Skip to main content
. Author manuscript; available in PMC: 2023 Feb 1.
Published in final edited form as: IEEE Trans Ultrason Ferroelectr Freq Control. 2022 Jan 27;69(2):732–743. doi: 10.1109/TUFFC.2021.3138058

Fig. 2.

Fig. 2.

Illustration of how a probability measure is induced by an image ϕ. (a) Three disjoint subsets (E1, E2, E3) of the sample space A are shown in different shades of gray. (b) Each Ei corresponds to a different subset of the FOV Ω under the inverse mapping ϕ−1 (shown as the corresponding shades of gray). The fraction of the total FOV area corresponding to each ϕ−1(Ei) defines a probability measure μ (i.e. μ(Ei) is the probability of observing a value in Ei in the FOV) whose density is the histogram f = dμ/dλ.