Abstract
In this contribution we consider an optimization problem constrained by a system of state equations coupling the nonstationary model for gray-value transport in an image sequence to the physical model of a transport field resulting in the gray-value evolution. Since in this situation the movement over the boundaries is often unknown, we use a Dirichlet-boundary control formulation for the determination of the transport field.
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Acknowledgements
This article based on collaboration with Prof. Dr. Dr. h.c. R. Rannacher (IAM, University Heidelberg) and Priv.-Doz. Dr. C. S. Garbe (IPM, University Heidelberg). The author gratefully acknowledge both of them for many fruitful discussions and their support.
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Klinger, M. (2013). Parameter Estimation Problems in Physically Based Image Processing. In: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. (eds) Numerical Mathematics and Advanced Applications 2011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33134-3_21
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DOI: https://doi.org/10.1007/978-3-642-33134-3_21
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