| Autor: |
Aichholzer, Oswin, Biedl, Therese, Hackl, Thomas, Held, Martin, Huber, Stefan, Palfrader, Peter, Vogtenhuber, Birgit |
| Rok vydání: |
2015 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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