Geodesic
Morphing Planar Graphs in Spherical Space
Journal of Graph Algorithms and Applications, Special Issue on Selected Papers from the Fourteenth International Symposium on Graph Drawing, GD 2006 , Tome 12 (2008) no. 1, pp. 113-127.

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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.
DOI : 10.7155/jgaa.00162
Keywords: graph morphing, graph drawing, spherical space 
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Stephen Kobourov; Matthew Landis. Morphing Planar Graphs in Spherical Space. Journal of Graph Algorithms and Applications, 
							Special Issue on Selected Papers from the Fourteenth International Symposium on Graph Drawing, GD 2006
					, Tome 12 (2008) no. 1, pp. 113-127. doi : 10.7155/jgaa.00162. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00162/

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