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Multi-minimisations for shape control of Fully Free Form Deformation Features (Contributo in atti di convegno)

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Multi-minimisations for shape control of Fully Free Form Deformation Features (Contributo in atti di convegno) (literal)

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Pernot J., Guillet S., Léon J., Falcidieno B., Giannini F. (2004)
Multi-minimisations for shape control of Fully Free Form Deformation Features
in SMI 2004 - IEEE International Conference on Shape Modeling and Applications, Genova, Italy, June 7-9, 2004
(literal)

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Proceedings of SMI 2004 - IEEE International Conference on Shape Modeling and Applications (literal)

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Laboratory 3 S - Integrated Design Project - Domaine Universitaire, Grenoble, France Istituto di Matematica Applicata e Tecnologie Informatiche - CNR Via De Marini, Genova, Italy (literal)

Titolo

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

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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. (literal)

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