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A figure-ground diagram is a two-dimensional map of an urban space that shows the relationship between built and unbuilt space. It is used in analysis of urban design and planning . It is akin to but not the same as a Nolli map which denotes public space both within and outside buildings and also akin to a block pattern diagram that records ...
Thus, the degree of applicability is defined which specifies from 0 till 100% how strongly a spatial relation holds. Often researchers concentrate on defining the applicability function for various spatial relations. In spatial databases and geospatial topology the spatial relations are used for spatial analysis and constraint specifications.
Spatial dependence is the spatial relationship of variable values (for themes defined over space, such as rainfall) or locations (for themes defined as objects, such as cities). Spatial dependence is measured as the existence of statistical dependence in a collection of random variables , each of which is associated with a different ...
Space syntax has also been applied to predict the correlation between spatial layouts and social effects such as crime, traffic flow, and sales per unit area. [citation needed] In general, the analysis uses one of many software programs that allow researchers to analyse graphs of one (or more) of the primary spatial components.
The Dimensionally Extended 9-Intersection Model (DE-9IM) is a topological model and a standard used to describe the spatial relations of two regions (two geometries in two-dimensions, R 2), in geometry, point-set topology, geospatial topology, and fields related to computer spatial analysis.
A GIS can recognize and analyze the spatial relationships that exist within digitally stored spatial data. These topological relationships allow complex spatial modelling and analysis to be performed. Topological relationships between geometric entities traditionally include adjacency (what adjoins what), containment (what encloses what), and ...
A spatial network can be represented by a Voronoi diagram, which is a way of dividing space into a number of regions. The dual graph for a Voronoi diagram corresponds to the Delaunay triangulation for the same set of points. Voronoi tessellations are interesting for spatial networks in the sense that they provide a natural representation model ...
Figure and Ground theory is founded on the study of the relationship of land coverage of buildings as solid mass (figure) to open voids (ground) Each urban environment has an existing pattern of solid and voids, and figure and ground approach to spatial design is an attempt to manipulate these relationships by adding to, subtracting from, or ...