论文标题

高效的细分折叠很难

Efficient Segment Folding is Hard

论文作者

Horiyama, Takashi, Klute, Fabian, Korman, Matias, Parada, Irene, Uehara, Ryuhei, Yamanaka, Katsuhisa

论文摘要

我们介绍了一个计算折纸问题,我们称之为段折叠问题:给定飞机中的$ n $线段的一组,目的是在最小折叠步骤中沿所有细分市场进行折痕。请注意,折叠可能会改变片段之间的相对位置,并且一个细分可能会分为两个。我们表明,确定是否可以将$ n $ line段折叠为$ n $简单的折叠操作是NP-HARD。

We introduce a computational origami problem which we call the segment folding problem: given a set of $n$ line-segments in the plane the aim is to make creases along all segments in the minimum number of folding steps. Note that a folding might alter the relative position between the segments, and a segment could split into two. We show that it is NP-hard to determine whether $n$ line segments can be folded in $n$ simple folding operations.

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