基于二次测量误差模型的基本矩阵计算

基于二次测量误差模型的基本矩阵计算

钟慧湘，冯月萍，庞云阶

（吉林大学计算机科学与技术学院，长春130012）

收稿日期:2005-01-06 修回日期:1900-01-01 出版日期:2005-09-26 发布日期:2005-09-26
通讯作者: 钟慧湘

Computation of the Fundamental Matrix Based on a Quadratic Measurement Error Model

ZHONG Hui-xiang，FENG Yue-ping，PANG Yun-jie

（College of Computer Science and Technology，Jilin University，Changchun130012，China）

Received:2005-01-06 Revised:1900-01-01 Online:2005-09-26 Published:2005-09-26
Contact: ZHONG Hui-xiang

摘要/Abstract

摘要： 基于二次测量误差模型，提出计算基本矩阵的一个鲁棒方法.通过对匹配点对做平移和尺度调整等规范化处理，增强算法的数值稳定性.并应用高效的黄金分割法求解一维不可微优化问题确定噪声水平，进而得到基本矩阵.数值实验结果表明了该方法的有效性.

关键词: 基本矩阵, 二次测量误差模型, 规范化, 黄金分割

Abstract: Based on a quadratic measurement error model，an efficient computational method for estimating the fundamental matrix is presented.At first，to improve the numerical stability，the matching point pairs in each image are normalized via translation and scale regulation，then the Golden Section method is used to complete minimization of a non-smooth function and to determine the level of noise, and the fundamental matrix is then achieved.Numerical experimental results show the effectiveness of the proposed method.

Key words: fundamental matrix, quadratic measurement error model, normalization, golden section

中图分类号:

TP391

钟慧湘，冯月萍，庞云阶. 基于二次测量误差模型的基本矩阵计算[J]. J4, 2005, 43(05): 627-630.

ZHONG Hui-xiang，FENG Yue-ping，PANG Yun-jie. Computation of the Fundamental Matrix Based on a Quadratic Measurement Error Model[J]. J4, 2005, 43(05): 627-630.