### Abstract

The search for efficient algorithms to compute the straight skeletons of a simple polygon has resulted in a variety of algorithms. We present a new approach that applies the divide-and-conquer paradigm with the divide step based on the motorcycle graph. A practical randomized algorithm is obtained that derives the straight skeleton from the motorcycle graph, with an expected running time of O(d n log n), where d is the decomposition depth of the motorcycle graph.

Original language | English |
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Publication status | Published - 2018 |

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## Cite this

Aurenhammer, F., & Steinkogler, M. (2018).

*On merging straight skeletons*.