analysis, Vi2, Dept. IT, Uppsala University, Uppsala, Sweden.
2020 (English)In: Mathematical Morphology : Theory and Applications, ISSN 2353-3390, Vol. 4, no 1, p. 108-126Article in journal (Refereed) Published
Abstract [en]

This paper proposes a way of better approximating continuous, two-dimensional morphologyin the discrete domain, by allowing for irregularly sampled input and output signals. We generalizeprevious work to allow for a greater variety of structuring elements, both flat and non-flat. Experimentallywe show improved results over regular, discrete morphology with respect to the approximation ofcontinuous morphology. It is also worth noting that the number of output samples can often be reducedwithout sacrificing the quality of the approximation, since the morphological operators usually generateoutput signals with many plateaus, which, intuitively do not need a large number of samples to be correctlyrepresented. Finally, the paper presents some results showing adaptive morphology on irregularlysampled signals.

Place, publisher, year, edition, pages
Walter de Gruyter, 2020. Vol. 4, no 1, p. 108-126
Keywords [en]
Mathematical morphology, irregular sampling, adaptive morphology, non-flat morphology, ellip-tical structuring elements, local structure tensor
National Category
Signal Processing
Research subject
Signal Processing
Identifiers
URN: urn:nbn:se:ltu:diva-76624DOI: 10.1515/mathm-2020-0104OAI: oai:DiVA.org:ltu-76624DiVA, id: diva2:1368089
Conference
14th International Symposium on Mathematical Morphology (ISMM 2019), Saarbrücken, Germany, July 8–10, 2019.
Projects
Noggranna bildbaserade mätningar genom oregelbunden sampling
Funder
Swedish Research Council, 2014-5983
Note

Godkänd;2022;Nivå 0;2022-08-24 (hanlid);Konferensartikel i tidskrift

Available from: 2019-11-05 Created: 2019-11-05 Last updated: 2022-08-24Bibliographically approved

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Thurley, Matthew J.

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