A linear iterative method for projective reconstruction based on 1D subspace is presented in the paper.It relies on the facts that the rows in the matrix including all the image points span the same linear subspace as the rows in the matrix including space points and that the basis of the subspace can consist of the three rows in the matrix comprising the first image points and a row vector which is orthogonal the former.The row vector and the depth factors are obtained based on linear iteration

and lastly the projective reconstruction is accomplished.The experiments with both simulate and real data show that the method is efficient

robust and has good property of convergence and small re-projection errors.