Inhomogeneous spatial modelling of DPT pulses for marine images

dc.contributor.authorFabris-Rotelli, Inger Nicolette
dc.contributor.authorStein, Alfred
dc.contributor.emailinger.fabris-rotelli@up.ac.zaen_ZA
dc.date.accessioned2018-10-01T09:30:22Z
dc.date.issued2018-12
dc.description.abstractThe Discrete Pulse Transform (DPT) is a nonlinear decomposition of a signal and extracts the structures in a signal at discrete scale levels. This study models the image structure extracted using the DPT as connected components. For this purpose, the Matérn cluster process is being used as it mimics the pulses of the DPT as clusters. In this paper it is applied to a marine image. Inhomogeneity of the pattern is dealt with by means of the fitted intensity. The model residuals exhibited the same pattern as the original image, and a refit resulted in residuals without pattern. The study concludes that the Matérn cluster model well fits the pulses obtained using the DPT and is well able to model the wave pulses of the ocean surface as clusters. This type of hierarchical cluster modelling presents interesting opportunities for simulations via conditioning.en_ZA
dc.description.departmentStatisticsen_ZA
dc.description.embargo2019-12-01
dc.description.librarianhj2018en_ZA
dc.description.sponsorshipIn part by the National Research Foundation of South Africa (SARChI Research Chair-UID: 71199).en_ZA
dc.description.urihttp://www.elsevier.com/locate/spastaen_ZA
dc.identifier.citationFabris-Rotelli, I. & Stein, A. 2018, 'Inhomogeneous spatial modelling of DPT pulses for marine images', Spatial Statistics, vol. 28, pp. 257-270.en_ZA
dc.identifier.issn2211-6753 (online)
dc.identifier.other10.1016/j.spasta.2018.08.004
dc.identifier.urihttp://hdl.handle.net/2263/66672
dc.language.isoenen_ZA
dc.publisherElsevieren_ZA
dc.rights© 2018 Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Spatial Statistics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Spatial Statistics, vol. 28, pp. 257-27, 2018. doi : 10.1016/j.spasta.2018.08.004.en_ZA
dc.subjectDiscrete pulse transform (DPT)en_ZA
dc.subjectMatérn cluster processen_ZA
dc.subjectSpatial modellingen_ZA
dc.subjectInhomogeneityen_ZA
dc.subjectLULU operatorsen_ZA
dc.subjectBig spatial dataen_ZA
dc.titleInhomogeneous spatial modelling of DPT pulses for marine imagesen_ZA
dc.typePostprint Articleen_ZA

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