Figure $1$ Camera position with respect to the railway. The subscript c indicates the camera coordinate

system $($represented using thick lines$),$ whereas the subscript w indicates the world coordinate system

$($represented by thin lines$).$

Suppose that the camera focal length is $0\mathrm{.}3cm,$ that the pixels are square, that there is no pinhole point

offset and that the camera skew is zero; write the expression for the camera projection matrix $P.(15$pts$)$

Hint: $,P=K\left[\begin{array}{cc}R& t\end{array}\right],K=\left[\begin{array}{ccc}f{m}_x& s& p_x\\ 0& f{m}_y& p_y\\ 0& 0& 1\end{array}\right]$