Publikation:

Map Simplification with Topology Constraints : Exactly and in Practice

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2017

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Funke, Stefan
Mendel, Thomas
Miller, Alexander
Wiebe, Maria

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FEKETE, Sándor, ed., Vijaya RAMACHANDRAN, ed.. 19th Workshop on Algorithm Engineering and Experiments 2017 (ALENEX17) : Barcelona, Spain, 17-18 January 2017. Red Hook, NY: Curran Associates, 2017, pp. 185-196. ISBN 978-1-5108-3586-3. Available under: doi: 10.1137/1.9781611974768.15

Zusammenfassung

We consider the classical line simplification problem subject to a given error bound ∊ but with additional topology constraints as they arise for example in the map rendering domain. While theoretically inapproximability has been proven for these problem variants, we show that in practice one can solve medium sized instances optimally using an integer linear programming approach and larger instances using an heuristic approach which for medium-sized real-world instances yields close-to-optimal results. Our approaches are evaluated on data sets which are synthetically generated, stem from the OpenStreetMap project[1], and the recent GISCup competition [3].

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ALENEX17, 17. Jan. 2017 - 18. Jan. 2017, Barcelona, Spain
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ISO 690FUNKE, Stefan, Thomas MENDEL, Alexander MILLER, Sabine STORANDT, Maria WIEBE, 2017. Map Simplification with Topology Constraints : Exactly and in Practice. ALENEX17. Barcelona, Spain, 17. Jan. 2017 - 18. Jan. 2017. In: FEKETE, Sándor, ed., Vijaya RAMACHANDRAN, ed.. 19th Workshop on Algorithm Engineering and Experiments 2017 (ALENEX17) : Barcelona, Spain, 17-18 January 2017. Red Hook, NY: Curran Associates, 2017, pp. 185-196. ISBN 978-1-5108-3586-3. Available under: doi: 10.1137/1.9781611974768.15
BibTex
@inproceedings{Funke2017Simpl-43425,
  year={2017},
  doi={10.1137/1.9781611974768.15},
  title={Map Simplification with Topology Constraints : Exactly and in Practice},
  isbn={978-1-5108-3586-3},
  publisher={Curran Associates},
  address={Red Hook, NY},
  booktitle={19th Workshop on Algorithm Engineering and Experiments 2017 (ALENEX17) : Barcelona, Spain, 17-18 January 2017},
  pages={185--196},
  editor={Fekete, Sándor and Ramachandran, Vijaya},
  author={Funke, Stefan and Mendel, Thomas and Miller, Alexander and Storandt, Sabine and Wiebe, Maria}
}
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