A Control of Smooth Deformations with Topological Change on Polyhedral Mesh Based on Curves and Loops

Abstract : We propose a method to model and control topological changes by a smooth defonnation of a polyhedral mesh using curves and loops. As changing the genus of a surface is not a continuous transformation, the topological change is made when an intermediate shape between the two topologies has been obtained. The creation and the deletion of holes are studied. The deletion of a hole uses non null-homotopic loops to designate the hole to be deleted. A method computing two independent loops associated to a hole is presented.
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Anne Verroust, Matthieu Finiasz. A Control of Smooth Deformations with Topological Change on Polyhedral Mesh Based on Curves and Loops. International Conference on Shape Modeling and Applications 2002 (SMI'02), May 2002, Banff, Canada. ⟨10.1109/SMA.2002.1003545⟩. ⟨hal-00804677⟩

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