About: Point location   Sponge Permalink

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The point location problems and algorithms are a fundamental topic of computational geometry. It finds applications in areas that deal with processing geometrical data: computer graphics, geographical information systems (GIS), motion planning, and CAD. In its most general form, the problem is, given a point in the plane or in the space, to determine which area of interest the point belongs to. Each time you click a mouse to follow a web link, this problem is to be solved, namely, to determine which area of the computer screen is under the mouse pointer.

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  • Point location
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  • The point location problems and algorithms are a fundamental topic of computational geometry. It finds applications in areas that deal with processing geometrical data: computer graphics, geographical information systems (GIS), motion planning, and CAD. In its most general form, the problem is, given a point in the plane or in the space, to determine which area of interest the point belongs to. Each time you click a mouse to follow a web link, this problem is to be solved, namely, to determine which area of the computer screen is under the mouse pointer.
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abstract
  • The point location problems and algorithms are a fundamental topic of computational geometry. It finds applications in areas that deal with processing geometrical data: computer graphics, geographical information systems (GIS), motion planning, and CAD. In its most general form, the problem is, given a point in the plane or in the space, to determine which area of interest the point belongs to. Each time you click a mouse to follow a web link, this problem is to be solved, namely, to determine which area of the computer screen is under the mouse pointer. The simplest example is the point-in-polygon problem. In this case, there are three "areas of interest": polygon interior, polygon exterior and polygon boundary.
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