Approximation of an open polygonal curve with a minimum number of circular arcs

作者: R. L. Scot , Astrid Sturm , DrysdaleGunter Rote

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摘要: An algorithm for approximating a given open polygonal curve with minimum number of circular arcs is introduced. In computer-aided manufacturing environments the paths cutting tools are usually described and straight line segments. Greedy algorithms curves higher order can be found in literature. Without theoretical bounds it difficult to prove anything about quality these algorithms. We present an which allows us build directed graph all possible look shortest path from start point end curve. runtime O(n 2 logn), n vertices original chain.

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