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ER
2005
Springer
94views Database» more  ER 2005»
14 years 14 days ago
Topological Relationships Between Complex Lines and Complex Regions
Abstract. Topological relationships between spatial objects in the twodimensional space have been investigated for a long time in a number of disciplines like artificial intellige...
Markus Schneider, Thomas Behr
COSIT
2009
Springer
179views GIS» more  COSIT 2009»
14 years 1 months ago
An Algebraic Approach to Image Schemas for Geographic Space
Formal models of geographic space should support reasoning about its static and dynamic properties, its objects, their behaviors, and the relationships between them. Image schemas,...
Lisa Walton, Michael F. Worboys
SMI
2007
IEEE
129views Image Analysis» more  SMI 2007»
14 years 1 months ago
Localized Homology
In this paper, we introduce localized homology, a theory for finding local geometric descriptions for topological attributes. Given a space and a cover of subspaces, we construct...
Afra Zomorodian, Gunnar Carlsson
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 8 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
AIML
2006
13 years 8 months ago
Dynamic topological logics over spaces with continuous functions
Dynamic topological logics are combinations of topological and temporal modal logics that are used for reasoning about dynamical systems consisting of a topological space and a con...
Boris Konev, Roman Kontchakov, Frank Wolter, Micha...