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Image based rendering (IBR) is basically a light ray resampling method for generating a novel image without aliasing artifacts from a given set of sampled light rays. To avoid aliasing artifacts, conventional methods require an estimate of the scene geometry. In this paper, we present a novel IBR method by linear filtering without estimating the scene geometry, for the simplified case when generating a virtual image at the center of 2×2 sparse camera array for a two depth-layers scene. The reconstruction filter used in the proposed method can derive by integrating all the process in our previously proposed method into a one-shot process.