Algorithmic Foundation of Multi-Scale Spatial Representation by Zhilin Li

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By Zhilin Li

With the common use of GIS, multi-scale illustration has develop into a tremendous factor within the realm of spatial info dealing with. targeting geometric alterations, this source offers entire insurance of the low-level algorithms on hand for the multi-scale representations of other varieties of spatial positive factors, together with aspect clusters, person traces, a category of strains, person parts, and a category of components. It additionally discusses algorithms for multi-scale illustration of 3D surfaces and 3D good points. Containing over 250 illustrations to complement the dialogue, the ebook presents the newest learn effects, comparable to raster-based paintings, set of rules advancements, snakes, wavelets, and empirical mode decomposition.

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Additional info for Algorithmic Foundation of Multi-Scale Spatial Representation (2006)(en)(280s)

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An algorithm to determine the directional relation between arbitrarily-shaped polygons in the plane, Pattern Recognition, 20(1), 65–74, 1987. , Affholder, J. , The importance of geometric modelling in linear feature gneralization, Cartography and Geographic Information Systems, 22(4), 291–305, 1995. , Li, Z. , Integration of generalization operators for vegetation maps based on bio-geographical principles, Cartographica, 32(2), 17–30, 2003. Rieger, M. , Consensus or confusion: cartographers’ knowledge of generalisation, Cartographica, 30(2), 69–80, 1993.

Sometimes a change in topological relation may result in a spatial conflict. 15 shows such an example. In this case, a small building falls into the water after geometric transformations. This can be detected by checking the topological relations between the water as an area feature and the small building as another area feature. 13 Change in topological relation after a transformation in scale. 14 Eight basic topological relations between area features A and B. 15 Spatial conflicts caused by a change in topological relation.

1–7. Lee, Y. , Multi-media map for visual navigation, Journal of Geospatial Engineering, 3(2), 87–96, 2001. Li, Z. , Some observations on the issue of line generalisation, Cartographic Journal, 30(1), 68–71, 1993. Li, Z. , Reality in time-scale system and cartographic representation, Cartographic Journal, 31(1), 50–51, 1993. Li, Z. , Transformation of spatial representation in scale dimension: a new paradigm for digital generalization of spatial data, International Archives for Photogrammetry and Remote Sensing, XXXI(B3), 453–458, 1996.

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