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Spatial Statistics: Methodological Aspects and Applications pp 141–167Cite as

Estimation of Motion from Sequences of Images

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Part of the book series: Lecture Notes in Statistics ((LNS,volume 159))

Abstract

The estimation of smooth velocity fields from sequences of images is of great interest in many domains in natural sciences such as meteorology and physical oceanography. We suggest a model, which is a discretization of the continuity equation. We assume absence of divergence. This property is preserved in our discretization. Because we deal with an errors-in-variables phenomenon, we use a penalized least squares method to estimate the displacement field. The penalty term includes a difference-based estimate of noise variance.

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Authors
  1. Verena Gelpke
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  2. Hans R. Künsch
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Editor information

Editors and Affiliations

  1. Département de mathématiques et de génie industriel, École Polytechnique de Montréal, C.P. 6079, Succursale Centre-ville, Montréal, Québec, H3C 3A7, Canada

    Marc Moore

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© 2001 Springer Science+Business Media New York

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Gelpke, V., Künsch, H.R. (2001). Estimation of Motion from Sequences of Images. In: Moore, M. (eds) Spatial Statistics: Methodological Aspects and Applications. Lecture Notes in Statistics, vol 159. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0147-9_7

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  • DOI: https://doi.org/10.1007/978-1-4613-0147-9_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-95240-6

  • Online ISBN: 978-1-4613-0147-9

  • eBook Packages: Springer Book Archive

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