[1]杨利峰 谢世朋.基于统计优化的单应矩阵估计算法[J].计算机技术与发展,2012,(08):139-142.
　YANG Li-feng,XIE Shi-peng.Estimation Method of Homography Matrix Based on Statistical Optimization[J].,2012,(08):139-142.
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基于统计优化的单应矩阵估计算法
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2012年08期
页码:
139-142
栏目:
智能、算法、系统工程
出版日期:
1900-01-01

文章信息/Info

Title:
Estimation Method of Homography Matrix Based on Statistical Optimization
文章编号:
1673-629X（2012）08-0139-04
作者:
杨利峰1 谢世朋2
[1]阜阳师范学院数学与计算科学学院[2]安徽大学数学科学学院
Author(s):
YANG Li-feng;  XIE Shi-peng
[1]School of Mathematics and Computational Science, Fuyang Teachers College[2]School of Mathematical Science, Anhui University
关键词:
单应矩阵; 估计; 统计优化; 张量; 归一化
Keywords:
homography matrix;  estimation;  statistical optimization;  tensor analysis;  normalization
分类号:
TP391
文献标志码:
A
摘要:
计算机科学中研究的图像是真实世界（即二维、三维欧式空间）到像平面的射影变换。平面射影变换（单应）估计是特征目标检测、注册、识别、三维重建等方面的关键步骤，但是如何鲁棒、精确地估计单应矩阵是一个没有很好解决的问题。在研究中发现，基于点与直线的直接的单应矩阵估计方法会导致出现较大误差的情况。针对这一情况，文中介绍了一种基于统计优化的单应矩阵估计方法，这种方法是通过单应矩阵的协方差张量的计算和优化来估计单应矩阵的。最后进行了简单的实验，比较了统计优化方法与进行归一化处理后的直接线性方法的估计结果，证明了基于优化统计的估计方法更加有效
Abstract:
The study of the images in computational science is projective transformation between the real world （ the two-dimentional and three-dimentional Euclidean geometry） and the plane. Plane projective transformation （ homography ） estimation is a necessary step in many feature-based object detection, registration, recognition, three-dimention reconstruction and some other aspects, however, how to robustly and accurately estimate homography from images is a difficult problem. In this paper found that usual method of homography estimation based on points and lines may result in relatively big errors. Under such configurations, a new estimation method which is based on statistical optimization is proposed in this paper,this method estimates homography matrix through covariance tensor of homography matrix. Have conduced some experiments and compared the estimation results between the method of statistical optimization and the meth- od of normalized DLT,thus proved that the estimation method based on statistical optimization is more effective

相似文献/References:

[1]付海洋 牛连强 刘守琳.一种基于平面模板的单应矩阵求解方法[J].计算机技术与发展,2010,(04):69.
　FU Hai-yang,NIU Lian-qiang,LIU Shou-lin.A Solving Homography Matrix Method Based on Planar Pattern[J].,2010,(08):69.
[2]张睿敏,张甲艳,陶 冶.变分贝叶斯估计图像滤波去噪算法[J].计算机技术与发展,2021,31(07):59.[doi:10. 3969 / j. issn. 1673-629X. 2021. 07. 010]
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备注/Memo

备注/Memo:
安徽省高等学校青年人才基金项目（2009SQRZ150）杨利峰（1981-），男，硕士，讲师，研究方向为模式识别、智能计算
更新日期/Last Update: 1900-01-01