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Detection of Essential Changes in Spatio-Temporal Processes with Applications to Camera Based Quality Control

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Stochastic Models, Statistics and Their Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 122))

Abstract

Our aim in this paper is to propose a simple detector of changes in time that is well suited for parallel use at a large number of spatial sites, since our main motivation is change detection in a sequence of images that are dedicated for quality control of continuously running industrial processes.

An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-3-319-13881-7_54

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Notes

  1. 1.

    It is convenient to work with a rectangular domain, but all the considerations convey easily to other domains, integer lattices or finite sets.

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Acknowledgements

The paper was supported by the National Council for Research of Polish Government under grant 2012/07/B/ST7/01216, internal code 350914 of Wrocław University of Technology.

The author would like to express his thanks to anonymous referees for comments clarifying the presentation.

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Authors and Affiliations

  1. Institute of Computer Engineering, Control and Robotics, Wrocław University of Technology, Wrocław, Poland

    Ewaryst Rafajłowicz

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  1. Ewaryst Rafajłowicz
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Correspondence to Ewaryst Rafajłowicz .

Editor information

Editors and Affiliations

  1. Institute of Statistics, RWTH Aachen University, Aachen, Germany

    Ansgar Steland

  2. Dept. of Computer Engineering, Control and Robotics, Wrocław University of Technology, Wrocław, Poland

    Ewaryst Rafajłowicz

  3. Inst. of Mathematics and Computer Science, Wrocław University of Technology, Wrocław, Poland

    Krzysztof Szajowski

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Rafajłowicz, E. (2015). Detection of Essential Changes in Spatio-Temporal Processes with Applications to Camera Based Quality Control. In: Steland, A., Rafajłowicz, E., Szajowski, K. (eds) Stochastic Models, Statistics and Their Applications. Springer Proceedings in Mathematics & Statistics, vol 122. Springer, Cham. https://doi.org/10.1007/978-3-319-13881-7_48

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