A Lower Bound on the Variance of Algebraic Ellipsoid-fitting Center Estimator
نویسنده
چکیده
Ellipsoid fitting is a widely used technique in 3D shape modeling, which simultaneously estimate the center and orientation of 3D object. This paper explores the limits of performance for the ellipsoid-fitting center estimator. It is shown that the noise in the surface sample data can be approximated by a Gaussian distribution when the signal to noise ratio is high. The Cramér-Rao lower bound is applied to yield a bound on the variance of unbiased ellipsoidfitting center estimator. The simulation results show that the bound is approachable by the center estimator developed from Bookstein’s ellipsoid fitting method when the noise level is low.
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