In integral imaging, lens arrays are used to capture the image of the object and display the three-dimensional (3-D) image. In principle, the 3-D image is reconstructed at the position where the object was. We have hitherto proposed a method for controlling the depth position of the reconstructed image by applying numerical processing to the captured image information. First, the rays from the object are regenerated by numerical processing by using information captured from the actual object together with a first virtual lens array. Next, the regenerated rays are used to generate 3-D information corresponding to a prescribed depth position by arranging a second virtual lens array. In this paper, we clarify the spatial frequency relationship between the object and the depthcontrolled reconstructed image, and we propose filter characteristics that can be used to avoid aliasing. We also report on experiments in which we confirm the effectiveness of the proposed filter.© (2009) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.