### Abstract

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

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*On merging straight skeletons*.

**On merging straight skeletons.** / Aurenhammer, Franz; Steinkogler, Michael.

Research output: Contribution to conference › Paper › Research

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TY - CONF

T1 - On merging straight skeletons

AU - Aurenhammer, Franz

AU - Steinkogler, Michael

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

M3 - Paper

ER -