The equivalence of Fourier-based and Wasserstein metrics on imaging problems
The equivalence of Fourier-based and Wasserstein metrics on imaging problems
We investigate properties of some extensions of a class of Fourier-based probability metrics, originally introduced to study convergence to equilibrium for the solution to the spatially homogeneous Boltzmann equation. At diĀ¤erence with the original one, the new Fourier-based metrics are well-defined also for probability distributions with diĀ¤erent centers of mass, ā¦