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Shape Inference and the Offset-Normal Distribution

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Abstract

In this chapter we work directly with the offset-normal shape distribution as a probability model for statistical inference on a sample of landmark configurations. This enables inference for induced Gaussian processes from configurations onto the shape space. Following Kume and Welling (J Comput Graph Stat 19:702–723, 2010), an Expectation Maximization (EM) algorithm for computing exact maximum likelihood (ML) estimation of the involved parameters is discussed. The chapter concludes with an application on facial expression analysis.

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Brombin, C., Salmaso, L., Fontanella, L., Ippoliti, L., Fusilli, C. (2016). Shape Inference and the Offset-Normal Distribution. In: Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications. SpringerBriefs in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-26311-3_2

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