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Robust high-quality interpolation of regions to moving regions

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Abstract

With the rise of moving object databases it is possible to store and process spatial and temporal data, for example geometrical structures together with the information about how these behave over intervals of time. For simple objects like moving points the spatiotemporal development is derived from the start and end position in space and time, which is then linearly interpolated. For moving regions, especially with changing shapes, it is more challenging to obtain the necessary data to represent them. An elegant and intuitive solution is to create an algorithm, which automatically interpolates the moving region from the start and end shape over a specified time interval. Two papers on this topic have been published in the past, each focussing on different aspects of this so-called Region Interpolation Problem. This paper tries to combine the advantages and improve these approaches to provide high-quality interpolations while maintaining robustness even in border cases. This results in the implementation of a library, which can be easily integrated into existing moving objects database systems, as for example the DBMS Secondo developed at the FernUniversität in Hagen.

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Notes

  1. These can be calculated by, e.g. the Graham Scan as described in [5].

  2. O(n log n) with n as the number of segments of both faces.

  3. http://dna.fernuni-hagen.de/secondo/. For more information, see also [3].

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Authors and Affiliations

  1. Database Systems for New Applications, FernUniversität in Hagen, Hagen, Germany

    Florian Heinz & Ralf Hartmut Güting

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  1. Florian Heinz
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  2. Ralf Hartmut Güting
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Correspondence to Florian Heinz.

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Heinz, F., Güting, R.H. Robust high-quality interpolation of regions to moving regions. Geoinformatica 20, 385–413 (2016). https://doi.org/10.1007/s10707-015-0240-z

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