On the Equivalence of Topological Relations

No abstract is available for this paper.

• Publication year

  1995

• Venue

  International Journal of Geographical Information Science

• Publication date

  1995-03-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1080/02693799508902030
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Topological Relations Between Regions in IR 2 and ZZ 2 *

  1993cited by this paper
• Topological Relations Between Regions in R² and Z²

  1993cited by this paper
• A Small Set of Formal Topological Relationships Suitable for End-User Interaction

  1993cited by this paper
• Why not SQL!

  1992cited by this paper
• Reasoning about Gradual Changes of Topological Relationships

  1992cited by this paper
• Algebraic approach to spatial reasoning

  1992cited by this paper
• A generic model for planar geographical objects

  1992cited by this paper
• Theories and Methods of Spatio-Temporal Reasoning in Geographic Space

  1992cited by this paper
• A Model for Expressing topological Integrity Constraints in Geographic Databases

  1992cited by this paper
• An Overview of FIPS 173, The Spatial Data Transfer Standard

  1992cited by this paper
• Storage and manipulation of topology in Postgres.

  1992cited by this paper
• The Jordan-Scho¨nflies theorem and the classification of surfaces

  1992cited by this paper
• Topological structures for 4-dimensional geographic information systems

  1992cited by this paper
• Geo-SAL: A Query Language for Spatial Data Analysis

  1991cited by this paper
• The Mathematical Modeling of Spatial and Non-Spatial Information in Geographic Information Systems

  1991influential reference
• Cognitive and Linguistic Aspects of Geographic Space: New Perspectives on Geographic Information Research

  1991cited by this paper
• Reasoning about Binary Topological Relations

  1991cited by this paper
• A Topological Data Model for Spatial Databases

  1990cited by this paper
• A Formal Definition of Binary Topological Relationships

  1989cited by this paper
• Design and Implementation of Large Spatial Databases

  1989cited by this paper
• Cell Graphs: A Provable Correct Method for the Storage of Geometry *

  1986cited by this paper
• International symposium on spatial data handling

  1984cited by this paper
• MAPQUERY: Data base query language for retrieval of geometric data and their graphical representation

  1982cited by this paper
• Topology; a first course

  1974cited by this paper
• Elementary concepts of topology

  1961cited by this paper

• Computation of topological relations with 3-SRM

  2026cites this paper
• TRGST: An enhanced generalized suffix tree for topological relations between paths

  2024cites this paper
• Refinement and Computation Method for Line/Body Topological Relationships

  2024cites this paper
• Manufacturing cost estimation based on similarity

  2023cites this paper
• Vector object-based architecture modeling method and condition to dense well data

  2023cites this paper
• Object-agnostic Affordance Categorization via Unsupervised Learning of Graph Embeddings

  2023cites this paper
• Coherence of linear and surface data: Methodological proposal from the example of road data

  2022cites this paper
• A prediction method for population density in key areas

  2021cites this paper
• A Refined Lines/Regions and Lines/Lines Topological Relations Model Based on Whole-Whole Objects Intersection Components

  2021influential citation
• Binary topological relations on the digital sphere

  2020cites this paper
• Computing the Fuzzy Topological Relations of Countries Affected by Congenital Disease

  2020cites this paper
• OpenStreetMap: Challenges and Opportunities in Machine Learning and Remote Sensing

  2020cites this paper
• Representation and Reasoning of Three-Dimensional Spatial Relationships Based on R5DOS-Intersection Model Representation and Reasoning Based on R5DOS Model

  2020cites this paper
• Geospatial relation captioning for high-spatial-resolution images by using an attention-based neural network

  2019cites this paper
• Representing and reasoning fuzzy spatio- temporal knowledge with description logics: A survey

  2019cites this paper
• A Conceptual Framework for Modelling Spatial Relations

  2019cites this paper
• Qualitative Spatial Representation for the Humanities

  2019cites this paper
• - 06-01 Sketch-based Image Queries in Topographic Databases

  2019cites this paper
• A Qualitative Representation of Spatial Scenes in R2 with Regions and Lines

  2019influential citation
• Ontologies to interpret remote sensing images: why do we need them?

