The modulation transfer function [MTF] of a pinhole camera with a rectangular aperture is shown here. It is a sinc function with its first zero at {14 mm"1 horizontallv and vertically. Diffraction effects are negligible and the camera does not affect the phase of the image. {a} Define MTF and its relation to the point spread function lPSF]. Eh} Find the PSF of this pinhole camera. (Do not be concerned with the value of the multiplicative constant outside the function.) The input to the pinhole camera is shown below, as a function of frequencv [um], in units mm'i. The two dots represent Dirac delta functions. (c) Determine the functions describing the input and output images, each in image space (i.e. as a function of (x,y)). Explain how you have predicted these images. Sketch them. (d) Design and explain the step by step procedure to achieve in improvement in resolution of the pinhole camera images using computer image processing. Assume the resolution improvement is to be carried out by deconvolution with the PSF. At each step detail the operation you need to perform, why you have chosen that operation, and what you expect the outcome to be. Include accurate mathematics as part of your description. Example partial answer to a hypothetical question: Step 3. Operation: summation of two images. g (x, y) = f (x, y) + h (x, y) where h(x, y) = 1 - rect(* y 200 * 206 ). So that the boundary pixels are enhanced, a new image g is created by adding the original image, f, and a rectangular border, h