The Laplacian operator uses the 2nd-order derivative, 2f=x22f, to estimate the magnitude of the spatial variation at a point. High-frequency emphasis is a method based on the Laplacian for enhancing image quality, which can be modeled using the following equation: g=f2f a) Given that the Laplacian operation is implemented as a spatial filter with the following mask: [121], derive the corresponding spatial-domain mask for computing g from equation 1 . b) The mask computed in part a can be viewed as a linear filtering process. a. Derive the Discrete Fourier Transform of this filter b. Plot the resulting magnitude spectrum c. Determine the basic filter type (e.g., lowpass, highpass, bandpass, band-reject)