一维子空间的三维重建方法

为了从图像序列中恢复三维物体,假设相机为正投影模型,提出了一种基于一维子空间的三维重建方法.利用所有图像序列构成的行向量生成的子空间之和与三维空间点构成的行向量生成的子空间是同一线性子空间、同时由所有图像点构成的2个行向量外加一个行向量就可以组成该子空间的一个基底的特性,线性地求取子空间中的行向量,最后完成三维重建.模拟和真实实验结果表明,该重建方法具有鲁棒性好、重投影误差小等优点,而且能够将图像平等地对待.

3D Reconstruction Method with 1 D Subspace

To recover 3D objects from a sequence of images,a 3D reconstruction method is pres-ented based on 1D subspace under the orthographic projection assumption.The method relies on the facts that the rOW vectors composed of all the image points span,the same linear subspace as the row vectors composed of 3D space points span and that a basis of the subspace can consist of two row vectors composed of all the image points and one row vector in 3D space that is orthogo-nal to the former.The row vector can be determined,and the 3D reconstruction is accomplished.The novehy lies in the fact that the method can treat all the image points uniformly.Experiments with both simulation data and real data show that the method is efficient and robust with small re-projection errors.