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An Inextensible Wire-shaped Deformation Model for Catheter Simulation

카테터의 거동을 시뮬레이션 하기 위한 고정된 길이를 유지하는 실 형상의 변형체 모델

  • Han, Hyehyun (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology) ;
  • Lee, Doo Yong (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology)
  • Received : 2016.05.26
  • Accepted : 2016.07.18
  • Published : 2016.08.01

Abstract

This paper proposes an inextensible wire-shaped deformation model to simulate catheter behavior. The wire-shaped model consists of serially-connected mass points and massless rigid links. Torsional springs and dampers are employed to accommodate bending. Deformation is computed by updating the rotation angles from the global coordinates while maintaining the fixed length condition. Equations of motion is derived from double pendulum motion. Spring constant is computed using strain energy and potential energy stored in a torsional spring to reflect material property. Simulation is conducted to show deformation of wire model while maintaining inextensibility condition and including material properties. The proposed method guarantees inextensible constraint in the catheter simulation.

Keywords

References

  1. J. Spillmann and M. Teschner, "CoRdE: Cosserat rod elements for the dynamic simulation of one-dimensional elastic objects," Proc. of the 2007 ACM SIGGRAPH/ Eurographics Symposium on Computer Animation, pp. 1-10, 2007.
  2. J. Spillmann and M. Harders, "Inextensible elastic rods with torsional friction based on lagrange multipliers," Computer Animation and Virtual Worlds, vol. 21, no. 6, pp. 561-572, 2010. https://doi.org/10.1002/cav.362
  3. M. Gregoire and E. Schomer, "Interactive simulation of onedimensional flexible parts," Computer-Aided Design, vol. 39, no. 8, pp. 694-707, 2007. https://doi.org/10.1016/j.cad.2007.05.005
  4. L. Shun, J. Guo, Q. Wang, Q. Meng, Y. P. Chui, J. Qin, and P. A. Heng, "A catheterization-training simulator based on a fast multigrid solver," Computer Graphics and Applications, IEEE, vol. 32, no. 6, pp. 56-70, 2012.
  5. J. Brown, J. Latombe, and K. Montgomery, "Real-time knottying simulation," The Visual Computer: International Journal of Computer Graphics, vol. 20, no. 2, pp. 165-179, May 2004. https://doi.org/10.1007/s00371-003-0226-y
  6. M. Muller, T.-Y. Kim, and N. Chentanez, "Fast simulation of inextensible hair and fur," Proc. of 9th Workshop on Virtual Reality Interaction and Physical Simulations, pp. 39-44, 2012.
  7. C. Duriez, S. Cotin, J. Lenoir, and P. Neumann, "New approaches to catheter navigation for interventional radiology simulation," Computer Aided Surgery, vol. 11, no. 6, pp. 300-308, 2006. https://doi.org/10.3109/10929080601090623
  8. H. Han and D. Y. Lee, "A method to constrain the fixed length in the simulation of wire-shaped objects," Proc. of ICROS Annual Conference 2016, COEX, Korea, pp. 209-210, Mar. 2016.
  9. A. Nealen, M. Muller, R. Keiser, E. Boxerman, and M. Carlson, "Physically based deformable models in computer graphics," Computer Graphics Forum, vol. 25, no. 4, pp. 809-836, 2006. https://doi.org/10.1111/j.1467-8659.2006.01000.x
  10. V. Baudet, M. Beuve, F. Jaillet, B. Shariat, and F. Zara, "New mass-spring system integrating elasticity parameters in 2D," Tech. Rep. RR-LIRIS-2007-003, pp. 1-8, 2007.
  11. http://www.terumo-europe.com/
  12. http://www.matweb.com/
  13. https://en.wikipedia.org/wiki/EPDM_rubber
  14. http://www.engineeringtoolbox.com/young-modulus-d_417.html