paper

Optimal Morphs of Convex Drawings

arXiv:1503.09021

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.

To appear in SoCG 2015