Figure 2
Illustration of the variance stabilization of Fly. Left: scatterplot of the sample standard deviation of S (red) as well as the square root of a polynomial approximation of F (black), computed on S scaled to the range [0, 1] as a function of its expectation using a fifth-degree polynomial variance model. Middle: the variance stabilizing transformation f for this . Right: sample standard deviation of f(S) as a function of its expectation. The standard deviations and f are both computed using Foi (2009) and Azzari & Foi (2014). Every point of the red scatterplot corresponds to the sample mean and sample standard deviation of a narrow segment of the image; the dispersion of the scatterplot is due to the finite sample size of each segment. |