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Documents authored by Bank, Bernd

Document
DOI: 10.4230/DagSemProc.07212.1
07212 Abstracts Collection – Constraint Databases, Geometric Elimination ang Geographic Information Systems

Authors: Bernd Bank, Max J. Egenhofer, and Bart Kuijpers

Published in: Dagstuhl Seminar Proceedings, Volume 7212, Constraint Databases, Geometric Elimination and Geographic Information Systems (2007)

Abstract
From 20.05. to 25.05., the Dagstuhl Seminar 07212 ``Constraint Databases, Geometric Elimination and Geographic Information Systems'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Bernd Bank, Max J. Egenhofer, and Bart Kuijpers. 07212 Abstracts Collection – Constraint Databases, Geometric Elimination ang Geographic Information Systems. In Constraint Databases, Geometric Elimination and Geographic Information Systems. Dagstuhl Seminar Proceedings, Volume 7212, pp. 1-9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)

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@InProceedings{bank_et_al:DagSemProc.07212.1,
  author =	{Bank, Bernd and Egenhofer, Max J. and Kuijpers, Bart},
  title =	{{07212 Abstracts Collection – Constraint Databases, Geometric Elimination ang Geographic Information Systems}},
  booktitle =	{Constraint Databases, Geometric Elimination and Geographic Information Systems},
  pages =	{1--9},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2007},
  volume =	{7212},
  editor =	{Bernd Bank and Max J. Egenhofer and Bart Kuijpers},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.07212.1},
  URN =		{urn:nbn:de:0030-drops-12870},
  doi =		{10.4230/DagSemProc.07212.1},
  annote =	{Keywords: Constraint databases, geometric elimination, quantier elimination algorithms, geographic information systems}
}
Document
DOI: 10.4230/DagSemProc.07212.2
07212 Manifesto – Constraint Databases, Geometric Elimination ang Geographic Information Systems

Authors: Bernd Bank, Max J. Egenhofer, Joos Heintz, Bart Kuijpers, and Peter Revesz

Published in: Dagstuhl Seminar Proceedings, Volume 7212, Constraint Databases, Geometric Elimination and Geographic Information Systems (2007)

Abstract
During the last two decades the topic of constraint databases has evolved into a mature area of computer science with sound mathematical foundations and with a profound theoretical understanding of the expressive power of a variety of query languages. Constraint databases are especially suited for applications in which possibly infinite sets of continuous data, that have a geometric interpretation, need to be stored in a computer. Today, the most important application domains of constraint databases are geographic information systems (GIS), spatial databases and spatio-temporal databases. In these applications infinite geometrical sets of continuous data are finitely represented by means of finite combinations of polynomial equality and inequality constraints that describe these data sets (in mathematical terms these geometrical data sets are known as semi-algebraic sets and they have been extensively studied in real algebraic geometry). On the other hand, constraint databases provide us with a new view on classic (linear and nonlinear) optimization theory.
Cite as

Bernd Bank, Max J. Egenhofer, Joos Heintz, Bart Kuijpers, and Peter Revesz. 07212 Manifesto – Constraint Databases, Geometric Elimination ang Geographic Information Systems. In Constraint Databases, Geometric Elimination and Geographic Information Systems. Dagstuhl Seminar Proceedings, Volume 7212, pp. 1-7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)

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@InProceedings{bank_et_al:DagSemProc.07212.2,
  author =	{Bank, Bernd and Egenhofer, Max J. and Heintz, Joos and Kuijpers, Bart and Revesz, Peter},
  title =	{{07212 Manifesto – Constraint Databases, Geometric Elimination ang Geographic Information Systems}},
  booktitle =	{Constraint Databases, Geometric Elimination and Geographic Information Systems},
  pages =	{1--7},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2007},
  volume =	{7212},
  editor =	{Bernd Bank and Max J. Egenhofer and Bart Kuijpers},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.07212.2},
  URN =		{urn:nbn:de:0030-drops-12824},
  doi =		{10.4230/DagSemProc.07212.2},
  annote =	{Keywords: Constraint databases, elimination procedures, geographical information systems}
}
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