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Algorithmic Foundation of Multi-Scale Spatial Representation by Zhilin Li PDF

By Zhilin Li

ISBN-10: 0849390729

ISBN-13: 9780849390722

With the common use of GIS, multi-scale illustration has turn into a major factor within the realm of spatial facts dealing with. concentrating on geometric changes, this source offers accomplished insurance of the low-level algorithms on hand for the multi-scale representations of alternative kinds of spatial beneficial properties, together with aspect clusters, person strains, a category of strains, person parts, and a category of components. It additionally discusses algorithms for multi-scale illustration of 3-D surfaces and three-D gains. Containing over 250 illustrations to complement the dialogue, the booklet offers the latest learn effects, comparable to raster-based paintings, set of rules advancements, snakes, wavelets, and empirical mode decomposition.

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Extra resources for Algorithmic Foundation of Multi-Scale Spatial Representation (2006)(en)(280s)

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For example, spatial features can be ordered according to size, distance, and direction. The order relations of spatial features can be described qualitatively or quantitatively. They can also be described in a relative sense or an absolute sense. Examples of relative descriptors are front and back, left and right, and above and below. The followings descriptors are absolute: N, NE, E, SE, S, SW, W, and NW. Directional relations can be easily represented by a quantitative measure. The bearing in units of degree is a common practice.

Suppose a number of map dividers with step size δ1, δ 2, δ 3, …, and δ M are used to measure a line; the corresponding measured lengths are L1, L2, L3, …, LM. 9) where M is the number of map dividers used for measurement. Similar to the treatment of curved lines, a curved surface can also be divided into N identical parts, each of which is scaled down by a ratio δ = 1/ N from the whole. The fractal dimension (D) of a curved surface can be calculated similarly to curved lines. 10) where A is the area of the curved surface, C is a constant, and δ is the size of the area used as a basic unit of measurement.

In the first instance, area features A and C were separated by feature B, but they became immediate neighbors after a transformation. Eight basic types of topological relations between area features have been identified (Egenhofer and Franzosa, 1992). 14. ” 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.

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Algorithmic Foundation of Multi-Scale Spatial Representation (2006)(en)(280s) by Zhilin Li

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