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Haptic Deformation Simulation with Poisson Equation

Journal Article


Abstract


  • This paper presents a new methodology for the deformation of soft objects by drawing an analogy between Poisson equation and elastic deformation. The potential energy stored in an elastic body as a result of a deformation caused by an external force is propagated among mass points by Poisson equation. An improved Poisson model is developed for propagating the energy generated by the external force in a natural manner. A cellular neural network (CNN) model is established to solve the Poisson model for the real-time requirement of soft object deformation. A haptic virtual reality system has been established for deformation simulation with force feedback. This proposed methodology not only deals with local and large-range deformations, but also accommodates isotropic, anisotropic and inhomogeneous materials by simply modifying constitutive coefficients, as well as predicts the mechanical behaviors of living tissues.

Publication Date


  • 2006

Citation


  • Zhong, Y., Shirinzadeh, B., Alici, G., & Smith, J. (2006). Haptic Deformation Simulation with Poisson Equation. International Journal of Image and Graphics, 6(3), 445-473. doi:10.1142/S0219467806002355

Scopus Eid


  • 2-s2.0-85040033696

Web Of Science Accession Number


Start Page


  • 445

End Page


  • 473

Volume


  • 6

Issue


  • 3

Abstract


  • This paper presents a new methodology for the deformation of soft objects by drawing an analogy between Poisson equation and elastic deformation. The potential energy stored in an elastic body as a result of a deformation caused by an external force is propagated among mass points by Poisson equation. An improved Poisson model is developed for propagating the energy generated by the external force in a natural manner. A cellular neural network (CNN) model is established to solve the Poisson model for the real-time requirement of soft object deformation. A haptic virtual reality system has been established for deformation simulation with force feedback. This proposed methodology not only deals with local and large-range deformations, but also accommodates isotropic, anisotropic and inhomogeneous materials by simply modifying constitutive coefficients, as well as predicts the mechanical behaviors of living tissues.

Publication Date


  • 2006

Citation


  • Zhong, Y., Shirinzadeh, B., Alici, G., & Smith, J. (2006). Haptic Deformation Simulation with Poisson Equation. International Journal of Image and Graphics, 6(3), 445-473. doi:10.1142/S0219467806002355

Scopus Eid


  • 2-s2.0-85040033696

Web Of Science Accession Number


Start Page


  • 445

End Page


  • 473

Volume


  • 6

Issue


  • 3