Consider the following pair of filter kernels: -1 -1-1-1-1-1 -1 -3 -4 -4 -3 -1 2...

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Consider the following pair of filter kernels: -1 -1-1-1-1-1 -1 -3 -4 -4 -3 -1 2 4 5 5 4 2 2 4 5 5 4 2 -1 -3 -4 -4 -3 -1 -1 -1-1-1-1-1 دن | 2 1 1 1 1 1 1 -1 -2 -3 -3 -2 -1 -1 -3 -4 -4 -1 1 3 4 4 1 1 2 3 3 1 -1-1-1-1-1 -1 ن | من | دن -3 3 2 1. Why do these kernels form approximately a quadrature pair? 2. What is the "DC" response of each of the kernels, and what is the significance of this? 3. To which orientations and to what kinds of image structure are these filters most sensitive? 4. Mechanically how would these kernels be applied directly to an image for filtering or feature extraction? 5. How could their respective Fourier Transforms alternatively be applied to an image, to achieve the same effect as in (4) above? 6. How could these kernels be combined to locate facial features? Consider the following pair of filter kernels: -1 -1-1-1-1-1 -1 -3 -4 -4 -3 -1 2 4 5 5 4 2 2 4 5 5 4 2 -1 -3 -4 -4 -3 -1 -1 -1-1-1-1-1 دن | 2 1 1 1 1 1 1 -1 -2 -3 -3 -2 -1 -1 -3 -4 -4 -1 1 3 4 4 1 1 2 3 3 1 -1-1-1-1-1 -1 ن | من | دن -3 3 2 1. Why do these kernels form approximately a quadrature pair? 2. What is the "DC" response of each of the kernels, and what is the significance of this? 3. To which orientations and to what kinds of image structure are these filters most sensitive? 4. Mechanically how would these kernels be applied directly to an image for filtering or feature extraction? 5. How could their respective Fourier Transforms alternatively be applied to an image, to achieve the same effect as in (4) above? 6. How could these kernels be combined to locate facial features?

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