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Physics for Geologists, Second edition

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56 Optics<br />

Figure 4.9 The mirrors in a stereoscope.<br />

Figure 4.10 These figures can be viewed stereoscopically. Concentrate on the<br />

black rings, one to each eye. It may help to separate the images with<br />

a card in front of your nose. Note that the differences of parallax<br />

create the impression of three dimensions.<br />

Topography seems exaggerated. Knowing the height of the aircraft above<br />

the ground, the focal length of the lens of the camera, and the horizontal<br />

distance between the principal points (the intersection of the optic axis of<br />

the camera with the ground and with the film), quite accurate maps can be<br />

drawn including contours and the heights of hills and buildings. The top of<br />

a tall factory chimney, <strong>for</strong> example, will be closer together in the two pho-<br />

tographs than the bottom, that is, the distances between them on the table<br />

when viewed stereoscopically will be different. An area is covered by runs<br />

and the runs must also overlap <strong>for</strong> a good map to be drawn.<br />

In Figure 4.10, see if you can fuse the two images into a single stereoscopic<br />

image. If necessary, try placing a card vertically between the two circles to<br />

encourage each eye to look at one circle only, concentrating on the dark<br />

circles. You will see a right pyramid below the thick circle, and a thin circle<br />

above the thick circle, and various triangles and points.<br />

Air photographs differ from maps in two main respects. A map is of con-<br />

stant scale, and the position of all points is the vertical projection of each<br />

Copyright 2002 by Richard E. Chapman

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