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    Filters for Spatial point Processes

    200123_130401_filters_for_spatial_point_processes.pdf (342.0Kb)
    Access Status
    Open access
    Authors
    Singh, S.
    Vo, Ba-Ngu
    Baddeley, A.
    Zuyev, S.
    Date
    2009
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Singh, S. and Vo, B. and Baddeley, A. and Zuyev, S. 2009. Filters for Spatial point Processes. SIAM Journal on Control and Optimization. 48 (4): pp. 2275-2295.
    Source Title
    SIAM Journal on Control and Optimization
    Additional URLs
    http://ba-ngu.vo-au.com/vo/SVBZ_SIAM.pdf
    ISSN
    03630129
    School
    Department of Electrical and Computer Engineering
    Remarks

    Copyright © 2009, Society for Industrial and Applied Mathematics

    URI
    http://hdl.handle.net/20.500.11937/36974
    Collection
    • Curtin Research Publications
    Abstract

    Let X and Y be two jointly distributed spatial Point Processes on X and Y respectively (both complete separable metric spaces). We address the problem of estimating X, which is the hidden Point Process (PP), given the realisation y of the observed PP Y. We characterise the posterior distribution of X when it is marginally distributed according to a Poisson and Gauss-Poisson prior and when the transformation from X to Y includes thinning, displacement and augmentation with extra points. These results are then applied in a filtering context when the hidden process evolves in discrete time in a Markovian fashion. The dynamics of X considered are general enough for many target tracking applications.

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