Journal of Graph Algorithms and Applications
http://jgaa.info ISSN: 1526-1719
DOI: 10.7155/jgaa.00162 Morphing Planar Graphs in Spherical Space Stephen G. Kobourov and Matthew Landis 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.
|
Revised: November 2007. Submitted: February 2007. Communicated by Michael Kaufmann and Dorothea Wagner |
Journal of Graph Algorithms and Applications |