  2019cites this paper
• Automatic Expansion of Spatial Ontologies for Geographic Information Retrieval

  2018cites this paper
• A distance-based topological relation model between spatial regions

  2018cites this paper
• Color Spatial Arrangement for Image Retrieval by Visual Similarity

  2018cites this paper
• Elaboration d'un moteur de traitement des données spatiales massives vectorielles optimisant l'indexation spatiale

  2017cites this paper
• Rule-guided human classification of Volunteered Geographic Information

  2017cites this paper
• A 27-Intersection Model for Representing Detailed Topological Relations between Spatial Objects in Two-Dimensional Space

  2017cites this paper
• Qualitative Spatial Representations

  2017cites this paper
• Transitions between 4-intersection values of planar regions

  2017influential citation
• TOPOLOGICAL SIMILARITY MEASUREMENT OF REGION COMPOSITIONS BASED ON BOUNDARY CONTACTS

  2016cites this paper
• Algebraic Refinements of Direction Relations through Topological Augmentation

  2016cites this paper
• A Survey of Measures and Methods for Matching Geospatial Vector Datasets

  2016cites this paper
• A Classification of the Intersections Between Regions and their Topical Transitions

  2016cites this paper
• Ontology-driven scene interpretation based on qualitative spatial reasoning

  2016cites this paper
• Generación Semiautomática de una Ontología Geográfica a partir de Fuentes Heterogéneas

  2016cites this paper
• Tackling the thematic accuracy of areal features in OpenStreetMap

  2016cites this paper
• Point Partitions: A Qualitative Representation for Region-Based Spatial Scenes in ℝ^2

  2016cites this paper
• Topological Relationships Between Maps

  2016cites this paper
• A most versatile relative position descriptor

  2016cites this paper
• Combinational Reasoning of Quantitative Fuzzy Topological Relations for Simple Fuzzy Regions

  2015cites this paper
• Qualitative Spatial-Relation Reasoning for Design

  2015cites this paper
• TOWARDS RULE-GUIDED CLASSIFICATION FOR VOLUNTEERED GEOGRAPHIC INFORMATION

  2015cites this paper
• Spatial object modeling in soft topology

  2015cites this paper
• An integrated qualitative and boundary-based formal model for a semantic representation of trajectories

  2015cites this paper
• COP-VW: Cone-over-Projection Directional Model Viewer

  2015cites this paper
• Swiss Canton Regions: A Model for Complex Objects in Geographic Partitions

  2015influential citation
• Identifying geospatial inconsistency of web services metadata using spatial ranking

  2015cites this paper
• A novel computation method for line-line topological relations based on conformal geometric algebra

  2015cites this paper
• A Seamless Constraint Model of Multi-Scale Representation of Geographical Information

  2015cites this paper
• A Model of Fuzzy Topological Relations for Simple Spatial Objects In GIS

  2015cites this paper
• Enabling 3D Topological Analysis for Building Models with Boundary Representation

  2014cites this paper
• Convex Hull-Based Metric Refinements for Topological Spatial Relations

  2014cites this paper
• Ambiguity and plausibility: managing classification quality in volunteered geographic information

  2014cites this paper
• Why simulate cities?

