{"title":"A control of smooth deformations with topological change on a polyhedral mesh based on curves and loops","authors":"Anne Verroust-Blondet, M. Finiasz","doi":"10.1109/SMI.2002.1003545","DOIUrl":null,"url":null,"abstract":"We propose a method to model and control topological changes by a smooth deformation 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.","PeriodicalId":267347,"journal":{"name":"Proceedings SMI. Shape Modeling International 2002","volume":"46 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings SMI. Shape Modeling International 2002","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SMI.2002.1003545","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We propose a method to model and control topological changes by a smooth deformation 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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