This paper tackles the problem of mixing color texture models learned from an input dataset. We focus on stationary Gaussian texture models, also known as spot noises. We derive the barycenter and geodesic path between models according to optimal transport. This allows the user to navigate inside the set of texture models, and perform texture synthesis from the obtained interpolated models. Numerical examples on a library of exemplars show the ability of our method to generate arbitrary interpolations among unstructured natural textures.