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HAPTIC DEFORMATION SIMULATION WITH POISSON EQUATION

YONGMIN ZHONG

Department of Mechanical Engineering, Monash University, Clayton, VIC 3800, Australia

Corresponding author Tel.: +61 3 99051623; fax: +61 3 99051825.

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BIJAN SHIRINZADEH

Department of Mechanical Engineering, Monash University, Clayton, VIC 3800, Australia

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GURSEL ALICI

School of Mechanical, Materials, and Mechatronics Engineering, University of Wollongong, Wollongong, NSW 2522, Australia

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and

JULIAN SMITH

Department of Surgery, Monash Medical Centre, Monash University, Clayton, VIC 3800, Australia

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https://doi.org/10.1142/S0219467806002355Cited by:0

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.

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Vol. 06, No. 03

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History

Received 14 June 2005

Revised 7 April 2006

Accepted 10 April 2006

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HAPTIC DEFORMATION SIMULATION WITH POISSON EQUATION

Abstract

References

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