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. IEEE, 2002, 〈http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=1003545&contentType=Conference+Publications&searchField%3DSearch_All%26queryText%3DA+control+of+smooth+deformations+with+topological+change+on+a+polyhedral+mesh+based+on+curves+and+loops〉. 〈10.1109/SMA.2002.1003545〉. 〈hal-00804677〉

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