Let two identical cameras be placed in canonical geometric position with optical centres $O_1$ and

$O_2$ and parallel optical axes and $\{$:$O_2{O}_2^{\text{'}})$ as displayed in the above figure. The distance

between the optical centres is the baseline length $b$ and the focal length for both the cameras

is $f.$ Let $p,n,$ and $W_{\text{c}\text{h}\text{i}\text{p}}$ denote the physical width of one pixel on the camera's sensor$,$ the

number of pixels along one scanline, and the width of the camera's sensor$,$ or the scanline

width, respectively. A point $P$ at depth $Z$ appears in each image at different positions, $d_1$ and

$d_2,$ along a scanline. The disparity, $d=d_1-d_2,$ for the point $P$ is linked to the depth $Z(d)$ of the

point $P,$ the focal length $f,$ and the baseline length, $b.$

Calculate $Z^{-}=Z(d)-Z(d+1)$ for a disparity of $750,$ when the cameras are $75\mathrm{.}0mm$

$($millimeters$)$ apart, the focal length is $3\mathrm{.}0mm,$ the number of pixel elements per line is $1000$

and the pixel width is $1\mathrm{.}0m($micron$).$ Give your answers in millimetres $(mm)$ and round your

answers to $2$ decimal places.