Inhomogeneous spatial modelling of DPT pulses for marine images

Inger Fabris-rotelli (Corresponding Author), A. Stein

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

The 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.
Original languageEnglish
Pages (from-to)257-270
JournalSpatial statistics
Volume28
Early online date27 Aug 2018
DOIs
Publication statusPublished - 1 Dec 2018

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Spatial Modeling
transform
Mathematical transformations
Transform
modeling
inhomogeneity
conditioning
sea surface
decomposition
Decomposition
Connected Components
Inhomogeneity
Conditioning
Model
Ocean
simulation
Decompose
Modeling

Keywords

  • ITC-ISI-JOURNAL-ARTICLE

Cite this

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abstract = "The 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 Mat{\'e}rn 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 Mat{\'e}rn 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.",
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Inhomogeneous spatial modelling of DPT pulses for marine images. / Fabris-rotelli, Inger (Corresponding Author); Stein, A.

In: Spatial statistics, Vol. 28, 01.12.2018, p. 257-270.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Inhomogeneous spatial modelling of DPT pulses for marine images

AU - Fabris-rotelli, Inger

AU - Stein, A.

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