Abstract

Abstract We consider the problem of detecting features, such as minefields or seismic faults, in spatial point processes when there is substantial clutter. We use model-based clustering based on a mixture model for the process, in which features are assumed to generate points according to highly linear multivariate normal densities, and the clutter arises according to a spatial Poisson process. Nonlinear features are represented by several densities, giving a piecewise linear representation. Hierarchical model-based clustering provides a first estimate of the features, and this is then refined using the EM algorithm. The number of features is estimated from an approximation to its posterior distribution. The method gives good results for the minefield and seismic fault problems. Software to implement it is available on the World Wide Web.

Keywords

Cluster analysisClutterPoint processComputer scienceData miningRepresentation (politics)Pattern recognition (psychology)Poisson distributionAlgorithmArtificial intelligenceMathematicsRadarStatistics

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Publication Info

Year
1998
Type
article
Volume
93
Issue
441
Pages
294-302
Citations
409
Access
Closed

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Abhijit Dasgupta, Adrian E. Raftery (1998). Detecting Features in Spatial Point Processes with Clutter via Model-Based Clustering. Journal of the American Statistical Association , 93 (441) , 294-302. https://doi.org/10.1080/01621459.1998.10474110

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DOI
10.1080/01621459.1998.10474110