Conceptual Neighborhoods of Topological Relations between Lines
Published: 06/2008
Abstract:
Conceptual neighborhood graphs capture the similarity among qualitative relations. This paper derives the graphs for the thirty-three topological relations between two crisp, undirected lines and for the seventy-seven topological relations between two lines with uncertain boundaries. The analysis of the graphs shows that the normalized node degree increases, from the crisp to the broad-boundary lines, roughly at the same degree as it increases for crisp lines that are transformed from R1 into R2.
Citation:
R. Reis, M. Egenhofer, and J. Matos, Conceptual Neighborhoods of Topological Relations between Lines, in: A. Ruas and C.Gold (eds.), The 13th International Symposium on Spatial Data Handling (SDH 2008), Montpellier, France, Springer, June 2008.