Titlebook: Computational Geometry; Algorithms and Appli Mark Berg,Marc Kreveld,Otfried Cheong Schwarzkopf Textbook 20002nd edition Springer-Verlag Ber

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任命

Orthogonal Range Searching,abase can be interpreted geometrically. To this end we transform records in a database into points in a multi-dimensional space, and we transform the queries about the records into queries on this set of points. Let’s demonstrate this with an example.

HUSH

Point Location,e 52°3′ north. Where that is? You can find that out yourself from a map of Europe: using the scales on the sides of the map, you will find that the point with the coordinates stated above is located in a little country named “the Netherlands”.

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Quadtrees,g. This circuitry—VLSI circuits, resistors, capacitors, and other electric components— is placed on a printed circuit board. To design printed circuit boards one has to decide where to place the components, and how to connect them. This raises a number of interesting geometric problems, of which this chapter tackles one: mesh generation.

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Visibility Graphs, it exists, but we made no claims about the quality of the path: it could make a large detour, or make lots of unnecessary turns. In practical situations we would prefer to find not just any path, but a good path.

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