Based on the figure above:

1. if h = 9 and d=12, what is the field of view angle?

2. For coordinates (3, 8, 20), what is the numerical value of the projected coordinate x_p? y_p? z_p?

3. For coordinates (3, 8, 30), what is the numerical value of the projected coordinate x_p? y_p? z_p?

FIGURE 1.21 Angle of view. 4ly, FIGURE 1.20 Side view of pinhole camera. so small that only a single ray of light, emanating from a point, can enter it. The film plane is located a distance d from the pinhole. A side view (Figure 1.20) allows us to calculate where the image of the point (x, y, z) is on the film plane Z=-d. Using the fact that the two triangles in Figure 1.20 are similar, we find that the y coordinate of the image is aty, where Y- A similar calculation, using a top view, yields *, -27 The point (pyp: -d) is called the projection of the point (x, y, z). In our idealized model, the color on the film plane at this point will be the color of the point (x, y, z). The field, or angle, of view of our camera is the angle made by the largest object that our camera can image on its film plane. We can calculate the field of view with the aid of Figure 1.21. If h is the height of the camera, the angle of view is 0 - 2 tan The ideal pinhole camera has an infinite depth of field: Every point within its field