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This paper presents a parameter estimation method that makes H.264's weighted prediction (WP) practical for fade effects with quasi-optimal accuracy and low computational cost. Its high accuracy results from the fact that it is based on a theoretically-derived approximate relationship between ideal WP parameters and image characteristics that are robust with respect to motion. The method uses only simple intra-frame image characteristics, and its computational cost is therefore negligible compared with that of the encoding process itself. Experimental results show that its performance is only 1.6% worse than when ideal WP parameters are used, as opposed to degradation of from 56% to 73% with conventional methods.