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Representing Directed Trees as Straight Skeletons

The straight skeleton of a polygon is the geometric graph obtained by tracing the vertices during a mitered offsetting process. It is known that the straight skeleton of a simple polygon is a tree, and one can naturally derive directions on the edges of the tree from the propagation of the shrinking process. In this paper, we ask the reverse question: Given a tree with directed edges, can it be the straight skeleton of a polygon? And if so, can we find a suitable simple polygon? We answer these questions for all directed trees where the order of edges around each node is fixed.

preprint2015arXivOpen access
Oswin AichholzerTherese BiedlThomas HacklMartin HeldStefan HuberPeter PalfraderBirgit Vogtenhuber
Computational Geometry
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Open access7 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Oswin AichholzerTherese BiedlThomas HacklMartin HeldStefan HuberPeter PalfraderBirgit Vogtenhuber

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