Q$7.$ Given camera focal lengths in $x,y$ directions as ${}_x=30mm,{}_y=32mm,$ and

$=1\mathrm{.}05$ for a camera sensor with resolution of $1024$ pixels $768$ pixels. An object

is located in front of the camera at coordinates $(u,v,w)=$

$(300mm,500mm,600mm).$ Compute the $x,y$ pixel positions for this object given

that $w$ is measured from the optical center and the $w-$axis is the same as the camera

optical axis. $[10$ points$]$

$x_1^{}=x_1^2+sin(x_3)$

$x_2^{}=x_1^2+x_{3}cos(x_2)$

$x_3^{}=e^{2x_3}+sin(x_1^2)$