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Reconstructing ellipsoids from three projection contours

机译:从三个投影轮廓重建椭球

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摘要

In this paper, a method for reconstructing ellipsoids from three projection contours is described. Line integral projection of an ellipsoid with uniform density is developed to obtain the equation of the projection contour for any projection view. The reconstruction method starts from the estimation of parameters of a projection contour that has elliptic shape. Then an error function utilizing three sets of ellipse parameters estimated in the previous step is minimized to estimate ellipsoid parameters. Simulation and real experiments demonstrate the validity, usefulness and accuracy of the proposed method.
机译:在本文中,描述了一种从三个投影轮廓重建椭球的方法。开发具有均匀密度的椭球的线积分投影,以获得任何投影视图的投影轮廓方程。重建方法从具有椭圆形的投影轮廓的参数的估计开始。然后,利用上一步估计的三组椭圆参数的误差函数被最小化,以估计椭球参数。仿真和实际实验证明了该方法的有效性,实用性和准确性。

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