Adaptive Mathematical Morphology on Irregularly Sampled Signals in Two Dimensions

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Keyword: Engineering and Technology, Electrical Engineering, Electronic Engineering, Information Engineering, Signal Processing, Teknik och teknologier, Elektroteknik och elektronik, Signalbehandling, Mathematical morphology
Publication year: 2019

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.


Teo Asplund

Uppsala University
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Cris Luengo Hendriks

Flagship Biosciences Inc, Colorado, USA
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Matthew Thurley

Luleå tekniska universitet; Signaler och system; Innovative Machine Vision Pty Ltd
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Robin Strand

Uppsala University
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