Motion Identification of Planar Free-Form Objects

M. Unel (Turkey) and B.K. Ghosh (USA)


Algebraic Curves, Rigid and Affine Dynamics, Riccati Equations, Parameter Identification.


It has been shown recently that rigid or affine dynamics of curves defined by algebraic equations can be represented in terms of Riccati dynamics of possibly complex lines. In this work, we develop new Riccati equations in real vari ables for closed-bounded curves and new recursions on multiplicative scalars in the decomposition of the curve. A parameter identification scheme has also been proposed, and the results are verified by simulations.

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