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) (KAR id:69834)
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Official URL: 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 |
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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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Alfred Kume |
Date Deposited: | 29 Oct 2018 14:43 UTC |
Last Modified: | 28 Jul 2022 22:08 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/69834 (The current URI for this page, for reference purposes) |
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