An Illustrative Example

This is a function with two maxima, a minimum, and two saddles, and illustrates that the method can paste everything together nicely. The z = 1 contour is enhanced. The function is (x^2 + 3 y^2) e^(1 - x^2 - y^2). Note that the footprint coincides with a contour, which is typical of our method and is better than the usual rectangular footprint.