中文摘要：

针对在三维重构过程中用L—M（Levenberg—Marquardt）方法求解超二次曲面参数拟合问题的不足，提出了用粒子群优化算法来进行超二次曲面参数拟合的新方法．本文详细阐述了超二次曲面的三维表示特性，L—M算法拟合超二次曲面参数模型的分析，以及用粒子群优化算法拟合超二次曲面参数模型的原理、实现方法和实验结果．用粒子群优化算法对超二次曲面进行参数拟合，克服了L—M方法的缺陷，取了满意的效果．

英文摘要：

In this paper, a new method of superquadric parametric fitting by particle swarm optimization algorithm was proposed. It aimed at remedying the defect of superquadric parametric fitting problem which is solved with L-M （Levenberg-Marquardt） method in 3D reconstruction. This paper investigated 3D representation characteristic of superquadrics and the analysis of fitting superquadric parametric model using L-M algorithm. It presented the principle, implementing method and experimental results of fitting superquadric parametric using particle swarm optimization. The results showed the effectiveness of the proposed approach.