Abstract
Feature-based approaches have become popular for the design of products and more widely for the complete product lifecycle management. The geometric model being often used as an intermediate object shared between the different actors of the design process, it is crucial to concentrate on the definition of very powerful tools enabling fast and intuitive definitions/modifications of the product geometry. In this field, we have already proposed the so-called Fully Free Form Deformation Features. They correspond to parts of a free form surface obtained by deformation according to specific constraints and deformation behaviours. Two main control parameters are used: the constraint lines that define both the main directions and the extent of the shape, and the surface behaviours between these lines. Unfortunately, undesirable surface undulations may appear at the end of the constraint lines. This is due to the uncertainty the designer has when defining the blending areas between the different constraint lines. To provide a user-friendly tool, which does not force the user to be very precise, the possibility to relax automatically the end points of the constraint lines is offered. This algorithm is based on an a priori quality criterion which limits the number of inflexion points of auxiliary curves that mimic the shape of the future deformed surface. Once the curvature criterion is satisfied on the curves, the surface deformation process can start while considering the restricted area of the constraint lines.
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References
AIM@SHAPE: Advanced and Innovative Models and Tools for the Development of Semantic-based Systems for Handling, Acquiring, and Processing Knowledge Embedded in Multidimensional Digital Objects, European Network of Excellence, Key Action: 2.3.1.7 Semantic-based Knowledge Systems, VI Framework, URL: http://www.aimatshape.net.
R. Bidarra and W.F. Bronsvoort, Semantic feature modelling, Computer Aided Design 32, 2000, 201–225.
J.J. Shah, Parametric and Feature-Based CAD/CAM, Wiley Interscience Publication, John Wiley Sons, Inc., 1995.
G. Vosniakos, Investigation of feature-based shape modelling for mechanical parts with free form surfaces, Int. J. Adv. Manuf. Technol. 15, 1999, 188–199.
J.S.M. Vergeest and I. Horvath, Parameterization of FreeForm Features, in Proceedings of the IEEE Shape Modelling International Conference 2001, pp. 20–28.
Y. Song, J.S.M. Vergeest and I. Horvath, Reconstruction free form surface with parameterized features, in ASME, DETC’02, New York, 2002.
C.K. Au and M.M.F. Yuen, A semantic feature language for sculptured object modelling, Computer Aided Design 22, 2000, 63–74.
E. van den Berg, H.A. van der Meiden and W.F. Bronsvoort, Specification of FreeForm Features, in ACM Symposium on Solid Modelling and Applications 2003, pp. 56–64.
J.C. Cavendish, Integrating feature-based surface design with freeform deformation, Computer Aided Design 27(9), 1995, 703–711.
M. Fontana, F. Giannini and F. Meirana, Free Form Features for aesthetic design, Int. J. Shape Modelling 6(2), 2000, 273–302.
J-P. Pernot, Fully Free Form Deformation Features for aesthetic and engineering designs, Ph.D. Thesis, INPG(France) and University of Genoa(Italy), 2004, www.3s.hmg.inpg.fr/ci/doc/.
J-P. Pernot, S. Guillet, J-C. Leon, B. Falcidieno and F. Giannini, Shape tuning in Fully Free Form Deformation Features, Journal of Computing and Information Science in Engineering(JCISE) 5(1), 2005, 95–103.
J-P. Pernot, B. Falcidieno, F. Giannini and J-C. Leon, Fully Free Form Deformation Features for aesthetic shapes design, Journal of Engineering Design(JED) 16(2), 2005, 115– 133.
P. Veron and J-C. Leon, Semi-global deformation and correction of free-form surfaces using a mechanical alternative, The Visual Computer 13, 1997, 109–126.
A.M. Geoffrion, Lagrangean relaxation for integer programming, Mathematical Programming Study 2, 1974, 82–114.
G. Farin, Curves and Surfaces for Computer Aided Geometric Design, 5th Edition, Morgan Kaufmann, 2002.
D. Lesage, Un modèle dynamique de spécifications d’ingénierie basé sur une approche de géométrie variationnelle, Ph.D. Thesis, INP-Grenoble, France, 2002.
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Pernot, JP., Qiao, Q., Véron, P. (2007). Constraints Automatic Relaxation to Design Products with Fully Free Form Features. In: Tichkiewitch, S., Tollenaere, M., Ray, P. (eds) Advances in Integrated Design and Manufacturing in Mechanical Engineering II. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6761-7_10
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DOI: https://doi.org/10.1007/978-1-4020-6761-7_10
Publisher Name: Springer, Dordrecht
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