Blending polygonal shapes with different topologies

@article{Surazhsky2001BlendingPS,
  title={Blending polygonal shapes with different topologies},
  author={Tatiana Surazhsky and Vitaly Surazhsky and Gill Barequet and Ayellet Tal},
  journal={Computers & Graphics},
  year={2001},
  volume={25},
  pages={29-39}
}
In this paper, we propose a new method for morphing between two polygonal, possibly non-simply connected, shapes in the plane. The method is based on reconstructing an xy-monotone surface whose extreme cross-sections coincide with the given shapes. The surface generated by our algorithm does not contain any self-intersections, does not change the topologies of the input slices, does not contain any horizontal triangles, and guarantees that all the topology changes occur at a mid-height which is… CONTINUE READING
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