Optimal Transport Mixing of Gaussian Texture Models
Sira Ferradans, Gui-Song Xia, Gabriel Peyré, Jean–François Aujol · 2011
Let us consider the modeling of textures f ∈ R N×d, where N = N1 × N2 is the number of pixels in the image, and d is the number of channels (d = 1 for grayscale and d = 3 for color datasets). We define a Gaussian distribution as µ = N (m, Σ) where m ∈ R N×d is the mean of the distribution and Σ ∈ R Nd×Nd is a positive semi-definite covariance matrix. We focus on stationary random fields X ∼ µ, which means that the distributions of X and X( · + τ) are the same for any translation vector τ ∈ Z 2. For simplicity of the exhal-00662720,