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Morphing between many polygons.

Morphing between different numbers of polygons across a change in topology remains as an unsolved problem although there are many solutions for morphing between two polygons or one-to-one morphing. A new algorithm is presented in this paper for morphing between many polygons. Delaunay triangulation is used to set up the correspondence between vertices. An incremental Delaunay triangulation algorithm is implemented for this purpose. We also present a supersampling method of the polygons for making the Delaunay triangulation of the vertices in the supersampled polygon equal its constrained Delaunay triangulation. According to the correspondence, the gap between the source group and the target group will dynamically shrink until it is completely zipped up at the approximation of its medial axis. Our method can guarantee that there is no self-intersection during the zipping process. The morph requires no user interaction, is inexpensive, uses dynamic vertex correspondence, and follows nonlinear vertex paths.

Xiaqing Wu, John K. Johnstone, Dept. of Computer Science, Univ. of Ala. At Bham., Birmingham, AL, 35294-1170.
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Title Annotation:Engineering and Computer Science
Author:Wu, Xiaqing; Johnstone, John K.
Publication:Journal of the Alabama Academy of Science
Article Type:Brief Article
Date:Apr 1, 2003
Words:166
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