4]</a></small>. The input space is represented as a uniform square grid. As the function maps positions in the input space into new positions, if we visualize the output, the whole grid, now consisting of irregular quadrangles, would look like a warped version of the original regular grid. The area (or density) of each (warped) cell has now changed, and we encode the density as opacity, so a higher opacity means more samples in smaller space. A very fine-grained manifold will look almost the same as the vis