Draw an 11x11 grid, and for all values of (m, n) with a nonzero magnitude, draw an arrow oriented in the direction of the gradient. At each pixel location, (m, n) look at the direction of the gradient arrows in a 2x2 neighborhood in which f(m,n) is the upper left. a.) Which regions of the image have no arrows in the 2x2 neighborhood (i.e. the gradient magnitude is zero)? b.) Which regions have all the arrows in the 2x2 neighborhood pointed in the same direction? c.) Which regions have arrows pointed in different directions? d.) How are the regions in (a) to (c) related to the image content?