A Poisson-based methodology for deformable object simulation

Authors:
Y. Zhong;B. Shirinzadeh;G. Alici;J. Smith
Affiliations:
Monash University, VIC, Australia;Monash University, VIC, Australia;University of Wollongong, NSW, Australia;Monash University, VIC, Australia
Venue:
International Journal of Modelling and Simulation
Year:
2008

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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 a soft body as a result of a deformation caused by an external force is propagated among mass points by Poisson equation. The novelty of the methodology is that Poisson-based techniques are established to propagate the energy generated by the external force and to extrapolate the internal forces of a deformed object. A cellular neural network model is established to solve the Poisson model for the real-time requirement of soft object deformation. This proposed methodology not only deals with large-range deformations, but also accommodates isotropic, anisotropic and inhomogeneous materials by simply modifying constitutive coefficients.