1. a) Give the N-dimensional Fourier Transform and its Inverse Fourier Transform [2 Marks] x0 2...

      

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1. a) Give the N-dimensional Fourier Transform and its Inverse Fourier Transform [2 Marks] x0 2 b) Let N=4 and x = x1 -2-21 calculate the Discrete Fourier Transform of x. x2 -21 \x3 4+4i [12 Marks] c)Show that the N-Dimensional Gaussian kernel is separable into N 1-Dimensional Gaussian kernel. Give the running times of the N-Dimensional and N 1-Dimensional Gaussian kernels. [6 Marks] d) Compare and contrast Blurring masks/kernels and Derivative masks. [5Marks] 1. a) Give the N-dimensional Fourier Transform and its Inverse Fourier Transform [2 Marks] x0 2 b) Let N=4 and x = x1 -2-21 calculate the Discrete Fourier Transform of x. x2 -21 \x3 4+4i [12 Marks] c)Show that the N-Dimensional Gaussian kernel is separable into N 1-Dimensional Gaussian kernel. Give the running times of the N-Dimensional and N 1-Dimensional Gaussian kernels. [6 Marks] d) Compare and contrast Blurring masks/kernels and Derivative masks. [5Marks]