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Modeling human eyes requires special care. The goal of this paper is to synthesize realistic eye-gaze and blink motion, accounting for any possible correlations between the two. The technique adopts a data-driven texture synthesis approach to the problem of synthesizing realistic eye motion. The basic assumption is that eye gaze probably has some connection with eyelid motion, as well as with head motion and speech. But the connection is not strictly deterministic and would be difficult to characterize explicitly. A major advantage of the data-driven approach is that the investigator does not need to determine whether these apparent correlations actually exist. If the correlations occur in the data, the synthesis (properly applied) will reproduce them.