Figure 8

Topological changes in the intersection of two isosurfaces extracted from a function$V\to R^2$, where V is a bounded domain in R³. The images on the left and right show the function domain in R³ and the range R², respectively. Here, images of singular fibers are represented as a line in the range [14]. (a) A single connected component in a fiber appears/disappears. (b) A pair of connected components merges/splits within a fiber.