[DM4-3] Topological modelling

In topological modelling the geospatial relations in a data model are represented by the position of geospatial objects, especially nodes, edges and surfaces.

Introduction

External resources

• Egenhofer, M.J., & Franzosa, R.D. (1991). Point-set topological spatial relations. International Journal of Geographical Information Systems, 5, 161-174
• Schneider, Markus, & Behr, Thomas. (2006). Topological relationships between complex spatial objects. ACM Transactions on Database Systems (TODS), 31(1), 39-81. DOI: 10.1145/1132863.1132865
• Shirabe, T. (2005). Modeling Topological Properties of a Raster Region for Spatial Optimization. In Developments in Spatial Data Handling (pp. 407-420). Berlin, Heidelberg: Springer Berlin Heidelberg. DOI: 10.1007/3-540-26772-7_31
• Tøssebro, Erlend, & Nygård, Mads. (2011). Representing topological relationships for spatiotemporal objects. GeoInformatica, 15(4), 633-661. DOI: 10.1007/s10707-010-0120-5

Learning outcomes

• 685 - Evaluate the positive and negative impacts of this shift from integrated topological models
  Evaluate the positive and negative impacts of this shift from integrated topological models
• 686 - Define terms related to topology (e.g., adjacency, connectivity, overlap, intersect, logical consistency)
  Define terms related to topology (e.g., adjacency, connectivity, overlap, intersect, logical consistency)
• 687 - Illustrate a topological relation
  Illustrate a topological relation
• 688 - Explain the advantages and disadvantages of topological data models
  Explain the advantages and disadvantages of topological data models
• 689 - Demonstrate how a topological structure can be represented in a relational database structure
  Demonstrate how a topological structure can be represented in a relational database structure
• 690 - Exemplify the concept of planar enforcement (e.g., TIN triangles)
  Exemplify the concept of planar enforcement (e.g., TIN triangles)
• 691 - Discuss the role of graph theory in topological structures
  Discuss the role of graph theory in topological structures
• 692 - Describe the integrity constraints of integrated topological models (e.g., POLYVRT)
  Describe the integrity constraints of integrated topological models (e.g., POLYVRT)
• 693 - Discuss the historical roots of the Census Bureaus creation of GBF/DIME as the foundation for the development of topological data structures
  Discuss the historical roots of the Census Bureaus creation of GBF/DIME as the foundation for the development of topological data structures
• 694 - Explain why integrated topological models have lost favor in commercial GIS software
  Explain why integrated topological models have lost favor in commercial GIS software

Self assessment

Outgoing relations

• [DM4-3] Topological modelling subclassof [DM4] Vector data model, Feature based modelling, Applications