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Special Issue on Selected Papers from the Fourteenth International Symposium on Graph Drawing, GD 2006
DOI: 10.7155/jgaa.00162
Morphing Planar Graphs in Spherical Space
Vol. 12, no. 1, pp. 113-127, 2008. Regular paper.
Abstract We consider the problem of intersection-free planar graph morphing,
and in particular, a generalization from Euclidean space to spherical
space. We show that there exists a continuous and intersection-free
morph between two sphere drawings of a maximally planar graph,
provided that both sphere drawings have convex inscribed polytopes,
where sphere drawings are the spherical equivalent of plane drawings:
intersection-free geodesic-arc drawings. In addition, we describe a
morphing algorithm along with its implementation. Movies of sample
morphs can be found at
http://smorph.cs.arizona.edu.
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Submitted: February 2007.
Revised: November 2007.
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