A control of smooth deformations with topological change on a polyhedral mesh based on curves and loops

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 obtai...

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Bibliographic Details
Main Authors: Verroust, A., Finiasz, M.
Format: Conference Proceeding
Language:English
Subjects:
Automatic control
Deformable models
Embedded computing
Geometry
Lattices
Rough surfaces
Shape
Surface reconstruction
Surface roughness
Topology
Online Access:Request full text
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Summary: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.
DOI:10.1109/SMI.2002.1003545