An accurate imaging technique of complex nonstationary wave functions and a method of inversion of excited-state potentials is developed. The wave function imaging is accomplished by using both frequency-resolved and time-resolved fluorescence data, thereby reducing the problem to a solvable set of linear algebraic equations. The procedure is demonstrated for excited-state Na-2 wave packets created by ultrashort pulse excitations. A method for evaluating the sign of the transition-dipole amplitudes from the spectral line strengths is developed. Using the transition-dipole amplitudes thus generated, plus the transition frequencies and the ground state potential, we show how to obtain excited-state potentials. Contrary to the RKR procedure, this inversion scheme is not limited to diatomic molecules and is capable of yielding potentials at energies above the dissociation thresholds. Highly accurate inversions of the Na-2(A(1) Sigma(u)(+)) and Na-2(B-1 Pi(u)) excited-state potentials are demonstrated.