By Zhilin Li
With the common use of GIS, multi-scale illustration has develop into a big factor within the realm of spatial information dealing with. targeting geometric modifications, this source provides entire assurance of the low-level algorithms to be had for the multi-scale representations of other different types of spatial good points, together with element clusters, person traces, a category of traces, person parts, and a category of parts. It additionally discusses algorithms for multi-scale illustration of three-D surfaces and 3-D positive aspects. Containing over 250 illustrations to complement the dialogue, the e-book presents the latest learn effects, similar 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)
Similarly, different types of farmlands are represented on land-use maps at large scales, such as irrigated land, irrigable land, and dry land. However, they may be aggregated into a new type, called farmland, at a smaller scale. A reverse process can be applied to thematic information, that is, to make use of thematic information for formalization of rules to control geometric transformations. , 2003). This can be used as a rule for the transformations in spatial representation. Detailed discussion of thematic transformation lies outside the scope of this book, but more information can be found in Muller (1990), Buttenfield and McMaster (1991), Muller et al.
Taylor & Francis, London, 2001, pp. 87–107. , Li, Z. , A quantitative description model for direction relations based on direction groups, GeoInformatica, 10(2), 177–195, 2006. fm Page 29 Friday, September 8, 2006 11:52 AM 2 Mathematical Background In the algorithms to be presented in the later chapters, mathematical tools at various levels are involved. To facilitate those discussions, this chapter provides some basic mathematical background. 1 COORDINATE SYSTEMS To make a spatial representation possess a certain level of metric quality, a coordinate system needs to be employed.
A geographical coordinate system is also a fundamental system for spatial representation, consisting of longitude and latitude. A geographical coordinate system can be defined on a sphere (or spheroid) or on a 2-D plane. The latter is a result of a projection of the former. Such a projection is called a map projection. Polar coordinate systems are also possible but are not widely used in spatial representation. 1 shows such systems in a 2-D plane. The Cartesian coordinate system is normally used for spatial representation at large and medium scales, and the geographical coordinate system is used for spatial representation at small and very small scales.
Algorithmic Foundation of Multi-Scale Spatial Representation (2006)(en)(280s) by Zhilin Li