  We extend our recently developed inversion method to extract excited state
potentials from fluorescence line positions and line strengths. We consider a
previous limitation of the method arising due to insufficient input data in
cases where the relatively weaker emission data are not experimentally
available. We develop a solution to this problem by "regenerating" these weak
transition lines via applying a model potential, e.g. a Morse potential. The
result of this procedure, illustrated for the Q-branch emission from the lowest
three vibrational levels of the B($^1 \Pi)$ state of LiRb, is shown to have an
error of $0.29$ cm$^{-1}$ in the classically allowed region and a global error
of $5.67$ cm$^{-1}$ for $V\le E(\nu'=10)$. The robustness of this procedure is
also demonstrated by considering the statistical error in the measured line
intensities.
