1) Given two functions f(x,y) and h(u,v) of the size MXN.
a) Write down the discrete convolution of the two functions.b) Write down the correlation of the two functions.c) Define the equation of theirFourierTransform.d) Write down the equation for the computation of their inverse Fourier Transform.e) Draw a simplified block diagram of multipurpose Digital Image Processing system.
2a) A pixel P at the coordinates (x,y) has four horizontal and vertical neighbours.i) Write down the coordinates of these neighboursii) Also write down the coordinate of the diagonal neighbours of p.
2b) Consider the image segment;
3 1 2 1 (q) 2 2 0 2 1 2 1 1 1 0 1 2(p)
i) Let V={0,1} and compute the lengths of the shrtest 4,8 and m-path between p and q. if a particular path does not exist between these two points explain why.ii) Repeat for V={1,2}
3)If a digital image f(i,j) is represented by a matrix with N-rows and M columnsi) Write the general matrix to represent this image.ii) If Q is the grey scale level and is equal to 2q where N=M=1024, calculate the storage requirement of this image if q=8. q is the number in bits/pixel.
3b) Explain what you understand by remote diagnosis and how it is achieved using DIP.