Abstract: To obtain 3D nonrigid projective reconstruction, we propose a 3D nonrigid projective reconstruction method with the camera as the perspective model. The nonrigid can be taken as some feature trajectories, and the basis of the low dimension subspace spanned by the trajectories can be predefined. At the same time, the row and the column vectors from the image matrix span a low dimension subspace. On the basis of the above properties, the depth factors can be obtained, and the projective reconstruction is realized. The basis of the subspace spanned by all the trajectories can be defined in advance. Thus, the number of solved unknowns is greatly reduced, and the method becomes more robust. At the same time, while solving the depth factors, the constraints from the row and the column vectors of the image matrix are used, which improves the reconstruction precision. Simulation and actual results show that the proposed method has the advantages of fast convergence and small errors.