Parameterised, constraint-based wrapping of freeform shapes

Computers and Graphics (Pergamon)

Volumn 31, Issue 1, 2007, Pages 89-99

  van den Berg, Eelco ^a   Bronsvoort, Willem F ^a  

^a Department of Microelectronics   (Netherlands)

Author keywords

Constraint solving; Constraints; Freeform shapes; Geometric modelling; Parameterisation

Indexed keywords

COMPUTATIONAL GEOMETRY; CONSTRAINT THEORY; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

CONSTRAINT SOLVING; FREEFORM SURFACES; GEOMETRIC MODELLING;

ALGEBRA;

EID: 33846910197     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cag.2006.09.011     Document Type: Article

References (16)

1. Piegl L., and Tiller W. The NURBS book. 2nd ed (1997), Springer, Berlin
2. van den Berg E., Bronsvoort W.F., and Vergeest J.S.M. Freeform feature modelling: concepts and prospects. Computers in Industry 49 2 (2002) 217-233
3. Qin H., and Terzopoulos D. D-NURBS: a physics-based framework for geometric design. IEEE Transactions on Visualization and Computer Graphics 2 1 (1996) 85-96
4. Barr A.H. Global and local deformations of solid primitives. SIGGRAPH Computer Graphics 18 3 (1984) 21-30
5. Sederberg T.W., and Parry S.R. Free-form deformation of solid geometric models. SIGGRAPH Computer Graphics 20 4 (1986) 151-160
6. Coquillart S. Extended free-form deformation: a sculpturing tool for 3D geometric modeling. SIGGRAPH Computer Graphics 24 4 (1990) 187-196
7. Chiyokura H., and Kimura F. Design of solids with free-form surfaces. SIGGRAPH Computer Graphics 17 3 (1983) 289-298
8. Elber G. Generalized filleting and blending operations toward functional and decorative applications. Graphical Models 67 3 (2005) 189-203
9. Bidarra R., and Bronsvoort W.F. Semantic feature modelling. Computer-Aided Design 32 3 (2000) 201-225
10. Hoffmann C.M., and Joan-Arinyo R. On user-defined features. Computer-Aided Design 30 5 (1998) 321-332
11. Chen X., and Hoffmann C.M. Towards feature attachment. Computer-Aided Design 27 9 (1995) 695-702
12. van den Berg E, Bidarra R, Bronsvoort WF. Construction of freeform feature models with attachments. In: Proceedings of the ASME 2004 design engineering technical conferences and design automation conference (Salt Lake City, Utah, USA, September 28-October 2, 2004). New York: ASME; 2004.
13. Poldermann B, Horvath I. Surface design based on parametrized surface features. Proceedings of the international symposium on tools and methods for concurrent engineering (Budapest, Hungary, May 29-31, 1996). Budapest: Institute of Machine Design, Technical University of Budapest; p. 432-46.
14. van den Berg E., van der Meiden H.A., and Bronsvoort W.F. Specification of freeform features. Proceedings of the eighth ACM symposium on solid modeling and applications (Seattle, Washington, USA, June 16-20, 2003) (2003), ACM Press, New York 56-64
15. Hoffmann C.M., and Vermeer P.J. Geometric constraint solving in R2 and R3. Computing in Euclidean geometry. 2nd ed (1995), World Scientific, Singapore 266-298
16. van der Meiden H.A., and Bronsvoort W.F. An efficient method to determine the intended solution for a system of geometric constraints. International Journal of Computational Geometry and Applications 15 3 (2005) 279-298