Refer to the edge models in Fig. 10.8.FIGURE 10.8 From left to right, models (ideal repres...

Refer to the edge models in Fig. 10.8.

FIGURE 10.8 From left to right, models (ideal representations) of a step, a ramp, and a roof edge, and their corresponding intensity profiles.

(a) Suppose that we compute the gradient magnitude of each of these models using the Prewitt operators in Fig. 10.14. Sketch what a horizontal profile through the center of each gradient image would look like.

FIGURE 10.14 A 3 ×3 region of an image (the z’s are intensity values) and various masks used to compute the gradient at the point labeled z5.

---

(b) Sketch a horizontal profile for each corresponding angle image.

(Note: Answer this question without generating the gradient and angle images. Simply provide sketches of the profiles that show what you would expect the profiles of the magnitude and angle images to look like.)