Title :
A control of smooth deformations with topological change on a polyhedral mesh based on curves and loops
Author :
Verroust, Anne ; Finiasz, Matthieu
Author_Institution :
INRIA Rocquencourt, Le Chesnay, France
fDate :
6/24/1905 12:00:00 AM
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
Keywords :
computational geometry; solid modelling; topology; curves; geometric studies; hole deletion; non null-homotopic loops; polyhedral mesh; polyhedron; smooth deformations; solid modelling; topological change; Automatic control; Deformable models; Embedded computing; Geometry; Lattices; Rough surfaces; Shape; Surface reconstruction; Surface roughness; Topology;
Conference_Titel :
Shape Modeling International, 2002. Proceedings
Conference_Location :
Banff, Alta.
Print_ISBN :
0-7695-1546-0
DOI :
10.1109/SMI.2002.1003545
