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

By Zhilin Li

With the common use of GIS, multi-scale illustration has turn into a tremendous factor within the realm of spatial info dealing with. concentrating on geometric variations, this source provides complete assurance of the low-level algorithms on hand for the multi-scale representations of alternative varieties of spatial positive factors, together with element clusters, person strains, a category of traces, person components, and a category of parts. It additionally discusses algorithms for multi-scale illustration of 3-D surfaces and 3D positive aspects. Containing over 250 illustrations to complement the dialogue, the ebook offers the latest study effects, reminiscent of raster-based paintings, set of rules advancements, snakes, wavelets, and empirical mode decomposition.

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In any algorithm for geometric transformations, some kinds of geometric parameters must be used as criteria. 5 Representation of a line in parametric form. 2 Some Commonly Used Geometric Parameters Geometric parameter Mathematical function 1 Distance between two points d ( P1 , P2 ) = ( x1 − x 2 )2 + ( y1 − y2 )2 2 Distance from point P to line Ln d ( P, Ln) = 3 Distance from point P to plane Pl d ( P, Pl ) = 4 Slope between two points tan α = 5 Curvature of a curved line c( x , y) = 6 Angle (ω) formed by two sides (a and b) of a triangle conω = a2 + b2 − c2 2ab 7 Area formed by N points A( P1 , P2 PN ) = ax1 + by1 + c a2 + b2 ax1 + by1 + cz + d a2 + b2 + c2 y2 − y1 x 2 − x1 d 2 y/dx 2 [1 + (dy/dx )2 ]3/ 2 ( 1 N ∑ y × xi +1 − xi × yi +1 2 i =1 i ) not exceptions.

A. , Oxford Press, Oxford, UK, 1998. Buttenfield, B. P. and McMaster R. , Map Generalization: Making Rules for Knowledge Representation. Longman Scientific and Technical, London, 1991. , Li, C. , Li, Z. , A Voronoi-based 9-intersection model for spatial relations, International Journal of Geographical Information Science, 15(3), 201–220, 2001. , Zhao, R. L. and Li, Z. , Voronoi-based K-order neighbour relations for spatial analysis, ISPRS Journal of Photogrammetry and Remote Sensing, 59(1-2), 60–72, 2004.

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. 13 Change in topological relation after a transformation in scale.

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