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A pattern density function using simulation analysis for controlling LGP output distribution was proposed. The pattern density function was found as [Pexp(-y/70)+Qexp(+y/25)]R. We analyzed the LGP output distribution of a hemi-sphere pattern using the function and then found that its output distribution was clearly improved as compared with that of the equi-distance pattern. We found that the density function works well for the pyramid pattern case as well as.