Hidden Geometry of Bidirectional Grid-Constrained Stochastic Processes

Figure 6

Contour plots as is made Bidirectional. The scale shows the 3D surface’s height as it is mapped onto . (a) : we can see how negative values of lead to a concave contour, whereas positive values of lead to a convex contour, due to the odd power of . (b) Use Case V: by taking the absolute value of before passing it through , we see that the contour plot is convex in both directions of , that is, is Bidirectional. (a) . (b) .

(a)

(b)