Three-dimensional scene is the mirror image of recording scene in a traditional integral imaging system. However, when a camera array is employed to capture elemental images, it can not be reconstructed correctly becaused of the mismatch between the parameters of lens array and the parameters of camera array. In order to rebuild a new relationship between the reconstructed image distance and the parameters of elemental images, a new method by using the Space of Corresponding Image Points (SCIP) to calculate the reconstructed image distance is proposed. In this method, the SCIP is a function of the object distance of scene, the focal length of camera and other parameters. It is equivalent to the lens array in the process of image reconstruction. By transforming the SCIP matched with the parameters of lens array, the scene with different reconstracted image distances can be reconstructed exactly. By experiments, this paper verifies that different SCIPs can result in different reconstructed image distances theoretically and experimentally.