10.14 the rectangle in the following binary image is of size mxn pixels. M(x,y)=\8.17 18. (10-26) fx,y)=tan 8, (*.y)] (10-18) 8.(x,y) O G HIGON 18:12 Uning the gradient to determine edge strength and direction at a point. Note that the edge direction is perpendicular to the direction of the winter at the point where the patient in computed. Bachare ROC. (Recall from He.2.19 that the writin of our coordinate wiem i at the lo in Eqs. (10-10) and (10-11). The Laplacian is then (a) What would the magnitude of the gradient of this image look like based on using the $(x,) = f(x +1.9) + f(x-1.9) + f(x,y + 1) + f(x,y - 1)-4/(x,y) (10-14) approximation in Eq. (10-26)? Assume that 8, and g, are obtained using the Sobel ker- nels. Show all relevant different pixel values in the gradient image. (b) With reference to Eq. (10-18) and Fig. 10.12, sketch the histogram of edge directions. Be precise in labeling the height of each compo- nent of the histogram. (c) What would the Laplacian of this image look like based on using Eq. (10-14)? Show all relevant different pixel values in the Lapla- cian image