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sweep line algorithm : ウィキペディア英語版
sweep line algorithm

In computational geometry, a sweep line algorithm or plane sweep algorithm is a type of algorithm that uses a conceptual ''sweep line'' or ''sweep surface'' to solve various problems in Euclidean space. It is one of the key techniques in computational geometry.
The idea behind algorithms of this type is to imagine that a line (often a vertical line) is swept or moved across the plane, stopping at some points. Geometric operations are restricted to geometric objects that either intersect or are in the immediate vicinity of the sweep line whenever it stops, and the complete solution is available once the line has passed over all objects.
==History==
This approach may be traced to scanline algorithms of rendering in computer graphics, followed by exploiting this approach in early algorithms of integrated circuit layout design, in which geometric description of an IC was processed in parallel strips, because the entire description could not fit into memory.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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