Fast Transport Optimization for Monge Costs on the Circle
Julie Delon, Julien Salomon, Andrei Nikolaevich Sobolevskii · SIAM Journal on Applied Mathematics · 2010
Consider the problem of optimally matching two measures on the circle, or equivalently two periodic measures on $\mathbb{R}$, and suppose that the cost $c(x,y)$ of matching two points x, y satisfies the Monge condition: $c(x_1,y_1)+c(x_2,y_2)