多视图的三维景物中平表面重建

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Title:

3-D scene plane reconstruction based on multiple views

作者:

李静¹, 杨宜民², 蔡述庭²

1. 洛阳师范学院 信息技术学院, 河南 洛阳 471022;
2. 广东工业大学 自动化学院, 广东 广州 510090

Author(s):

LI Jing¹, YANG Yimin², CAI Shuting²

1. Academy of Information Technology, Luoyang Normal University, Luoyang 471022, China;
2. School of Automation, Guangdong University of Technology, Guangzhou 510090, China

关键词:

三维景物中平表面; 重建; 单应矩阵; 约束条件; 智能算法; 遗传算法

Keywords:

3-D scene plane; reconstruction; homography; constraint condition; intelligent algorithm; genetic algorithm

分类号:

TP391.41

DOI:

10.3969/j.issn.1673-4785.201309029

摘要:

针对使用传统的三维景物重建方法用于三维景物中平表面重建而出现的精度低等问题, 提出了2种基于多视图的三维景物中平表面重建模型:最小化反投影误差的平表面重建模型和最小化转移误差的平表面重建模型。第1种模型利用反投影线应与空间平面相交且交于一点, 从而将误差转移到空间平面上进行最小化反投影误差;第2种模型利用二维空间平面与二维图像平面之间的单应转移关系, 从而将误差转移到空间平面上最小化转移误差。这2种模型都采用遗传算法进行优化求解, 从而获得平表面重建结果。实际上, 2种平表面重建方法的基本原理相同, 只是计算复杂度不同。实验结果表明, 2种平表面重建方法的精度基本一致, 而平表面重建的精度大大提高。

Abstract:

With consideration to the problems including low accuracy of the 3-D scene plane reconstruction by using the traditional 3-D reconstruction method, two kinds of 3-D scene plane reconstruction models based on multiple views are presented. One is the model of a scene plane reconstruction based on minimizing the reverse projection error. The other is the model of a scene plane reconstruction based on minimizing the transfer error. The first model uses the knowledge that the reverse projection lines should not only intersect with a scene plane but should also meet at one point in a scene plane, so as to minimize the reverse projection error in the scene plane. The second model uses the transfer relationship between the image plane and the scene plane, so as to minimize the transfer error in the scene plane. Finally, the optimized value is computed by the genetic algorithm. The basic principles of the two methods are the same, and the difference between them is in regard to the computational complexity. The experimental results show that the accuracy of the two methods is almost the same and the accuracy of the 3-D scene plane reconstruction is improved greatly.