Transitional Object's Shape Simulation by Lagrange's Equation and Finite Element Method

R.R. Pinho and J.M.R.S. Tavares (Portugal)


Deformable Objects, Movement/Deformation Simulation, Matching, Finite Element Method, Lagrange's Equation, Modal Analysis.


This paper presents a methodology to obtain transitional objects' shapes by a physics-based simulation. Given two 2D/3D images of different objects or of the same object at different instants, using the Finite Element Method two models are built, and the Lagrange's equation is solved to simulate the involved deformation. We used and compared two different finite elements to build each objects' model: the Sclaroff's isoparametric element and the linear axial element.

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