Consider the following pixel values for an RGB colour image:

Figure $1$: Colour image with its $(R,G,B$ values.

$($a$)$ How many pixels are there in the colour image given in Fig. $1?$ Explain what is a pixel

for a colour image.

$[5$ marks$]$

$($b$)$ Compute the color ratio $(r,g)$ for all pixels of the image shown Fig. $1.$ Explain your

computations.

$[5$ marks$]$

$($c$)$ Compute the $2$D histogram of the $(r,g)$ values using $4$ bins of equal size in each dimension

covering the space $(r,g)in[0$;$1][0$;$1].$ How many bins are there in this $2D$ histogram?

$[5$ marks$]$

$($d$)$ What is the map $($for the image Fig. $1)$ computed by histogram backprojection using a

template histogram having only one value $(r,g)=(0,0)?$ Explain.

$[5$ marks$]$

$($e$)$ Comment on what visual attributes in addition to colour have been used for analysing

images.