Abstract
Our approach aims at a general description that is common to all types of grids used in diagrammatic representations despite their individual differences. Based on our analysis, we specify different types of spatial knowledge and single out in which way a particular type of grid represents a particular type of spatial knowledge. This specification identifies the various contributions of grids to diagrammatic representations. It turns out that grids in maps and especially in schematic maps have two complementary functions. First, they enable inferences that are not possible using only the spatial map features. Second, they provide additional design freedom, as important information that is not represented in the schematic map itself, can be encoded in the grid structure.
The research reported in this paper has been supported by the Deutsche Forschungsgemeinschaft (DFG) in the project ‘Räumliche Strukturen in Aspektkarten’ (Fr 806/8) and ‘Axio-matik räumlicher Konzepte’ (Ha 1237/7). We thank Carola Eschenbach, Christian Freksa, Christopher Habel, and Heike Tappe.
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Eschenbach, C, Habel, C, Kulik, L., LeBmöllmann, A. (1998). Shape nouns and shape concepts: A geometry for ‘comer’. In C. Freksa, C. Habel & K.F. Wender (Eds.), Spatial Cognition (pp. 177–201). Berlin: Springer.
Hassen, K. & Beard, K. (1998). Visual evaluation of GIS algorithms using a reference grid. Cartography and Geographic Information Systems, 25(1), 42–50.
Hilbert, D. (1956). Grundlagen der Geometrie. Stuttgart: Teubner.
Kimerling, A. I, Sahr, K., White, D., & Song, L. (1999). Comparing geometrical properties of global grids. Cartography and Geographic Information Science, 26(4), 271–288.
Kulik, L. & Klippel, A. (1999). Reasoning about cardinal directions using grids as qualitative geographic coordinates. In C. Freksa & D.M. Mark (Eds.), Spatial Information Theory (pp. 205–220). Berlin: Springer.
Maling, D. H. (1992): Coordinate systems and map projections Oxford: Pergamon Press.
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Klippel, A., Kulik, L. (2000). Using Grids in Maps. In: Anderson, M., Cheng, P., Haarslev, V. (eds) Theory and Application of Diagrams. Diagrams 2000. Lecture Notes in Computer Science(), vol 1889. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44590-0_43
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DOI: https://doi.org/10.1007/3-540-44590-0_43
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