引用本文: 刘侍刚, 彭亚丽, 韩崇昭, 王英华. 基于1维子空间的3维重建算法[J]. 机器人, 2009, 31(3): 224-228.
LIU Shi-gang, PENG Ya-li, HAN Chong-zhao, WANG Ying-hua. A 3D Reconstruction Algorithm Based on 1D Subspace[J]. ROBOT, 2009, 31(3): 224-228.
 Citation: LIU Shi-gang, PENG Ya-li, HAN Chong-zhao, WANG Ying-hua. A 3D Reconstruction Algorithm Based on 1D Subspace[J]. ROBOT, 2009, 31(3): 224-228.

## A 3D Reconstruction Algorithm Based on 1D Subspace

• 摘要: 为了重建3维场景，假设相机为正投影模型，提出了一种基于1维子空间的3维重建算法．所有图像序列构成的行向量与3维空间点构成的行向量所生成的子空间是同一线性子空间，而且由第1幅图像点构成的2个行向量外加1个行向量就可以组成该子空间的一个基底．该算法利用上述特性，线性地求取该行向量，最后完成3维重建．模拟实验和真实实验数据结果表明，该重建算法具有鲁棒性好、重投影误差小等优点．

Abstract: To recover the 3D scene,a 3D reconstruction algorithm based on ID subspace is presented under orthographic projection.It relies on the facts that the rows composed of all the image points span the same linear subspace as the rows composed of the 3D space points and that the basis of the subspace can consist of the two rows composed of the first image points and a row vector which is orthogonal to the former.The row vector is obtained,and lastly the 3D reconstruction is accomplished.The experiments with both simulation and real data show that the algorithm is robust and has small reprojection errors.

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