Back to Search Start Over

Multi-minimisations for shape control of Fully Free Form Deformation Features

Authors :
Pernot J.
Guillet S.
Léon J.
Falcidieno B.
Giannini F.
Source :
SMI 2004-IEEE International Conference on Shape Modeling and Applications, pp. 53–62, Genova, Italy, June 7-9, 2004, info:cnr-pdr/source/autori:Pernot J., Guillet S., Léon J., Falcidieno B., Giannini F./congresso_nome:SMI 2004-IEEE International Conference on Shape Modeling and Applications/congresso_luogo:Genova, Italy/congresso_data:June 7-9, 2004/anno:2004/pagina_da:53/pagina_a:62/intervallo_pagine:53–62
Publication Year :
2004
Publisher :
IEEE Computer Society, Los Alamitos [CA], USA, 2004.

Abstract

Fully Free Form Deformation Features (?-F4) have been proposed to overcome the limits of low-level manipulations of free form surfaces. They correspond to shapes obtained by deformation of a surface part according to geometric constraints. In our approach, a ?- F4 is a result of the indirect manipulation of external forces applied to the nodes of a bar network coupled to the control polyhedron of a B-spline surface. The solution of the equation system corresponding to the constraint specifications, often under-constrained, requires the definition of an optimisation problem where an additional objective function has to be minimised. In this paper we propose a new formulation of this optimisation problem where the proposed objective functions can be defined as a multiple combination of various local quantities. They can be related either to the geometry of the bar network (e.g. the length of a bar or the displacement of a node), or to its mechanical magnitudes (e.g. the external force applied at a node or a bar deformation energy). Different types of combinations are also proposed and classified according to the induced level of multi-minimisations. In this way the shape of a ?-F4 can be controlled globally, with a unique minimisation, or locally with different minimisations applied to sub-domains of the surface.

Details

Language :
English
Database :
OpenAIRE
Journal :
SMI 2004-IEEE International Conference on Shape Modeling and Applications, pp. 53–62, Genova, Italy, June 7-9, 2004, info:cnr-pdr/source/autori:Pernot J., Guillet S., Léon J., Falcidieno B., Giannini F./congresso_nome:SMI 2004-IEEE International Conference on Shape Modeling and Applications/congresso_luogo:Genova, Italy/congresso_data:June 7-9, 2004/anno:2004/pagina_da:53/pagina_a:62/intervallo_pagine:53–62
Accession number :
edsair.cnr...........7380b43506af953ab6a030695516c3f1
Full Text :
https://doi.org/10.1109/SMI.2004.1314493