A survey of qualitative spatial representations
J Chen, AG Cohn, D Liu, S Wang… - The Knowledge …, 2015 - cambridge.org
Representation and reasoning with qualitative spatial relations is an important problem in
artificial intelligence and has wide applications in the fields of geographic information …
artificial intelligence and has wide applications in the fields of geographic information …
Qualitative spatial-relation reasoning for design
MJ Egenhofer - Studying visual and spatial reasoning for design …, 2015 - Springer
Qualitative spatial relations are symbol abstractions of geometric representations, which
allow computational analyses independent of, but consistent with, graphical depictions. This …
allow computational analyses independent of, but consistent with, graphical depictions. This …
The 9 + -Intersection: A Universal Framework for Modeling Topological Relations
Y Kurata - … Science: 5th International Conference, GIScience 2008 …, 2008 - Springer
The 9+-intersection is an extension of the 9-intersection, which distinguishes the topological
relations between various spatial objects by the pattern of a nested matrix. This paper …
relations between various spatial objects by the pattern of a nested matrix. This paper …
A generalized 9-intersection model for topological relations between regions with holes
L Leng, F Wang, M Wang, G Yang, X Niu… - … International Journal of …, 2022 - mdpi.com
Current models cannot distinguish detailed topological relations between regions with
holes. In order to solve this problem, a new detailed representation model for topological …
holes. In order to solve this problem, a new detailed representation model for topological …
Binary topological relations on the digital sphere
Topological relations are the predominant backbone of qualitative spatial reasoning,
focusing to date mostly on objects that are embedded in R 2. With the advent of ball-shaped …
focusing to date mostly on objects that are embedded in R 2. With the advent of ball-shaped …
Object-agnostic Affordance Categorization via Unsupervised Learning of Graph Embeddings
Acquiring knowledge about object interactions and affordances can facilitate scene
understanding and human-robot collaboration tasks. As humans tend to use objects in many …
understanding and human-robot collaboration tasks. As humans tend to use objects in many …
Surrounds in partitions
Surrounds is a topological relation that can exist between two regions or between
collections of regions in R 2. This paper provides an algebraic construction for surrounds …
collections of regions in R 2. This paper provides an algebraic construction for surrounds …
Identification of enclaves and exclaves by computation based on point-set topology
X Wang - International Journal of Geographical Information …, 2023 - Taylor & Francis
Enclaves and exclaves have special roles in geography and are of particular importance to
fields such as (geo) politics and economy. However, enclaves and exclaves have not been …
fields such as (geo) politics and economy. However, enclaves and exclaves have not been …
A reference system for topological relations between compound spatial objects
MJ Egenhofer - International Conference on Conceptual Modeling, 2009 - Springer
A current trend in the development of spatial-relation ontologies is to capture more and more
details about the geometries of the spatial objects that are related, primarily by topological …
details about the geometries of the spatial objects that are related, primarily by topological …
The Topology of Spatial Scenes in ℝ2
Spatial scenes are abstractions of some geographic reality, focusing on the spatial objects
identified and their spatial relations. Such qualitative models of space enable spatial …
identified and their spatial relations. Such qualitative models of space enable spatial …