The Statistic
The histogram of feature  φ  over curve  Γ  is
–H(z; φk, Γ) = ∫δ(z-φk(s)) ds
–   δ  is the Dirac function:  mass 1 at 0, and 0 otherwise
μ(z; φk)  denotes the average over all images
Zhu claims  μ  is a close estimation of the marginal distribution of the “true distribution” over shape space, assuming the total number of linelets is small.