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Dimension-Refined Topological Predicates

by Mark McKenney, Alejandro Pauly, Reasey Praing, Markus Schneider , 2005
"... Topological predicates, as derived from the 9-intersection model, have been widely recognized in GIS, spatial database systems, and many other geo-related disciplines. They are based on the evaluation of nine Boolean predicates checking the intersections of the boundary, interior, and exterior of a ..."
Abstract - Cited by 9 (1 self) - Add to MetaCart
Topological predicates, as derived from the 9-intersection model, have been widely recognized in GIS, spatial database systems, and many other geo-related disciplines. They are based on the evaluation of nine Boolean predicates checking the intersections of the boundary, interior, and exterior of a

User Defined Topological Predicates in Database

by Thomas Behr, Ralf Hartmut Güting, D- Hagen, Thomas Behr, Ralf Hartmut Güting , 2008
"... Current database systems cannot only store standard data like integer, string, and real values, but also spatial data like points, lines, and regions. The importance of topological relationships between spatial objects has been recognized a long time ago. Using the well known 9 intersection model fo ..."
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for describing such relationships, a lot of constellations can be distinguished. For the query language of a database system it is not desirable to have such a large number of topological predicates. Particularly the query lan-guage should not be extended by a large number of topological predicates. This paper

Implementing Topological Predicates for Complex Regions

by Markus Schneider - Int. Symp. on Spatial Data Handling , 2002
"... Topological predicates on spatial objects have been a main area of research in spatial data handling, reasoning, and query languages. The focus of research, has, to a large extent, been on the design of and reasoning with these predicates, whereas implementation issues have been somewhat neglected. ..."
Abstract - Cited by 5 (3 self) - Add to MetaCart
Topological predicates on spatial objects have been a main area of research in spatial data handling, reasoning, and query languages. The focus of research, has, to a large extent, been on the design of and reasoning with these predicates, whereas implementation issues have been somewhat neglected

Topological predicates between vague spatial objects

by Alejandro Pauly, Markus Schneider - IN 9TH INT. SYMP. ON SPATIAL AND TEMPORAL DATABASES (SSDT), LECTURE NOTES IN COMPUTER SCIENCE , 2005
"... Topological predicates are an important element of database systems that allow manipulation of spatial data. Based on the necessity for such systems to handle uncertainty, we introduce a general mechanism that identifies vague topological predicates. This definition forms part of a formal data mode ..."
Abstract - Cited by 9 (5 self) - Add to MetaCart
Topological predicates are an important element of database systems that allow manipulation of spatial data. Based on the necessity for such systems to handle uncertainty, we introduce a general mechanism that identifies vague topological predicates. This definition forms part of a formal data

User Defined Topological Predicates in Database Systems

by Thomas Behr, Ralf Hartmut Güting, Thomas Behr, Ralf Hartmut Güting , 2008
"... Current database systems cannot only store standard data like integer, string, and real values, but also spatial data like points, lines, and regions. The importance of topological relationships between spatial objects has been recognized a long time ago. Using the well known 9 intersection model fo ..."
Abstract - Add to MetaCart
for describing such relationships, a lot of constellations can be distinguished. For the query language of a database system it is not desirable to have such a large number of topological predicates. Particularly the query lan-guage should not be extended by a large number of topological predicates. This paper

Efficient Evaluation Techniques for Topological Predicates on Complex Regions

by Reasey Praing, Markus Schneider
"... Summary. Topological predicates between spatial objects have for a long time been a focus of intensive research in a number of diverse disciplines. In the context of spatial databases and geographical information systems, they support the construction of suitable query languages for spatial data ret ..."
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Summary. Topological predicates between spatial objects have for a long time been a focus of intensive research in a number of diverse disciplines. In the context of spatial databases and geographical information systems, they support the construction of suitable query languages for spatial data

ABSTRACT Identifying Topological Predicates for Vague Spatial Objects

by Ro Pauly, Markus Schneider
"... Many geographical applications deal with spatial objects that cannot be adequately described by determinate, crisp concepts because of their intrinsically indeterminate and vague nature. GIS and spatial database systems are currently unable to handle this kind of data. Based on recent work on vague ..."
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spatial data types, which are part of a formal data model called VASA (Vague Spatial Algebra) and which leverage exact models of crisp spatial data types, this paper introduces a general mechanism for identifying topological predicates for vague spatial objects by means of topological predicates for crisp

Fuzzy Topological Predicates, Their Properties, and Their Integration into Query Languages

by Markus Schneider - 9th ACM Symp. on Geographic Information Systems (ACM GIS , 2001
"... For a long time topological relationships between spatial objects have been a main focus of research on spatial data handling and reasoning. They have especially been integrated into query languages of spatial database systems and geographical information systems. One of their fundamental features i ..."
Abstract - Cited by 10 (4 self) - Add to MetaCart
regions and focuses on the definition of topological predicates between them. Moreover, some properties of these predicates are shown, and we demonstrate how the predicates can be integrated into a query language. Keywords Fuzzy region, fuzzy spatial query language 1.

Modeling Fuzzy Topological Predicates for Fuzzy Regions

by Anderson Chaves Carniel, Markus Schneider, Ricardo Rodrigues Ciferri, Cristina Dutra, Aguiar Ciferri
"... Spatial database systems and Geographical Information Sys-tems (GIS) are currently only able to handle crisp spatial objects, i.e., objects whose extent, shape, and boundary are precisely determined. However, GIS applications are also interested in managing vague or fuzzy spatial objects. Spa-tial f ..."
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spatial objects. In this paper, we propose a novel model to formally define fuzzy topological predicates for sim-ple and complex fuzzy regions. The model encompasses six fuzzy predicates (overlap, disjoint, inside, contains, equal and meet), wherein here we focus on the fuzzy overlap and the fuzzy

A Design of Topological Predicates for Complex Crisp and Fuzzy Regions

by Markus Schneider - Int. Conf. on Conceptual Modeling , 2001
"... For a long time topological predicates between spatial objects have been a main area of research on spatial data handling, reasoning, and query languages. But these predicates still suffer from two main restrictions: first, they are only applicable to simplified abstractions of spatial objects l ..."
Abstract - Cited by 19 (8 self) - Add to MetaCart
For a long time topological predicates between spatial objects have been a main area of research on spatial data handling, reasoning, and query languages. But these predicates still suffer from two main restrictions: first, they are only applicable to simplified abstractions of spatial objects
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