In this paper, a linear camera self-calibration technique based on projective reconstruction is proposed. With the camera undergoing at least a pure translation and two arbitrary motions, all the five intrinsic parameters can be obtained. The novelties of the proposed method are three-fold. Firstly, it is a linear one, which does not involve any local minimum problem largely plagued non-linear calibration methods in the literature. Secondly, the proposed method is based on projective reconstruction. Its robustness is markedly increased since all the images are aligned in the projective reconstruction process. Thirdly, the proposed method does not require specialized hardware support, as a result, as a result, can be used in a wide range of applications. For example, in an extreme case, the camera can applicability and feasibility of the proposed method.