Visualization on a Closed Surface

We propose a visualization algorithm that, given a set of points in high-dimensional space, will produce an image projected on a 2-dimensional torus. The algorithm is a push and pull oriented technique which uses a sigmoid-like function to correct the pairwise distances. We describe how to make use of the torus property and show that using a torus is a generalization of employing the standard closed unit square. Experiments show the merits of the method.