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This paper presents a stochastic estimation approach to adaptive interpolation of color filter array. It models an image as a 2D locally stationary Gaussian process and achieves robustness against aliasing by employing an edge-sensitive weighting policy based on the stochastic characteristics of uniformly oriented edge indicators. Experimental results show that the algorithm can effectively eliminate the occurrence of perceptible artifact. Performance comparison in terms of peak signal-to-noise ratio and mean square error is provided to demonstrate the superiority of the proposed algorithm.