Geometrically exact dynamic splines

CAD Computer Aided Design

Volumn 40, Issue 1, 2008, Pages 35-48

  Theetten, A ^a   Grisoni, L ^a   Andriot, C ^b   Barsky, B ^c  

^a ECOLE CENTRALE DE LILLE   (France)

^b INSTITUT DE RADIOPROTECTION ET DE SÛRETÉ NUCLÉAIRE   (France)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Beam theory; Elastic; Lagrange equations; Plastic; Spline

Indexed keywords

COMPUTER AIDED DESIGN; MATHEMATICAL MODELS; PLASTIC DEFORMATION; VIRTUAL REALITY;

BEAM THEORY; LAGRANGE EQUATIONS; MECHANICAL CABLE PROPERTIES; VIRTUAL SYSTEM;

COMPUTATIONAL GEOMETRY;

EID: 38649101898     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2007.05.008     Document Type: Article

References (33)

1. Flexilution. URL: http://flexilution.com
2. Lenoir J., Cotin S., Duriez C., and Neumann P. Interactive physically-based simulation of catheter and guidewire. Computer and Graphics 30 3 (2006) 417-423
3. Qin H., and Terzopoulos D. D-NURBS: A physics-based framework for geometric design. Transactions on visualization and computer graphics vol. 2-1 (1996), IEEE 85-96
4. Michelucci D., Foufou S., Lamarque L., and Schreck P. Geometric constraints solving: Some tracks. SPM '06: Proceedings of the 2006 ACM symposium on solid and physical modeling (2006), ACM Press, New York (NY, USA) 185-196
5. Benko P., Kos G., Varady T., Andor L., and Martin R. Constrained fitting in reverse engineering. Computer Aided Geometrical Design 19 3 (2002) 173-205
6. Welch W., and Witkin A. Variational surface modeling. Computer Graphics 26 2 (1992) 157-166
7. Terzopoulos D., Platt J., Barr A., and Fleischer K. Elastically deformable models. Computer Graphics 21 4 (1987) 205-214
8. Jeong I.-K., and Lee I. An oriented particle and generalized spring model for fast prototyping deformable objects. Eurographics (2004)
9. Redon S, Galoppo N, Lin MC. Adaptive dynamics of articulated bodies. ACM Transactions on Graphics 24(3)
10. James DL, Pai DK. Artdefo: Accurate real time deformable objects
11. Mueller M., Dorsey J., McMillan L., Jagnow R., and Cutler B. Stable real-time deformations. Symposium on computer animation, ACM SIGGRAPH/eurographics symposium on computer animation (2002), ACM Press, San Antonio (Texas) 49-54
12. Cosserat E., and Cosserat F. Théorie des objets déformables (1909), Hermann
13. Pai D. STRANDS: Interactive simulation of thin solids using Cosserat models, Computer Graphics Forum 21-3
14. Wakamatsu H., and Hirai S. Static modeling of linear object deformation based on differential geometry. The International Journal of Robotics Research 23 (2004) 293-311
15. Bertails F., Audoly B., Cani M.-P., Querleux B., Leroy F., and Lévêque J.-L. Super-helices for prediciting the dynamics of natural hair. ACM Transactions on Graphics (2006)
16. Grégoire M, Schömer E. Interactive simulation of one-dimensional flexible parts. In: Symposium on solid and physical modeling. ACM; 2006. p. 95-103
17. Nocent O., and Rémion Y. Continuous deformation energy for dynamic material splines subject to finite displacements. Proceedings of the eurographic workshop on computer animation and simulation (ACM) (2001), Springer-Verlag New York, Inc., New York (NY, USA) 88-97
18. Lenoir J, Meseure P, Grisoni L, Chaillou C. A suture model for surgical simulation. In: 2nd international symposium on medical simulation. 2004. p. 105-13
19. Lenoir J, Grisoni L, Meseure P, Chaillou C. Adaptive resolution of 1d mechanical B-spline. In: Graphite. Dunedin (New Zealand); 2005. p. 395-403
20. Terzopoulos D., and Fleischer K. Modeling inelastic deformation: Viscolelasticity, plasticity, fracture. SIGGRAPH'88: Proceedings of the 15th annual conference on computer graphics and interactive techniques (1988), ACM Press, New York (NY, USA) 269-278
21. Wicke M, Steinemann D, Gross M. Efficient animation of point-based thin shells. In: Proceedings of eurographics'05. 2005. p. 667-76
22. O'Brien J.F., Bargteil A.W., and Hodgins J.K. Graphical modeling and animation of ductile fracture. SIGGRAPH'02: Proceedings of the 29th annual conference on computer graphics and interactive techniques (2002), ACM Press, New York (NY, USA) 291-294
23. Howell L.L. Compliant mechanisms (2001), Wiley-Interscience
24. Courbon J. Théorie des poutres (1980)
25. Press W.H., Flannery B.P., Teukolsky S.A., and Vetterling W.T. Numerical recipes in C (1988), Cambridge University Press
26. Boyer F., and Primault D. Finite element of slender beams in finite transformations: A geometrically exact approach. International Journal of Numerical Methods in Engineering 59 (2004) 669-702
27. Chouaïeb N. Kirchhoff's problem of helical solutions of uniform rods and their stability properties. Ph.D. thesis. 2004
28. Hilde L., Meseure P., and Chaillou C. A fast implicit integration method for solving dynamic equations of movement. ACM symposium on virtual reality software and technology (2001), ACM Press, New York (NY, USA) 71-76
29. Shuttleworth G.N., Vaughn L.F., and Hoh H.B. Material properties of ophthalmic sutures after sterilization and disinfection. Journal of Cataract and Refractive Surgery 25 (1999) 1270-1274
30. Lenoir J, Grisoni L, Meseure P, Rémion Y, Chaillou C. Smooth constraints for spline variational modeling. In: Graphite. Singapore: Nanyang Technological University; 2004. p. 58-64
31. Bloomenthal J. Calculation of reference frames along a space curve (1990) p. 567-71
32. Boyer F, Primault D. Finite element of nonlinear cables : Applications to robotics. Far East Journal of Applied Mathematics
33. Beléndez T., Neipp C., and Beléndez A. Large and small deflections of a cantilever beam. European Journal of Physics 23 (2002) 371-379