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arXiv · 1503.09021

Optimal Morphs of Convex Drawings

Patrizio Angelini·Giordano Da Lozzo·Fabrizio Frati·Anna Lubiw·Maurizio Patrignani·Vincenzo Roselli
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Abstract

We give an algorithm to compute a morph between any two convex drawings of the same plane graph. The morph preserves the convexity of the drawing at any time instant and moves each vertex along a piecewise linear curve with linear complexity. The linear bound is asymptotically optimal in the worst case.

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Patrizio Angelini, Giordano Da Lozzo, Fabrizio Frati, Anna Lubiw, Maurizio Patrignani, Vincenzo Roselli. 2015-03-31. Optimal Morphs of Convex Drawings. https://arxiv.org/abs/1503.09021

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