基于秩1约束的三维重建方法

A 3D Reconstruction Method Based on Rank 1

假设相机为正投影模型,提出了一种基于秩1约束的三维重建方法,该方法并不是直接求解空间结构点和投影矩阵,而是求解空间结构点的深度及投影矩阵。本文利用空间结构点可以由第1幅图像点及深度构成的特性,构造了一个秩为1的矩阵,利用该矩阵求取空间结构点的深度,最后完成三维重建。模拟实验和真实实验数据结果表明,该重建方法具有较高的重建精度。

Under orthographic projection, a 3D reconstruction method based on rank 1 matrix containing all the image points in all views is presented in the paper. In the method, the unknowns are the 3D motion and relative depths of the set of points, not their 3D positions. The coordinates of the points along the camera plane are given by the first image positions. The knowledge of the coordinates along the camera plane enables us to solve the projective reconstruction problem by the factorizing the rank 1 matrix. Experiments with both simulated and real data show that the method has high precistion in 3D reconstruction.