摄像机简化模型对三维重构的影响--分析与实验

讨论了摄像机简化模型对三维重构的影响．主要结论有：当摄像机在两幅图像间的运动为纯平移运动时，从理论上证明了使用摄像机简化模型重构空间点与实际空间点之间满足仿射变换；当摄像机在两幅图像间的运动为一般刚体运动时，使用简化模型的重构只有在一定条件下才能较好地保持原物体的形状；在简化模型下，基于Kruppa方程的方法所估计的焦距精度不能满足三维重构的要求．实验结果表明：在三维重构中不能盲目地使用简化模型，必须对摄像机内参数进行全面标定．

The Effects of the Simplified Camera Model on 3D Reconstruction--Analysis and Experiments

The effects of the simplified camera model on 3D reconstruction from two images are investigated, the main conclusions are: When the camera motion between the two images is a pure translation, it is proved that the reconstructed object under the simplified camera model is an affine transformation of the original one. When the camera motion between the two images is a general rigid motion, some rather strict conditions must be satisfied in order for the reconstructed object under the simplified camera model to be faithful of its original shape. Under the simplified camera model, the estimated effective focal length through the Kruppa equation is in general not accurate enough for 3D reconstruction; a full camera calibration is needed for any real applications in 3D reconstruction, and the simplified model is in general not a viable replacement.