Usually, if an implicit equation $F(x, y) = 0$ defines a curve (or curves) on the x-y plane, then we can use the inequalities $F(x, y) < 0$ or $F(x, y) > 0$ to color the regions bounded by the curve (or curves). In this way, we can make interesting pictures.
Suppose $(x, y) = (f(t), g(t))$ defines a parametric curve (an example picture) on the plane. How to color the regions (an example picture) bounded by the curve without converting the parametric equation to an implicit equation?