$3\mathrm{.}13*$ In Fig. $3\mathrm{.}25($b$),$ the transformation function labeled $(2)$

from Eq$.(3-23)]$ is the mirror image of

$(1)$ in Eq$.(3-21)]$ about a line joining the

two end points. Does this property always hold

for these two transformation functions? Explain.FIGURE $3\mathrm{.}25$

Histogram

specification.

$($a$)$ Specified histo$-$

gram.

$($b$)$ Transformation

$G(z_q),$ labeled $(1),$

and $G^{-1}(s_k),$

labeled $(2).$

$($c$)$ Result of

histogram

specification.

$($d$)$ Histogram of

image $($c$).$