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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 tekniska universitet, Institutionen för system- och rymdteknik, Signaler och system.ORCID-id: 0000-0001-6186-7116
Centre for Image Analysis, Vi2, Dept. IT, Uppsala University, Uppsala, Sweden.
2020 (engelsk)Inngår i: Mathematical Morphology : Theory and Applications, ISSN 2353-3390, Vol. 4, nr 1, s. 108-126Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
Walter de Gruyter, 2020. Vol. 4, nr 1, s. 108-126
Emneord [en]
Mathematical morphology, irregular sampling, adaptive morphology, non-flat morphology, ellip-tical structuring elements, local structure tensor
HSV kategori
Forskningsprogram
Signalbehandling
Identifikatorer
URN: urn:nbn:se:ltu:diva-76624DOI: 10.1515/mathm-2020-0104OAI: oai:DiVA.org:ltu-76624DiVA, id: diva2:1368089
Konferanse
14th International Symposium on Mathematical Morphology (ISMM 2019), Saarbrücken, Germany, July 8–10, 2019.
Prosjekter
Noggranna bildbaserade mätningar genom oregelbunden sampling
Forskningsfinansiär
Swedish Research Council, 2014-5983
Merknad

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

Tilgjengelig fra: 2019-11-05 Laget: 2019-11-05 Sist oppdatert: 2022-08-24bibliografisk kontrollert

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Thurley, Matthew J.

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