In this paper, we propose a new ellipsoidal mixture model. This model is based a new probability density function belonging to the family of elliptical distributions and designed to model points spread around an ellipsoidal surface. Then, we consider a mixture model based on this density, whose parameters are estimated with the help of an EM algorithm. The properties of the estimates are studied theoretically and empirically. The algorithm is compared to a state of the art ellipse fitting method and experimented on 3D data.

翻译：本文提出了一种新的椭球混合模型。该模型基于一种属于椭圆分布族的新概率密度函数，旨在对椭球表面周围散布的点进行建模。随后，我们考虑了基于该密度的混合模型，其参数通过EM算法进行估计。我们从理论和实证两方面研究了估计量的性质。该算法与最先进的椭圆拟合方法进行了比较，并在三维数据上进行了实验验证。