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Procrustes Alignment with the EM Algorithm

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1689))

Abstract

This paper casts the problem of point-set alignment via Pro- crustes analysis into a maximum likelihood framework using the EM algorithm. The aim is to improve the robustness of the Procrustes alig- nment to noise and clutter. By constructing a Gaussian mixture model over the missing correspondences between individual points, we show how alignment can be realised by applying singular value decomposition to a weighted point correlation matrix. Moreover, by gauging the relational consistency of the assigned correspondence matches, we can edit the point sets to remove clutter. We illustrate the effectiveness of the method matching stereogram. We also provide a sensitivity analysis to demonstrate the operational advantages of the method.

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© 1999 Springer-Verlag Berlin Heidelberg

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Luo, B., Hancock, E.R. (1999). Procrustes Alignment with the EM Algorithm. In: Solina, F., Leonardis, A. (eds) Computer Analysis of Images and Patterns. CAIP 1999. Lecture Notes in Computer Science, vol 1689. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48375-6_74

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  • DOI: https://doi.org/10.1007/3-540-48375-6_74

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66366-9

  • Online ISBN: 978-3-540-48375-5

  • eBook Packages: Springer Book Archive

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