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一种新的高精度的L-M基本矩阵估计算法
引用本文:毛雁明,冯乔生.一种新的高精度的L-M基本矩阵估计算法[J].计算机工程与应用,2012,48(20):191-194,205.
作者姓名:毛雁明  冯乔生
作者单位:1. 宁德师范学院计算机系,福建宁德,352100
2. 云南师范大学信息学院,昆明,650092
基金项目:福建省自然科学基金(No.2009j01294);宁德师范高等专科学校科研资助项目(No.2009Y034);宁德师范学院“服务海西建设”资助项目(No.2010H313)
摘    要:分析了基于随机抽样检测思想的现有鲁棒算法在基本矩阵估计中存在的不足,结合LMedS和M估计法各自的优点,提出一种新的高精度的L-M基本矩阵估计算法。利用LMedS思想方法获得内点集,此时内点集通常情况下不包含误匹配,但仍存在位置误差,用Torr-M估计法计算基本矩阵,因为当匹配点只存在位置误差时,用M估计法得到的基本矩阵非常精确。大量的模拟实验和真实图像实验数据表明,在高斯噪声和误匹配存在的情况下,该算法具有更高的鲁棒性和精确度。

关 键 词:基本矩阵  最小平方中值法  M估计法

New L-M algorithm with high accuracy for estimating fundamental matrix
MAO Yanming , FENG Qiaosheng.New L-M algorithm with high accuracy for estimating fundamental matrix[J].Computer Engineering and Applications,2012,48(20):191-194,205.
Authors:MAO Yanming  FENG Qiaosheng
Affiliation:1.Department of Computer,Ningde Normal University,Ningde,Fujian 352100,China 2.College of Information,Yunnan Normal University,Kunming 650092,China
Abstract:By analyzing the shortcoming of existing robust algorithms based on random sampling employed in estimating the fundamental matrix,combining the advantages of LMedS and M-estimators,a new L-M algorithm is proposed with high accuracy for estimating fundamental matrix.The algorithm uses the idea of LMedS method to construct an inliers set of matching points,in general,the inliers set does not contain false matches,but also exists bad locations.It uses Torr-M-estimators to compute fundamental matrix.M-estimators can get a accurate fundamental matrix when the inliers set only contains bad locations.Experimental results on a mass of synthetic data and real images show that the proposed algorithm has higher robustness and estimating accuracy in the case of Gaussian noise and mismatching.
Keywords:fundamental matrix  Least Median of Square(sLMedS)  M-estimators
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