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The Offset Normal Shape Distribution for Dynamic Shape Analysis

Fontanella, Lara, Ippoliti, Luigi, Kume, Alfred (2018) The Offset Normal Shape Distribution for Dynamic Shape Analysis. Journal of Computational and Graphical Statistics, 28 (2). pp. 374-385. ISSN 1061-8600. E-ISSN 1537-2715. (doi:10.1080/10618600.2018.1530118)

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https://dx.doi.org/10.1080/10618600.2018.1530118

Abstract

This paper deals with the statistical analysis of landmark data observed at different temporal instants. Statistical analysis of dynamic shapes is a problem with significant challenges due to the difficulty in providing a description of the shape changes over time, across subjects and over groups of subjects. There are several modelling strategies which can be used for dynamic shape analysis. Here, we use the exact distribution theory for the shape of planar correlated Gaussian configurations and derive the induced offset-normal shape distribution. Various properties of this distribution are investigated, and some special cases discussed. This work is a natural progression of what has been proposed in Mardia and Dryden (1989), Dryden and Mardia (1991), Mardia andWalder (1994) and Kume and Welling (2010).

Item Type: Article
DOI/Identification number: 10.1080/10618600.2018.1530118
Uncontrolled keywords: shape analysis, offset-normal shape distribution, EM algorithm, spatio-temporal correlations
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Alfred Kume
Date Deposited: 29 Oct 2018 14:43 UTC
Last Modified: 28 Nov 2019 00:00 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/69834 (The current URI for this page, for reference purposes)
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