Hidden Geometry of Bidirectional Grid-Constrained Stochastic Processes

Figure 3

Technique to generate convex BGC polynomial cylinders (a). Cubic cylinder (b). Use Case V: spliced polynomial cylinder(s). (a) The cubic cylinder is concave for negative values and convex for positive values. (b) By forcing the negative values to be positive by the absolute value function, the entire function becomes convex and is Bidirectional of the polynomial cylinder variety (in this case a cubic cylinder). It is as if the positive part of the cubic cylinder was spliced in to replace the negative part. (a) . (b) .

(a)

(b)