  We propose a new method with Nadaraya-Watson that maps one N-dimensional
distribution to another taking into account available information about
correspondences. We extend the 2D/3D problem to higher dimensions by encoding
overlapping neighborhoods of data points and solve the high dimensional problem
in 1D space using an iterative projection approach. To show potentials of this
mapping, we apply it to colour transfer between two images that exhibit
overlapped scene. Experiments show quantitative and qualitative improvements
over previous state of the art colour transfer methods.
