3维重构精度估计的矩阵分析方法

The Matrix Analysis Method for Three -Dimensional Reconstruction Precision Estimation

3维重构可以由影像序列快捷方便地提取目标的3维几何信息。但3维重构的基础是多视几何理论,其计算是基于矩阵推导的非线性过程,故传统摄影测量理论难以用于评估其误差,本文提出一种3维重构精度的估计方法,采用矩阵分析方法,给出了评定重构精度的推导过程,并结合实验数据验证了精度估计的正确性。

The three-dimensional reconstruction technology can extract the three-dimensional geometric information of the objects quickly and easily from the image sequences. However, the foundation of three-dimensional reconstruction is multi-view geometry, which calculation is based on the nonlinear process of matrix, so the traditional photogrammetry theory is difficult to evaluate its error. This paper proposes an error estimation method to the process of three-dimensional reconstruction from image sequence by using the matrix analysis method, while a demonstration is given to test the correctness of the evaluation method.