  2014cites this paper
• Surrounds in partitions

  2014cites this paper
• Equivalences in Euler-based diagram systems through normal forms

  2014cites this paper
• Qualitative Spatial Query Processing: Towards Cognitive Geographic Information Systems

  2014influential citation
• A recommendation framework for remote sensing images by spatial relation analysis

  2014cites this paper
• Representation, reasoning and similar matching for detailed topological relations with DTString

  2014influential citation
• Oriented Regions for Linearly Conceptualized Features

  2014cites this paper
• Modelling movement patterns using topological relations between a directed line and a region

  2014cites this paper
• Spatial Topological Relationship for Remote Sensing Image Analysis

  2014cites this paper
• AN APPROACH TO DEVELOP 3 D GEO-DBMS TOPOLOGICAL OPERATORS BY RE-USING EXISTING 2 D OPERATORS

  2013influential citation
• A Euler number-based topological computation model for land parcel database updating

  2013influential citation
• A qualitative model for describing the arrangement of visible cityscape objects from an egocentric viewpoint

  2013cites this paper
• The Topology of Spatial Scenes in ℝ2

  2013influential citation
• A Formal Framework for Modeling Topological Relations of Spatial Ontologies

  2013cites this paper
• AN APPROACH TO DEVELOP 3D GEO-DBMS TOPOLOGICAL OPERATORS BY RE-USING EXISTING 2D OPERATORS

  2013cites this paper
• Landmark-based Navigation System for Mobile Devices Have No Built-in GPS Receiver and Compass

  2013cites this paper
• Addition of the Directionality Concept in Spatial Queries on SDMSs Using the Union of the Cone-Based and Projection-Based Models

  2013cites this paper
• An Approach to Qualitative Emergency Management

  2013cites this paper
• A survey of qualitative spatial representations

  2013cites this paper
• Why simulate cities?

  2013cites this paper
• A dissimilarity function for geospatial polygons

  2013cites this paper
• Big Complex Biomedical Data: Towards a Taxonomy of Data

  2012cites this paper
• Parametric Modeling and Design of Building Information Model for Extradosed Bridge

  2012cites this paper
• Enriching the Qualitative Spatial Reasoning System RCC8

  2012cites this paper
• Spatial Arrangement as a part of Geospatial Feature Ontologies

  2012cites this paper
• Matching geo-spatial information by qualitative spatial relations

  2012cites this paper
• Superposition of Rectangles with Visibility Requirement: A Qualitative Approach

  2012cites this paper
• Automated evaluation of generalized topographic maps

  2012cites this paper
• A framework for integrating multi-accuracy spatial data in geographical applications

  2012cites this paper
• Supporting Distributed Geo-Processing: A Framework for Managing Multi-Accuracy Spatial Data

  2012cites this paper
• Planar and non-planar topologically consistent vector map simplification

  2011influential citation
• Classifying simple closed curve pairs in the 2-sphere and a generalization of the Schoenflies theorem

  2011cites this paper
• Decentralized Reasoning about Gradual Changes of Topological Relationships between Continuously Evolving Regions

  2011cites this paper
• Automatic Representation of Geographical Data from a Semantic Point of View through a New Ontology and Classification Techniques

  2011cites this paper
• Topological operators: a relaxed query processing approach

  2011cites this paper
• A Content-Based Publish/Subscribe Matching Algorithm for 2D Spatial Objects

  2011influential citation
• Mapping geospatial events based on extracted spatial information from web documents

  2011influential citation
• Efficient on-line algorithms for Euler diagram region computation

  2011cites this paper
• Formal Description of 3D Semi-tunnel Component

  2011cites this paper
• Integrating Multi-Accuracy Spatial Data

  2011cites this paper
• Advances in Visibility Modelling in Urban Environments to Support Location Based Services

  2011cites this paper
• Polygonal spatial clustering

  2011cites this paper
• Modeling the scale dependences of topological relations between lines and regions induced by reduction of attributes

  2010cites this paper
• Topological relations between fuzzy regions in a fuzzy topological space

  2010cites this paper
• Location-Based Ubiquitous Learning Framework

  2010cites this paper
• An Overview of the Research on Topological Relations and Future Issues in GIScience

  2010cites this paper
• Organizing Observations: Data Models

  2010cites this paper
• Topological Relations between Convex Regions

  2010cites this paper