Time-frequency energy distributions are faced with a trade-off between localization and interference. Different approaches exist for getting sharply localized that are almost interference-free: they are based either on some forms of post-processing (reassignment and synchrosqueezing, and variations thereof, which both move computed values in the plane) or by invoking sparsity arguments and replacing a Fourier-based transform by a constrained optimization. When targeting a sharpened distribution, another trade-off exists between localization and reconstruction capabilities: some methods are presented in order to overcome this limitation.