It is indicated that when observing the phenomenon of quantum chaos with the help of energy-level curves,except an energy-unfolded spectrum to be required,an unfolding procedure for the curve parameter should be considered too.A general method for the parameter unfolding could be realized by normalizing the mean-square-root of slopes of level curves.If the curves are in average declined,an energy shift is also needed for eliminating this,before the parameter unfolding process is carried out.Discussions of the curvature of so unfolded level-curves are made,in connection with the Gaspard-Rice-Mikeska-Nakamura's formula of dimensionless curvature.